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| Publications of Brian P. Mann :recent first alphabetical combined listing:
%% Papers Published
@article{fds71156,
Author = {Insperger, T. and Stépán, G. and Bayly, P.V. and Mann, B.P.},
Title = {Multiple chatter frequencies in milling processes},
Journal = {Journal of Sound and Vibration},
Volume = {262},
Pages = {333-345},
Year = {2003},
Key = {fds71156}
}
@article{fds71157,
Author = {Bayly, P.V. and Halley, J.E. and Davies, M.A. and Mann, B.P.},
Title = {Stability of interrupted cutting by time finite element
analysis},
Journal = {Journal of Manufacturing Science and Engineering},
Volume = {125},
Pages = {220-225},
Year = {2003},
Key = {fds71157}
}
@article{fds71158,
Author = {Mann, B.P. and Insperger, T. and Bayly, P.V. and Stépán, G.},
Title = {Stability of up-milling and down-milling, Part 2:
Experimental Verification},
Journal = {International Journal of Machine Tools and
Manufacture},
Volume = {43},
Pages = {35-40},
Year = {2003},
Key = {fds71158}
}
@article{fds71159,
Author = {Insperger, T. and Mann, B.P. and Stépán, G. and Bayly, P.V.},
Title = {Stability of up-milling and down-milling, Part 1:
Alternative analytical methods},
Volume = {43},
Pages = {25-34},
Year = {2003},
Key = {fds71159}
}
@article{fds71160,
Author = {Mann, B.P. and Bayly, P.V. and Davies, M.A. and Halley, J.E.},
Title = {Limit cycles, bifurcations, and accuracy of the milling
process},
Journal = {Journal of Sound and Vibration},
Volume = {277},
Pages = {31-48},
Year = {2004},
Key = {fds71160}
}
@article{fds71161,
Author = {Mann, B.P. and Young, K.A. and Schmitz, T.L. and Dilley, D.N.},
Title = {Simultaneous stability and surface location error
predictions in milling},
Journal = {Journal of Manufacturing Science and Engineering},
Volume = {127},
Pages = {446-453},
Year = {2005},
Key = {fds71161}
}
@article{fds71162,
Author = {Stépán, G. and Szalai, R. and Mann, B.P. and Bayly, P.V. and Inpserger, T. and Gradisek, J. and Grovekar, E.},
Title = {Non-linear dynamics of high-speed milling – Analyses,
numerics, and experiments},
Journal = {Journal of Vibration and Acoustics},
Volume = {127},
Pages = {197-203},
Year = {2005},
Key = {fds71162}
}
@article{fds71163,
Author = {Mann, B.P. and Garg, N.K. and Young, K.A. and Helvey, A.M.},
Title = {Milling bifurcations from structural asymmetry and nonlinear
regeneration},
Journal = {Nonlinear Dynamics},
Volume = {42},
Number = {4},
Pages = {319-337},
Year = {2005},
Key = {fds71163}
}
@article{fds71164,
Author = {Koplow, M.A. and Bhattacharyya, A. and Mann, B.P.},
Title = {Closed form solutions for the dynamic response of
Euler-Bernoulli beams with step changes in cross
section},
Journal = {Journal of Sound and Vibration},
Volume = {295},
Number = {1-2},
Pages = {214-225},
Year = {2006},
Key = {fds71164}
}
@article{fds71165,
Author = {Mann, B.P. and Koplow, M.A.},
Title = {Symmetry breaking bifurcations in a parametrically excited
pendulum},
Journal = {Nonlinear Dynamics},
Volume = {46},
Number = {4},
Pages = {427–437},
Year = {2006},
Key = {fds71165}
}
@article{fds71166,
Author = {Schmitz, T.L. and Mann, B.P.},
Title = {Closed form solutions for the prediction of surface location
error in milling},
Journal = {International Journal of Machine Tools and
Manufacture},
Volume = {46},
Pages = {1369-1377},
Year = {2006},
Key = {fds71166}
}
@article{fds71167,
Author = {Mann, B.P. and Young, K.A.},
Title = {An empirical approach for delayed oscillator stability and
parametric identification},
Journal = {Proceedings of the Royal Society A},
Volume = {462},
Pages = {2145–2160},
Year = {2006},
Key = {fds71167}
}
@article{fds71168,
Author = {Long, X.H. and Balachandran, B. and Mann, B.P.},
Title = {Dynamics of milling processes with variable time
delay},
Journal = {Nonlinear Dynamics},
Volume = {47},
Number = {4},
Pages = {49-63},
Year = {2007},
Key = {fds71168}
}
@article{fds71169,
Author = {Garg, N.K. and Mann, B.P. and Kim, N.H. and Kurdi, M.H.},
Title = {Stability of a time-delayed system with parametric
excitation},
Journal = {Journal of Dynamic Systems Measurement and
Control},
Volume = {129},
Pages = {125–135},
Year = {2007},
Key = {fds71169}
}
@article{fds71170,
Author = {Mann, B.P. and Carter, R.E. and Hazra, S.S.},
Title = {Experimental study of an impact oscillator with viscoelastic
and Hertzian contact},
Journal = {Nonlinear Dynamics},
Volume = {50},
Number = {3},
Pages = {587–596},
Year = {2007},
Key = {fds71170}
}
@article{fds71172,
Author = {Liu, J. and Martin, D.T. and Kadirvel, K. and Nishida, T. and Catafesta
L.N., Sheplak and M., Mann and B.P.},
Title = {Nonlinear model and system identification of a capacitive
dual-backplate MEMS microphone},
Journal = {Journal of Sound and Vibration},
Volume = {309},
Pages = {276-292},
Year = {2008},
Key = {fds71172}
}
@article{fds71171,
Author = {Patel, B. and Mann, B.P. and Young, K.A.},
Title = {Uncharted islands of chatter instability in
milling},
Journal = {International Journal of Machine Tools and
Manufacture},
Volume = {48},
Number = {1-2},
Pages = {124-134},
Year = {2008},
Key = {fds71171}
}
@article{fds150006,
Author = {Mann, B.P. and Edes, B.T. and Young, Easley and S.J., K.A. and Ma, K.},
Title = {Surface location error and chatter prediction for helical
end mills},
Journal = {International Journal of Machine Tools and
Manufacture},
Volume = {317},
Number = {3-5},
Pages = {664-686},
Year = {2008},
Key = {fds150006}
}
@article{fds150007,
Author = {Mann, B.P. and Liu, J. and Hazra, S.S.},
Title = {Measurement nonlinearity interpreted as material behavior in
dynamic nanoindentation},
Journal = {Journal of Sound and Vibration},
Volume = {311},
Pages = {1358-1370},
Year = {2008},
Key = {fds150007}
}
@article{fds150008,
Author = {Liu, J. and Martin, D.T. and Kadirvel, K. and Nishida, T. and Catafesta
L.N., Sheplak and M., Mann and B.P.},
Title = {Harmonic balance nonlinear identification from steady state
response of a dual backplate MEMS microphone},
Journal = {Journal of Microelectromechanical Systems},
Volume = {117},
Number = {3},
Pages = {1358-1370},
Year = {2008},
Key = {fds150008}
}
@article{fds150009,
Author = {N.D. Sims and B.P. Mann},
Title = {Analytical prediction of chatter stability for variable
pitch and variable helix milling tools},
Journal = {Journal of Sound and Vibration},
Volume = {317},
Number = {3-5},
Pages = {664-686},
Year = {2008},
Key = {fds150009}
}
@article{fds150010,
Author = {T. Insperger and B.P. Mann and T. Surmann and G.
Stepan},
Title = {On the chatter frequencies of milling processes with
runout},
Journal = {International Journal of Machine Tools and
Manufacture},
Volume = {48},
Pages = {1081-1089},
Year = {2008},
Key = {fds150010}
}
@article{fds150011,
Author = {B.P. Mann and N.D. Sims},
Title = {Energy harvesting from the nonlinear oscillations of
magnetic levitation},
Journal = {Journal of Sound and Vibration},
Year = {2008},
Key = {fds150011}
}
@booklet{Patel08,
Author = {B. R. Patel and B. P. Mann and K. A. Young},
Title = {Uncharted islands of chatter instability in
milling},
Journal = {International Journal Of Machine Tools \&
Manufacture},
Volume = {48},
Number = {1},
Pages = {124 -- 134},
Year = {2008},
Month = {January},
ISSN = {0890-6955},
Abstract = {This paper provides conclusive evidence that isolated
islands of chatter vibration can exist in milling processes.
Investigations show these islands are induced by the tool
helix angle and act to separate regions of period-doubling
and quasi-periodic behavior. Modeling efforts develop an
analytical force model with three piecewise continuous
regions of cutting that describe helix angle tools.
Theoretical results examine the asymptotic stability trends
for several different radial immersions and helix angles. In
addition, new results are shown through the implementation
of a temporal finite element analysis approach for delay
equations written in the form of a state space model.
Predictions are validated by a series of experimental tests
that confirm the isolated island phenomenon. (C) 2007
Elsevier Ltd. All rights reserved.},
Key = {Patel08}
}
@booklet{Liu08a,
Author = {H. Liu and D. T. Martin and K. Kadirvel and T. Nishida and L. Cattafesta and M. Sheplak and B. P. Mann},
Title = {Nonlinear model and system identification of a capacitive
dual-backplate MEMS microphone},
Journal = {Journal Of Sound And Vibration},
Volume = {309},
Number = {1-2},
Pages = {276 -- 292},
Year = {2008},
Month = {January},
ISSN = {0022-460X},
Abstract = {This paper presents the nonlinear identification of a
capacitive dual-backplate microelectromechanical systems
(MEMS) microphone. First, a nonlinear lumped element model
of the coupled electromechanical microphone dynamics is
developed. Nonlinear finite element analyses are performed
to verify the accuracy of the lumped linear and cubic
stiffnesses of the diaphragm. In order to experimentally
extract the system parameters, an approximate solution using
the secondorder multiple scales method is synthesized for a
nonlinear microphone model, subject to an electrical step
input. A nonlinear least-squares technique is then
implemented to extract system parameters from laser
vibrometry data of the diaphragm motion. The results
indicate that the theoretical fundamental resonant
frequency, damping ratio and nonlinear stiffness parameter
agree with the corresponding extracted experimental
parameters with 95\% confidence interval estimates. (c) 2007
Elsevier Ltd. All rights reserved.},
Key = {Liu08a}
}
@article{ISI:000251938400012,
Author = {Patel, B. R. and Mann, B. P. and Young, K.
A.},
Title = {Uncharted islands of chatter instability in
milling},
Journal = {INTERNATIONAL JOURNAL OF MACHINE TOOLS \&
MANUFACTURE},
Volume = {48},
Number = {1},
Pages = {124-134},
Year = {2008},
Month = {January},
ISSN = {0890-6955},
url = {http://dx.doi.org/10.1016/j.ijmachtools.2007.06.009},
Abstract = {This paper provides conclusive evidence that isolated
islands of chatter vibration can exist in milling processes.
Investigations show these islands are induced by the tool
helix angle and act to separate regions of period-doubling
and quasi-periodic behavior. Modeling efforts develop an
analytical force model with three piecewise continuous
regions of cutting that describe helix angle tools.
Theoretical results examine the asymptotic stability trends
for several different radial immersions and helix angles. In
addition, new results are shown through the implementation
of a temporal finite element analysis approach for delay
equations written in the form of a state space model.
Predictions are validated by a series of experimental tests
that confirm the isolated island phenomenon. (C) 2007
Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.ijmachtools.2007.06.009},
Key = {ISI:000251938400012}
}
@article{ISI:000251622100018,
Author = {Liu, Han and Martin, David T. and Kadirvel, Karthik and Nishida, Toshikazu and Cattafesta, Louis and Sheplak, Mark and Mann, Brian P.},
Title = {Nonlinear model and system identification of a capacitive
dual-backplate MEMS microphone},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {309},
Number = {1-2},
Pages = {276-292},
Year = {2008},
Month = {January},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2007.07.037},
Abstract = {This paper presents the nonlinear identification of a
capacitive dual-backplate microelectromechanical systems
(MEMS) microphone. First, a nonlinear lumped element model
of the coupled electromechanical microphone dynamics is
developed. Nonlinear finite element analyses are performed
to verify the accuracy of the lumped linear and cubic
stiffnesses of the diaphragm. In order to experimentally
extract the system parameters, an approximate solution using
the secondorder multiple scales method is synthesized for a
nonlinear microphone model, subject to an electrical step
input. A nonlinear least-squares technique is then
implemented to extract system parameters from laser
vibrometry data of the diaphragm motion. The results
indicate that the theoretical fundamental resonant
frequency, damping ratio and nonlinear stiffness parameter
agree with the corresponding extracted experimental
parameters with 95\% confidence interval estimates. (c) 2007
Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.jsv.2007.07.037},
Key = {ISI:000251622100018}
}
@booklet{Mann08a,
Author = {B. P. Mann and B. T. Edes and S. J. Easley and K. A. Young and K. Ma},
Title = {Chatter vibration and surface location error prediction for
helical end mills},
Journal = {International Journal Of Machine Tools \&
Manufacture},
Volume = {48},
Number = {3-4},
Pages = {350 -- 361},
Year = {2008},
Month = {March},
ISSN = {0890-6955},
Abstract = {This paper describes a new theoretical model for the cutting
forces of a helical end mill. A specific advantage for the
presented model is the convenience in implementing the
developed expressions for vibration prediction.
Specifically, the presented force model is used to predict
cutting forces with a Fourier series expansion, to predict
surface location error with a Harmonic Balance approach, and
to simultaneously predict surface location error and chatter
vibration with an updated temporal finite element analysis.
The developed analyses are compared and validated through
comparisons with prior works. (c) 2007 Elsevier Ltd. All
rights reserved.},
Key = {Mann08a}
}
@article{ISI:000253093000009,
Author = {Mann, Brian P. and Edes, Ben T. and Easley, Sam J. and Young, Keith A. and Ma, Kong},
Title = {Chatter vibration and surface location error prediction for
helical end mills},
Journal = {INTERNATIONAL JOURNAL OF MACHINE TOOLS \&
MANUFACTURE},
Volume = {48},
Number = {3-4},
Pages = {350-361},
Year = {2008},
Month = {March},
ISSN = {0890-6955},
url = {http://dx.doi.org/10.1016/j.ijmachtools.2007.10.003},
Abstract = {This paper describes a new theoretical model for the cutting
forces of a helical end mill. A specific advantage for the
presented model is the convenience in implementing the
developed expressions for vibration prediction.
Specifically, the presented force model is used to predict
cutting forces with a Fourier series expansion, to predict
surface location error with a Harmonic Balance approach, and
to simultaneously predict surface location error and chatter
vibration with an updated temporal finite element analysis.
The developed analyses are compared and validated through
comparisons with prior works. (c) 2007 Elsevier Ltd. All
rights reserved.},
Doi = {10.1016/j.ijmachtools.2007.10.003},
Key = {ISI:000253093000009}
}
@booklet{Mann08,
Author = {B. P. Mann and J. Liu and S. S. Hazra},
Title = {Measurement nonlinearity interpreted as material behavior in
dynamic nanoindentation},
Journal = {Journal Of Sound And Vibration},
Volume = {311},
Number = {3-5},
Pages = {1358 -- 1370},
Year = {2008},
Month = {April},
ISSN = {0022-460X},
Abstract = {This paper explores the errors that may arise in when
interpreting dynamic nanoindentation measurements with a
linear oscillator model. The work was motivated by an
experimental observation that the system's primary resonance
can be dramatically altered by changes in loading
conditions. Investigations elucidate that different sources
of nonlinearity can interact to alter the identified contact
stiffness which will manifest itself as a change in the
system's primary and secondary resonances. The errors
associated with interpreting dynamic indentation
measurements with a linear model are investigated through
modeling, analysis, and numerical study. Theoretical efforts
show that measurement nonlinearity can be falsely
interpreted as material behavior. Hence, the common practice
of applying a linear oscillator model is expected to
sometimes lead to significant errors. These finding suggest
that a nonlinear analysis may often be required to improve
measurement interpretations. (c) 2007 Elsevier Ltd. All
rights reserved.},
Key = {Mann08}
}
@article{ISI:000253872300046,
Author = {Mann, B. P. and Liu, J. and Hazra, S. S.},
Title = {Measurement nonlinearity interpreted as material behavior in
dynamic nanoindentation},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {311},
Number = {3-5},
Pages = {1358-1370},
Year = {2008},
Month = {April},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2007.10.023},
Abstract = {This paper explores the errors that may arise in when
interpreting dynamic nanoindentation measurements with a
linear oscillator model. The work was motivated by an
experimental observation that the system's primary resonance
can be dramatically altered by changes in loading
conditions. Investigations elucidate that different sources
of nonlinearity can interact to alter the identified contact
stiffness which will manifest itself as a change in the
system's primary and secondary resonances. The errors
associated with interpreting dynamic indentation
measurements with a linear model are investigated through
modeling, analysis, and numerical study. Theoretical efforts
show that measurement nonlinearity can be falsely
interpreted as material behavior. Hence, the common practice
of applying a linear oscillator model is expected to
sometimes lead to significant errors. These finding suggest
that a nonlinear analysis may often be required to improve
measurement interpretations. (c) 2007 Elsevier Ltd. All
rights reserved.},
Doi = {10.1016/j.jsv.2007.10.023},
Key = {ISI:000253872300046}
}
@booklet{Liu08,
Author = {J. Liu and D. T. Martin and T. Nishida and L. N. Cattafesta and M. Sheplak and B. P. Mann},
Title = {Harmonic balance Nonlinear identification of a capacitive
dual-backplate MEMS microphone},
Journal = {Journal Of Microelectromechanical Systems},
Volume = {17},
Number = {3},
Pages = {698 -- 708},
Year = {2008},
Month = {June},
ISSN = {1057-7157},
Abstract = {This paper describes the application of a nonlinear
identification method to extract model parameters from the
steady-state response of a capacitive dual-backplate
microelectromechanical systems microphone. The microphone is
modeled as a single-degree-of-freedom second-order system
with both electrostatic and mechanical nonlinearities. A
harmonic balance approach is applied to the nonlinear
governing equation to obtain a set of algebraic equations
that relate the unknown system parameters to the
steady-state response of the microphone. Numerical
simulations of the governing equation are also performed,
using theoretical system parameters, to validate the
accuracy of the harmonic balance solution for a weakly
nonlinear microphone system with low damping. Finally, the
microphone is experimentally characterized by extracting the
system parameters from the response amplitude and phase
relationships of the experimental data.},
Key = {Liu08}
}
@article{ISI:000256626300017,
Author = {Liu, Jian and Martin, David T. and Nishida, Toshikazu and Cattafesta, III, Louis N. and Sheplak, Mark and Mann, Brian
P.},
Title = {Harmonic balance Nonlinear identification of a capacitive
dual-backplate MEMS microphone},
Journal = {JOURNAL OF MICROELECTROMECHANICAL SYSTEMS},
Volume = {17},
Number = {3},
Pages = {698-708},
Year = {2008},
Month = {June},
ISSN = {1057-7157},
url = {http://dx.doi.org/10.1109/JMEMS.2008.922067},
Abstract = {This paper describes the application of a nonlinear
identification method to extract model parameters from the
steady-state response of a capacitive dual-backplate
microelectromechanical systems microphone. The microphone is
modeled as a single-degree-of-freedom second-order system
with both electrostatic and mechanical nonlinearities. A
harmonic balance approach is applied to the nonlinear
governing equation to obtain a set of algebraic equations
that relate the unknown system parameters to the
steady-state response of the microphone. Numerical
simulations of the governing equation are also performed,
using theoretical system parameters, to validate the
accuracy of the harmonic balance solution for a weakly
nonlinear microphone system with low damping. Finally, the
microphone is experimentally characterized by extracting the
system parameters from the response amplitude and phase
relationships of the experimental data.},
Doi = {10.1109/JMEMS.2008.922067},
Key = {ISI:000256626300017}
}
@booklet{Insperger08,
Author = {T. Insperger and B. P. Mann and T. Surmann and G.
Stepan},
Title = {On the chatter frequencies of milling processes with
runout},
Journal = {International Journal Of Machine Tools \&
Manufacture},
Volume = {48},
Number = {10},
Pages = {1081 -- 1089},
Year = {2008},
Month = {August},
ISSN = {0890-6955},
Abstract = {The detection of undesirable vibrations in milling
operations is an important task for the manufacturing
engineer. While monitoring the frequency spectra is usually
an efficient approach for chatter detection, since these
spectra typically have a clear and systematic structure, we
show in this paper that the stability of the cutting process
cannot always be determined from solely viewing the
frequency spectra. Specifically, the disturbing effect of
the tool runout can sometimes prevent the proper
determination of stability. In this paper, we show these
cases can be classified by alternative analysis of the
vibration signal and the corresponding Poincare section.
Floquet theory for periodic systems is used to explore the
influence of runout oil the structure of milling chatter
frequencies. Finally, the results froin theoretical analysis
are confirmed by a series of experimental cutting tests. (c)
2008 Elsevier Ltd. All rights reserved.},
Key = {Insperger08}
}
@article{ISI:000256892500003,
Author = {Insperger, Tamas and Mann, Brian P. and Surmann, Tobias and Stepan, Gabor},
Title = {On the chatter frequencies of milling processes with
runout},
Journal = {INTERNATIONAL JOURNAL OF MACHINE TOOLS \&
MANUFACTURE},
Volume = {48},
Number = {10},
Pages = {1081-1089},
Year = {2008},
Month = {August},
ISSN = {0890-6955},
url = {http://dx.doi.org/10.1016/j.ijmachtools.2008.02.002},
Abstract = {The detection of undesirable vibrations in milling
operations is an important task for the manufacturing
engineer. While monitoring the frequency spectra is usually
an efficient approach for chatter detection, since these
spectra typically have a clear and systematic structure, we
show in this paper that the stability of the cutting process
cannot always be determined from solely viewing the
frequency spectra. Specifically, the disturbing effect of
the tool runout can sometimes prevent the proper
determination of stability. In this paper, we show these
cases can be classified by alternative analysis of the
vibration signal and the corresponding Poincare section.
Floquet theory for periodic systems is used to explore the
influence of runout oil the structure of milling chatter
frequencies. Finally, the results froin theoretical analysis
are confirmed by a series of experimental cutting tests. (c)
2008 Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.ijmachtools.2008.02.002},
Key = {ISI:000256892500003}
}
@booklet{Kurdi08,
Author = {M. H. Kurdi and R. T. Haftka and T. L. Schmitz and B. P.
Mann},
Title = {A Robust Semi-Analytical Method for Calculating the Response
Sensitivity of a Time Delay System},
Journal = {Journal Of Vibration And Acoustics-transactions Of The
Asme},
Volume = {130},
Number = {6},
Year = {2008},
Month = {December},
ISSN = {1048-9002},
Abstract = {It is often necessary to establish the sensitivity of an
engineering system's response to variations in the
process/control parameters. Applications of the calculated
sensitivity include gradient-based optimization and
uncertainty quantification, which generally require an
efficient and robust sensitivity calculation method. In this
paper, the sensitivity of the milling process, which can be
modeled by a set of time delay differential equations, to
variations in the input parameters is calculated. The
semi-analytical derivative of the maximum eigenvalue
provides the necessary information for determining the
sensitivity of the process stability to input variables.
Comparison with the central finite difference derivative of
the stability boundary shows that the semi-analytical
approach is more efficient and robust with respect to step
size and numerical accuracy of the response. An
investigation of the source of inaccuracy of the finite
difference approximation found that it is caused by
discontinuities associated with the iterative process of
root finding using the bisection method.},
Key = {Kurdi08}
}
@article{ISI:000260310300013,
Author = {Kurdi, Mohammad H. and Haftka, Raphael T. and Schmitz, Tony
L. and Mann, Brian P.},
Title = {A Robust Semi-Analytical Method for Calculating the Response
Sensitivity of a Time Delay System},
Journal = {JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE
ASME},
Volume = {130},
Number = {6},
Year = {2008},
Month = {December},
ISSN = {1048-9002},
url = {http://dx.doi.org/10.1115/1.2981093},
Abstract = {It is often necessary to establish the sensitivity of an
engineering system's response to variations in the
process/control parameters. Applications of the calculated
sensitivity include gradient-based optimization and
uncertainty quantification, which generally require an
efficient and robust sensitivity calculation method. In this
paper, the sensitivity of the milling process, which can be
modeled by a set of time delay differential equations, to
variations in the input parameters is calculated. The
semi-analytical derivative of the maximum eigenvalue
provides the necessary information for determining the
sensitivity of the process stability to input variables.
Comparison with the central finite difference derivative of
the stability boundary shows that the semi-analytical
approach is more efficient and robust with respect to step
size and numerical accuracy of the response. An
investigation of the source of inaccuracy of the finite
difference approximation found that it is caused by
discontinuities associated with the iterative process of
root finding using the bisection method.},
Doi = {10.1115/1.2981093},
Key = {ISI:000260310300013}
}
@inproceedings{ISI:000282725500048,
Author = {Khasawneh, Firas A. and Patel, Bhavin and Mann, Brian
P.},
Title = {A STATE-SPACE TEMPORAL FINITE ELEMENT APPROACH FOR STABILITY
INVESTIGATIONS OF DELAY EQUATIONS},
Pages = {415-423},
Booktitle = {SMASIS2009, VOL 1},
Organization = {ASME; AIAA},
Institution = {ASME; AIAA},
Year = {2009},
ISBN = {978-0-7918-4896-8},
Abstract = {This paper describes a new approach to examine the stability
of delay differential equations that builds upon prior work
using temporal finite element analysis. In contrast to
previous analyses, which could only be applied to second
order delay differential equations, the present manuscript
develops an approach which can be applied to a broader class
of systems - systems that may be written in the form of a
state space model. A primary outcome from this work is a
generalized framework to investigate the asymptotic
stability of autonomous delay differential equations with a
single time delay. Furthermore, this approach is shown to be
applicable to time-periodic delay differential equations and
equations that are piecewise continuous.},
Key = {ISI:000282725500048}
}
@inproceedings{ISI:000266709500066,
Author = {Khasawneh, Firas A. and Mann, Brian P. and Insperger, Tamas and Stepan, Gabor},
Title = {EXPLANATION FOR LOW-SPEED STABILITY INCREASES IN MACHINING:
APPLICATION OF A CONTINUOUS DELAY MODEL},
Pages = {503-510},
Booktitle = {PROCEEDINGS OF THE ASME DYNAMIC SYSTEMS AND CONTROL
CONFERENCE 2008, PTS A AND B},
Organization = {Amer Soc Mech Engineers, Dynam Syst \& Control Div; IEE
Japan; Inst Syst, Control \& Informat Engineers; Japan Soc
Precis Engn; Soc Automot Engineers Japan; Inst Elect,
Informat \& Commun Engineers},
Institution = {Amer Soc Mech Engineers, Dynam Syst \& Control Div; IEE
Japan; Inst Syst, Control \& Informat Engineers; Japan Soc
Precis Engn; Soc Automot Engineers Japan; Inst Elect,
Informat \& Commun Engineers},
Year = {2009},
ISBN = {978-0-7918-4335-2},
Abstract = {This paper investigates the analysis of delay
integro-differential equations to explain the increased
stability behavior commonly observed at low cutting speeds
in machining processes. In the past, this improved stability
has been attributed to the energy dissipation from the
interference between the work-piece and the tool relief
face. In this study, an alternative physical explanation is
described. In contrast to the conventional approach, which
uses a point force acting at the tool tip, the cutting
forces are distributed over the tool-chip interface. This
approximation results in a second order delayed
integro-differential equation for the system that involves a
short and a discrete delay A method for determining the
stability of the system for all exponential shape function
is described, and temporal finite element analysis is used
to chart the stability regions. Comparisons art, then made
between the stability charts that use the conventional point
force and those that use the distributed force model for
continuous and interrupted turning.},
Key = {ISI:000266709500066}
}
@booklet{Mann09b,
Author = {B. P. Mann and N. D. Sims},
Title = {Energy harvesting from the nonlinear oscillations of
magnetic levitation},
Journal = {Journal Of Sound And Vibration},
Volume = {319},
Number = {1-2},
Pages = {515 -- 530},
Year = {2009},
Month = {January},
ISSN = {0022-460X},
Abstract = {This paper investigates the design and analysis of a novel
energy harvesting device that uses magnetic levitation to
produce an oscillator with a tunable resonance. The
governing equations for the mechanical and electrical
domains are derived to show the designed system reduces to
the form of a Duffing oscillator under both static and
dynamic loads. Thus, nonlinear analyses are required to
investigate the energy harvesting potential of this
prototypical nonlinear system. Theoretical investigations
are followed by a series of experimental tests that validate
the response predictions. The motivating hypothesis for the
current work was that nonlinear phenomenon Could be
exploited to improve the effectiveness of energy harvesting
devices. (C) 2008 Elsevier Ltd. All rights
reserved.},
Key = {Mann09b}
}
@article{ISI:000261657500030,
Author = {Mann, B. P. and Sims, N. D.},
Title = {Energy harvesting from the nonlinear oscillations of
magnetic levitation},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {319},
Number = {1-2},
Pages = {515-530},
Year = {2009},
Month = {January},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2008.06.011},
Abstract = {This paper investigates the design and analysis of a novel
energy harvesting device that uses magnetic levitation to
produce an oscillator with a tunable resonance. The
governing equations for the mechanical and electrical
domains are derived to show the designed system reduces to
the form of a Duffing oscillator under both static and
dynamic loads. Thus, nonlinear analyses are required to
investigate the energy harvesting potential of this
prototypical nonlinear system. Theoretical investigations
are followed by a series of experimental tests that validate
the response predictions. The motivating hypothesis for the
current work was that nonlinear phenomenon Could be
exploited to improve the effectiveness of energy harvesting
devices. (C) 2008 Elsevier Ltd. All rights
reserved.},
Doi = {10.1016/j.jsv.2008.06.011},
Key = {ISI:000261657500030}
}
@booklet{Mann09a,
Author = {B. P. Mann and F. A. Khasawneh},
Title = {An energy-balance approach for oscillator parameter
identification},
Journal = {Journal Of Sound And Vibration},
Volume = {321},
Number = {1-2},
Pages = {65 -- 78},
Year = {2009},
Month = {March},
ISSN = {0022-460X},
Abstract = {An energy-based approach for parametric nonlinear
identification was investigated. The presented method uses
an energy balance on the oscillator governing equations for
identification purposes, thus requiring the availability of
the position and velocity signals. Since it is rarely
practical to measure every state variable in an experimental
setting, we describe an alternative procedure for estimating
velocity from the measured displacement. The presented
approach uses cubic smoothing splines to avoid the noise
amplification effect that occurs for numerical signal
derivatives. Finally, we investigate the identification of
parameters from both numerical and experimental data for
three nonlinear oscillators. These studies demonstrate the
effectiveness of the presented energy-balance approach for
transient, periodic, and chaotic response behavior. (C) 2008
Elsevier Ltd. All rights reserved.},
Key = {Mann09a}
}
@article{ISI:000264349400005,
Author = {Mann, B. P. and Khasawneh, F. A.},
Title = {An energy-balance approach for oscillator parameter
identification},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {321},
Number = {1-2},
Pages = {65-78},
Year = {2009},
Month = {March},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2008.09.036},
Abstract = {An energy-based approach for parametric nonlinear
identification was investigated. The presented method uses
an energy balance on the oscillator governing equations for
identification purposes, thus requiring the availability of
the position and velocity signals. Since it is rarely
practical to measure every state variable in an experimental
setting, we describe an alternative procedure for estimating
velocity from the measured displacement. The presented
approach uses cubic smoothing splines to avoid the noise
amplification effect that occurs for numerical signal
derivatives. Finally, we investigate the identification of
parameters from both numerical and experimental data for
three nonlinear oscillators. These studies demonstrate the
effectiveness of the presented energy-balance approach for
transient, periodic, and chaotic response behavior. (C) 2008
Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.jsv.2008.09.036},
Key = {ISI:000264349400005}
}
@booklet{Mann09,
Author = {B. P. Mann},
Title = {Energy criterion for potential well escapes in a bistable
magnetic pendulum},
Journal = {Journal Of Sound And Vibration},
Volume = {323},
Number = {3-5},
Pages = {864 -- 876},
Year = {2009},
Month = {June},
ISSN = {0022-460X},
Abstract = {This paper examines the dynamic behavior of a bistable
experiment comprised a pendulum and two Magnets.
Investigations focus on determining when the oscillations
about one equilibrium will overcome,in adjacent potential
barrier and escape to a neighboring attractor. Studies
identify the parameters of the experimental system before
investigating the generalization of an escape criterion. A
specific outcome is the generalization of an energy-based
criterion that can be Used to predict escapes for forced
and/or parametrically excited systems. (C) 2009 Elsevier
Ltd. All rights reserved.},
Key = {Mann09}
}
@article{ISI:000266677600021,
Author = {Mann, B. P.},
Title = {Energy criterion for potential well escapes in a bistable
magnetic pendulum},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {323},
Number = {3-5},
Pages = {864-876},
Year = {2009},
Month = {June},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2009.01.012},
Abstract = {This paper examines the dynamic behavior of a bistable
experiment comprised a pendulum and two Magnets.
Investigations focus on determining when the oscillations
about one equilibrium will overcome,in adjacent potential
barrier and escape to a neighboring attractor. Studies
identify the parameters of the experimental system before
investigating the generalization of an escape criterion. A
specific outcome is the generalization of an energy-based
criterion that can be Used to predict escapes for forced
and/or parametrically excited systems. (C) 2009 Elsevier
Ltd. All rights reserved.},
Doi = {10.1016/j.jsv.2009.01.012},
Key = {ISI:000266677600021}
}
@article{ISI:000270279900003,
Author = {Khasawneh, Firas A. and Mann, Brian P. and Insperger, Tamas and Stepan, Gabor},
Title = {Increased Stability of Low-Speed Turning Through a
Distributed Force and Continuous Delay Model},
Journal = {JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS},
Volume = {4},
Number = {4},
Year = {2009},
Month = {October},
ISSN = {1555-1423},
url = {http://dx.doi.org/10.1115/1.3187153},
Abstract = {This paper investigates the increased stability behavior
commonly observed in low-speed machining. In the past, this
improved stability has been attributed to the energy
dissipated by the interference between the workpiece and the
tool relief face. In this study, an alternative physical
explanation is described. In contrast to the conventional
approach, which uses a point force acting at the tool tip,
the cutting forces are distributed over the tool-chip
interface. This approximation results in a second-order
delayed integrodifferential equation for the system that
involves a short and a discrete delay. A method for
determining the stability of the system for an exponential
shape function is described, and temporal finite element
analysis is used to chart the stability regions. Comparisons
are then made between the stability charts of the point
force and the distributed force models for continuous and
interrupted turning. {[}DOI: 10.1115/1.3187153]},
Doi = {10.1115/1.3187153},
Key = {ISI:000270279900003}
}
@article{ISI:000271360400089,
Author = {Stanton, Samuel C. and McGehee, Clark C. and Mann, Brian
P.},
Title = {Reversible hysteresis for broadband magnetopiezoelastic
energy harvesting},
Journal = {APPLIED PHYSICS LETTERS},
Volume = {95},
Number = {17},
Year = {2009},
Month = {October},
ISSN = {0003-6951},
url = {http://dx.doi.org/10.1063/1.3253710},
Abstract = {We model and experimentally validate a nonlinear energy
harvester capable of bidirectional hysteresis. In
particular, both hardening and softening response within the
quadratic potential field of a power generating
piezoelectric beam (with a permanent magnet end mass) is
invoked by tuning nonlinear magnetic interactions. Not only
is this technique shown to increase the bandwidth of the
device but experimental results additionally verify the
capability to outperform linear resonance. Engaging this
nonlinear phenomenon is ideally suited to efficiently
harvest energy from ambient excitations with slowly varying
frequencies. (C) 2009 American Institute of Physics. {[}doi:
10.1063/1.3253710]},
Doi = {10.1063/1.3253710},
Key = {ISI:000271360400089}
}
@inproceedings{ISI:000290774200033,
Author = {Stanton, Samuel C. and Erturk, Alper and Mann, Brian P. and Inman, Daniel J.},
Title = {ON THE MANIFESTATION AND INFLUENCE OF MATERIAL NONLINEARITY
IN ELECTROELASTIC POWER GENERATORS},
Pages = {261-266},
Booktitle = {PROCEEDINGS OF THE ASME CONFERENCE ON SMART MATERIALS,
ADAPTIVE STRUCTURES AND INTELLIGENT SYSTEMS, 2010, VOL.
1},
Organization = {ASME, Nanotechnol Inst},
Institution = {ASME, Nanotechnol Inst},
Year = {2010},
ISBN = {978-0-7918-4415-1},
Abstract = {We investigate and model observed nonlinear piezoelectric
response of an electroelastic energy harvester. The model
employed is a simplified version of the fully nonlinear
model proposed by Stanton and Mann {[}1] since the
mechanical oscillations of the experimental device remain in
the geometrically linear regime. However, we include
quadratic damping due to the appearance of even
superharmonics in experimental data as well as suppressed
frequency response. Nonlinear coefficients are identified
via a nonlinear least squares optimization algorithm that
utilizes an approximate analytic solution obtained by the
method of harmonic balance. For PZT-5H, we obtained a fourth
order elastic tensor component of c(1111)(p) = -8.2515 x
10(15) N/m(2) and a fourth order electroelastic tensor value
of e(3111) = 9.6816 x 10(7) m/V.},
Key = {ISI:000290774200033}
}
@inproceedings{ISI:000290466700069,
Author = {Khasawneh, Firas A. and Mann, Brian P. and Bobrenkov, Oleg
A. and Butcher, Eric A.},
Title = {SELF-EXCITED VIBRATIONS IN A DELAY OSCILLATOR: APPLICATION
TO MILLING WITH SIMULTANEOUSLY ENGAGED HELICAL
FLUTES},
Pages = {1387-1395},
Booktitle = {PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING
TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN
ENGINEERING CONFERENCE, VOL 1, PT B},
Organization = {ASME, Design Engn Div; ASME, Computers \& Info Engn
Div},
Institution = {ASME, Design Engn Div; ASME, Computers \& Info Engn
Div},
Year = {2010},
ISBN = {978-0-7918-4898-2},
Abstract = {This paper investigates the stability of a milling process
with simultaneously engaged flutes by extending the
state-space temporal finite elements method. In contrast to
prior works, multiple flute engagement due to both a high
depth of cut and a high step-over distance are considered. A
particular outcome of this study is the development of a
frame work to determine the stability of periodic, piecewise
continuous delay differential equations. Another major
outcome is the demonstration of different stability behavior
at the loss of stability in comparison to prior results. To
elaborate more, period doubling regions are shown to appear
at relatively high radial immersions when multiple flutes
with either a zero or non-zero helix angle are
simultaneously cutting.},
Key = {ISI:000290466700069}
}
@inproceedings{ISI:000289913200055,
Author = {Stanton, Samuel C. and Mann, Brian P.},
Title = {HARVESTING ENERGY FROM THE NONLINEAR OSCILLATIONS OF A
BISTABLE PIEZOELECTRIC INERTIAL ENERGY GENERATOR},
Pages = {447-456},
Booktitle = {PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING
TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN
ENGINEERING CONFERENCE, VOL 1, PTS A AND
B},
Organization = {ASME, Design Engn Div; ASME, Computers \& Info Engn
Div},
Institution = {ASME, Design Engn Div; ASME, Computers \& Info Engn
Div},
Year = {2010},
ISBN = {978-0-7918-4898-2},
Abstract = {Piezoelectric materials constitute an efficient transduction
medium for passive power generation from ambient vibrations.
As such, the unimorph and bimorph piezoelectric laminate
linear beam is a prolifically researched energy harvesting
device. The linear modeling framework is amenable to
analytical solutions and frequency matching inertial energy
generators to environmental oscillations is a seemingly
ideal solution. Realistically, however; environmental
disturbances are rarely of one particular frequency and
linear oscillators are capable of strong responses only
within a limited frequency range about system resonance. In
view of these shortcomings, this paper builds upon a new
research direction and shift in design philosophy toward
purposefully incorporating nonlinearity into energy
harvesting systems. In particular, the nonlinear magnetic
forces of repulsion are introduced at the free end of a
cantilevered bimorph piezoelectric beam, where the
separation distance between two opposing permanent magnets
doubles as a controllable bifurcation parameter The
numerical results demonstrate the efficacy of the nonlinear
responses to yield markedly increased power levels when
subject to deterministic excitations of varying forcing
frequency and amplitude.},
Key = {ISI:000289913200055}
}
@article{ISI:000272896600006,
Author = {Bobrenkov, Oleg A. and Khasawneh, Firas A. and Butcher, Eric
A. and Mann, Brian P.},
Title = {Analysis of milling dynamics for simultaneously engaged
cutting teeth},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {329},
Number = {5},
Pages = {585-606},
Year = {2010},
Month = {March},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2009.09.032},
Abstract = {This paper investigates the stability of a milling process
with simultaneously engaged teeth and contrasts it to prior
work for a single tooth in the cut. The stability analyses
are performed with the Chebyshev collocation method and the
state-space TFEA technique. These analyses show that a
substantially different stability behavior is observed. In
addition, the stability lobes are shown to undergo rapid
transitions for relatively small changes in the radial
immersion ratio; these transitions are explained in terms of
the specific cutting force profiles. The stable periodic
motion of the tool was also investigated using a harmonic
balance approach and a dynamic map created with the TFEA
technique. The findings suggest that a large number of
harmonics are required for the harmonic balance approach to
obtain the correct solution. (C) 2009 Elsevier Ltd. All
rights reserved.},
Doi = {10.1016/j.jsv.2009.09.032},
Key = {ISI:000272896600006}
}
@article{ISI:000274758700010,
Author = {Mann, B. P. and Sims, N. D.},
Title = {On the performance and resonant frequency of electromagnetic
induction energy harvesters},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {329},
Number = {9},
Pages = {1348-1361},
Year = {2010},
Month = {April},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2009.11.008},
Abstract = {This paper investigates the linear response of an archetypal
energy harvester that uses electromagnetic induction to
convert ambient vibration into electrical energy. in
contrast with most prior works, the influence of the circuit
inductance is not assumed negligible. Instead, we highlight
parameter regimes where the inductance can alter resonance
and derive an expression for the resonant frequency. The
governing equations consider the case of a vibratory
generator directly powering a resistive load. These
equations are non-dimensionalized and analytical solutions
are obtained for the system's response to single harmonic,
periodic, and stochastic environmental excitations. The
presented analytical solutions are then used to study the
power delivered to an electrical load. (C) 2009 Elsevier
Ltd. All rights reserved.},
Doi = {10.1016/j.jsv.2009.11.008},
Key = {ISI:000274758700010}
}
@article{ISI:000274758700002,
Author = {Mann, B. P. and Owens, B. A.},
Title = {Investigations of a nonlinear energy harvester with a
bistable potential well},
Journal = {JOURNAL OF SOUND AND VIBRATION},
Volume = {329},
Number = {9},
Pages = {1215-1226},
Year = {2010},
Month = {April},
ISSN = {0022-460X},
url = {http://dx.doi.org/10.1016/j.jsv.2009.11.034},
Abstract = {This paper investigates a nonlinear energy harvester that
uses magnetic interactions to create an inertial generator
with a bistable potential well. The motivating hypothesis
for this work was that nonlinear behavior could be used to
improve the performance of an energy harvester by broadening
its frequency response. Theoretical investigations study the
harvester's response when directly powering an electrical
load. Both theoretical and experimental tests show that the
potential well escape phenomenon can be used to broaden the
frequency response of an energy harvester. (C) 2009 Elsevier
Ltd. All rights reserved.},
Doi = {10.1016/j.jsv.2009.11.034},
Key = {ISI:000274758700002}
}
@article{ISI:000276440100007,
Author = {Stanton, Samuel C. and McGehee, Clark C. and Mann, Brian
P.},
Title = {Nonlinear dynamics for broadband energy harvesting:
Investigation of a bistable piezoelectric inertial
generator},
Journal = {PHYSICA D-NONLINEAR PHENOMENA},
Volume = {239},
Number = {10},
Pages = {640-653},
Year = {2010},
Month = {May},
ISSN = {0167-2789},
url = {http://dx.doi.org/10.1016/j.physd.2010.01.019},
Abstract = {Vibration energy harvesting research has largely focused on
linear electromechanical devices excited at resonance
Considering that most realistic vibration environments are
more accurately described as either stochastic,
multi-frequency, time varying, or some combination thereof,
narrowband linear systems are fated to be highly inefficient
under these conditions Nonlinear systems, on the other hand.
are capable of responding over a broad frequency range,
suggesting an intrinsic suitability for efficient
performance in realistic vibration environments Since a
number of nonlinear dynamical responses emerge from
dissipative systems undergoing a homoclinic saddle-point
bifurcation, we validate this concept with a bistable
inertial oscillator comprised of permanent magnets and a
piezoelectric cantilever beam The system is analytically
modeled, numerically simulated, and experimentally realized
to demonstrate enhanced capabilities and new challenges In
addition, a bifurcation parameter within the design is
examined as either a fixed or an adaptable tuning mechanism
for enhanced sensitivity to ambient excitation (C) 2010
Elsevier B V All rights reserved},
Doi = {10.1016/j.physd.2010.01.019},
Key = {ISI:000276440100007}
}
@article{ISI:000278630000004,
Author = {Bhattacharyya, Abhijit and Schueller, John K. and Mann,
Brian P. and Ziegert, John C. and Schmitz, Tony L. and Taylor, Fred J. and Fitz-Coy, Norman G.},
Title = {A closed form mechanistic cutting force model for helical
peripheral milling of ductile metallic alloys},
Journal = {INTERNATIONAL JOURNAL OF MACHINE TOOLS \&
MANUFACTURE},
Volume = {50},
Number = {6},
Pages = {538-551},
Year = {2010},
Month = {June},
ISSN = {0890-6955},
url = {http://dx.doi.org/10.1016/j.ijmachtools.2010.03.003},
Abstract = {A closed form mechanistic model is developed for cutting
forces in helical peripheral milling (endmilling) of ductile
metallic alloys. This paper presents an alternative
derivation, using the frontal chip area, to describe two
series of cutting force expressions-one using a Heaviside
unit step function and the other using a Fourier series
expansion. A specific advantage of the present work is
highlighted by deriving analytical expressions for
sensitivity coefficients required to analytically propagate
the uncertainty in the cutting-force model parameters.
Another advantage is that even very small radial immersions
can be used to derive cutting coefficients reliably, along
with their variances. The aforementioned analytical
investigations are applied to a series of experimental
cutting tests to estimate the force-model cutting
coefficients. Experimental investigations include the study
of a tool having radial runout. Finally, confidence
intervals are placed on predicted forces which
experimentally verify the validity of the proposed force
model. (C) 2010 Elsevier Ltd. All rights
reserved.},
Doi = {10.1016/j.ijmachtools.2010.03.003},
Key = {ISI:000278630000004}
}
@article{ISI:000279491000007,
Author = {Mann, B. P. and Patel, B. R.},
Title = {Stability of Delay Equations Written as State Space
Models},
Journal = {JOURNAL OF VIBRATION AND CONTROL},
Volume = {16},
Number = {7-8, SI},
Pages = {1067-1085},
Year = {2010},
Month = {June},
ISSN = {1077-5463},
url = {http://dx.doi.org/10.1177/1077546309341111},
Abstract = {In this paper we describe a new approach to examine the
stability of delay differential equations that builds upon
prior work using temporal finite element analysis. In
contrast to previous analyses, which could only be applied
to second-order delay differential equations, the present
manuscript develops an approach which can be applied to a
broader class of systems: systems that may be written in the
form of a state space model. A primary outcome from this
work is a generalized framework to investigate the
asymptotic stability of autonomous delay differential
equations with a single time delay. Furthermore, this
approach is shown to be applicable to time-periodic delay
differential equations and equations that are piecewise
continuous.},
Doi = {10.1177/1077546309341111},
Key = {ISI:000279491000007}
}
@article{ISI:000279131000016,
Author = {Stanton, Samuel C. and Mann, Brian P.},
Title = {On the dynamic response of beams with multiple geometric or
material discontinuities},
Journal = {MECHANICAL SYSTEMS AND SIGNAL PROCESSING},
Volume = {24},
Number = {5, SI},
Pages = {1409-1419},
Year = {2010},
Month = {July},
ISSN = {0888-3270},
url = {http://dx.doi.org/10.1016/j.ymssp.2009.11.009},
Abstract = {An analytic framework is developed for determining closed
form expressions for the natural frequencies, mode shapes,
and frequency response function for Euler-Bernoulli beams
with any number of geometric or material discontinuities.
The procedure uses a convenient matrix formulation to
generalize the single discontinuity beam problem to beams
with multiple step changes. Specifically, the multiple
discontinuity beam problem is solved by analyzing the total
structure as a series of distinct Euler-Bernoulli elements
with continuity and compatibility enforced at separation
locations. The method yields each respective section's
eigenmode which may then be superpositioned to give the
entire beam's mode shape and derivation of the frequency
response function follows. Although the Euler-Bernoulli beam
problem is demonstrated, any one-dimensional continuous
structure is amenable to the prescribed analysis.
Theoretical predictions are experimentally validated as
well. (C) 2009 Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.ymssp.2009.11.009},
Key = {ISI:000279131000016}
}
@article{ISI:000279638700006,
Author = {Sneller, Adam J. and Mann, Brian P.},
Title = {On the nonlinear electromagnetic coupling between a coil and
an oscillating magnet},
Journal = {JOURNAL OF PHYSICS D-APPLIED PHYSICS},
Volume = {43},
Number = {29},
Year = {2010},
Month = {July},
ISSN = {0022-3727},
url = {http://dx.doi.org/10.1088/0022-3727/43/29/295005},
Abstract = {The electromagnetic induction of voltage across a coil due
to the motion of a magnet is among the fundamental problems
of physics, and it has a broad range of practical
applications. While Maxwell's equations exactly describe
this phenomenon, the physical complexity inherent in most
realistic situations often prevents the generation of
closed-form expressions for the electromagnetic coupling.
This paper uses basic principles to develop an approximate
analytical expression for the induced voltage in terms of a
set of physical parameters, and experimental results
demonstrate a high level of validity in the model over the
parameter values tested. For oscillatory magnet motion about
a point on a coil's axis, it is shown that the induced
voltage is an infinite sum of harmonics at integer multiples
of the oscillation frequency; the relative amplitudes of
these harmonics vary as the magnet's equilibrium position
migrates along the coil's axis, causing the odd and even
harmonics to vanish, reappear and reach peak values at
predictable locations. Several simplifications to the model
are considered, and their validity is investigated
analytically over a range of parameters.},
Doi = {10.1088/0022-3727/43/29/295005},
Key = {ISI:000279638700006}
}
@article{ISI:000283222200157,
Author = {Stanton, Samuel C. and Erturk, Alper and Mann, Brian P. and Inman, Daniel J.},
Title = {Nonlinear piezoelectricity in electroelastic energy
harvesters: Modeling and experimental identification},
Journal = {JOURNAL OF APPLIED PHYSICS},
Volume = {108},
Number = {7},
Year = {2010},
Month = {October},
ISSN = {0021-8979},
url = {http://dx.doi.org/10.1063/1.3486519},
Abstract = {We propose and experimentally validate a first-principles
based model for the nonlinear piezoelectric response of an
electroelastic energy harvester. The analysis herein
highlights the importance of modeling inherent piezoelectric
nonlinearities that are not limited to higher order elastic
effects but also include nonlinear coupling to a power
harvesting circuit. Furthermore, a nonlinear damping
mechanism is shown to accurately restrict the amplitude and
bandwidth of the frequency response. The linear
piezoelectric modeling framework widely accepted for
theoretical investigations is demonstrated to be a weak
presumption for near-resonant excitation amplitudes as low
as 0.5 g in a prefabricated bimorph whose oscillation
amplitudes remain geometrically linear for the full range of
experimental tests performed (never exceeding 0.25\% of the
cantilever overhang length). Nonlinear coefficients are
identified via a nonlinear least-squares optimization
algorithm that utilizes an approximate analytic solution
obtained by the method of harmonic balance. For lead
zirconate titanate (PZT-5H), we obtained a fourth order
elastic tensor component of c(1111)(p)=-3.6673 x 10(17)
N/m(2) and a fourth order electroelastic tensor value of
e(3111)=1.7212 x 10(8) m/V. (C) 2010 American Institute of
Physics. {[}doi:10.1063/1.3486519]},
Doi = {10.1063/1.3486519},
Key = {ISI:000283222200157}
}
@article{ISI:000285764300094,
Author = {Stanton, Samuel C. and Erturk, Alper and Mann, Brian P. and Inman, Daniel J.},
Title = {Resonant manifestation of intrinsic nonlinearity within
electroelastic micropower generators},
Journal = {APPLIED PHYSICS LETTERS},
Volume = {97},
Number = {25},
Year = {2010},
Month = {December},
ISSN = {0003-6951},
url = {http://dx.doi.org/10.1063/1.3530449},
Abstract = {This letter investigates the nonlinear response of a bimorph
energy harvester comprised of lead zirconate titanate
(PZT-5A) laminates. For near resonant excitations, we
demonstrate significant intrinsic nonlinear behavior despite
geometrically linear motion. Fourth order elastic and
electroelastic tensor values for PZT-5A are identified
following methods recently published concerning a PZT-5H
bimorph. A response trend indicative of a nonlinear
dissipative mechanism is discussed as well as the inadequacy
of linear modeling. The PZT-5A bimorph exhibits an increased
softening frequency response in comparison to PZT-5H. The
results contained herein are also applicable to
electroelastic sensor and actuator technologies. (C) 2010
American Institute of Physics. {[}doi:10.1063/1.3530449]},
Doi = {10.1063/1.3530449},
Key = {ISI:000285764300094}
}
@article{ISI:000293915700006,
Author = {Sneller, A. J. and Cette, P. and Mann, B.
P.},
Title = {Experimental investigation of a post-buckled piezoelectric
beam with an attached central mass used to harvest
energy},
Journal = {PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART
I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING},
Volume = {225},
Number = {I4, SI},
Pages = {497-509},
Year = {2011},
Month = {June},
ISSN = {0959-6518},
url = {http://dx.doi.org/10.1177/0959651811401954},
Abstract = {Recent advances in wireless electronics have outpaced
concurrent advances in battery technology, and this has led
to the emergence of vibrational energy harvesting as an
alternative source of energy for low-power wireless devices.
In particular, piezoelectric materials have been widely
studied as an energy conversion mechanism due to their
ability to generate electric potential in response to
applied mechanical strain. This paper investigates the
response of a buckled piezoelectric beam to harmonic base
excitation. Forced buckled structures may exhibit
snap-through behaviour, in which the structure rapidly
deforms from one stable configuration to another. Of
particular interest to this study is the effect of an
attached mass on persistent snap-through behaviour, which
has clear applications to energy harvesting due to its
relatively large amplitude motion. It is shown
experimentally that the addition of a small mass to the
centre of the beam significantly broadens the frequency
range over which snap-through is observed, which leads to
increased power output over those frequencies. Additionally,
it is shown that adding a centre mass can lower the
threshold forcing amplitude above which persistent
snap-through can occur. Finally, it is shown that for a
particular forcing condition, there exists a nearly linear
relationship between the applied mass and the power output
by the snap-through response. A theoretical model was
developed to describe the system's behaviour, which agreed
with experimental findings that an attached mass leads to
broadened frequency response and a lower threshold for large
amplitude response.},
Doi = {10.1177/0959651811401954},
Key = {ISI:000293915700006}
}
@article{ISI:000289601700006,
Author = {Mann, B. P. and Khasawneh, F. A. and Fales,
R.},
Title = {Using information to generate derivative coordinates from
noisy time series},
Journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL
SIMULATION},
Volume = {16},
Number = {8},
Pages = {2999-3004},
Year = {2011},
Month = {August},
ISSN = {1007-5704},
url = {http://dx.doi.org/10.1016/j.cnsns.2010.11.011},
Abstract = {This paper describes an approach for recovering a signal,
along with the derivatives of the signal, from a noisy time
series. To mimic an experimental setting, noise was
superimposed onto a deterministic time series. Data
smoothing was then used to successfully recover the
derivative coordinates; however, the appropriate level of
data smoothing must be determined. To investigate the level
of smoothing, an information theoretic is applied to show a
loss of information occurs for increased levels of noise;
conversely, we have shown data smoothing can recover
information by removing noise. An approximate criterion is
then developed to balance the notion of information recovery
through data smoothing with the observation that nearly
negligible information changes occur for a sufficiently
smoothed time series. (C) 2010 Elsevier B.V. All rights
reserved.},
Doi = {10.1016/j.cnsns.2010.11.011},
Key = {ISI:000289601700006}
}
@article{ISI:000292503900004,
Author = {Khasawneh, Firas A. and Mann, Brian P.},
Title = {A spectral element approach for the stability of delay
systems},
Journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN
ENGINEERING},
Volume = {87},
Number = {6},
Pages = {566-592},
Year = {2011},
Month = {August},
ISSN = {0029-5981},
url = {http://dx.doi.org/10.1002/nme.3122},
Abstract = {We describe a spectral element approach to study the
stability and equilibria solutions of Delay differential
equations (DDEs). In contrast to the prototypical temporal
finite element analysis (TFEA), the described spectral
element approach admits spectral rates of convergence and
allows exploiting hp-convergence schemes. The described
approach also avoids the limitations of analytical
integrations in TFEA by using highly accurate numerical
quadratures-enabling the study of more complicated DDEs. The
effectiveness of this new approach is compared with
well-established methods in the literature using various
case studies. Specifically, the stability results are
compared with the conventional TFEA and Legendre collocation
methods whereas the equilibria solutions are compared with
the numerical simulations and the homotopy perturbation
method (HPM) solutions. Our results reveal that the
presented approach can have higher rates of convergence than
both collocation methods and the HPM. Copyright (C) 2011
John Wiley \& Sons, Ltd.},
Doi = {10.1002/nme.3122},
Key = {ISI:000292503900004}
}
@article{ISI:000295998400004,
Author = {Dunnmon, J. A. and Stanton, S. C. and Mann, B. P. and Dowell, E. H.},
Title = {Power extraction from aeroelastic limit cycle
oscillations},
Journal = {JOURNAL OF FLUIDS AND STRUCTURES},
Volume = {27},
Number = {8},
Pages = {1182-1198},
Year = {2011},
Month = {November},
ISSN = {0889-9746},
url = {http://dx.doi.org/10.1016/j.jfluidstructs.2011.02.003},
Abstract = {Nonlinear limit cycle oscillations of an aeroelastic energy
harvester are exploited for enhanced piezoelectric power
generation from aerodynamic flows. Specifically, a flexible
beam with piezoelectric laminates is excited by a uniform
axial flow field in a manner analogous to a flapping flag
such that the system delivers power to an electrical
impedance load. Fluid-structure interaction is modeled by
augmenting a system of nonlinear equations for an
electroelastic beam with a discretized vortex-lattice
potential flow model. Experimental results from a prototype
aeroelastic energy harvester are also presented. Root mean
square electrical power on the order of 2.5 mW was delivered
below the flutter boundary of the test apparatus at a
comparatively low wind speed of 27 m/s and a chord
normalized limit cycle amplitude of 0.33. Moreover,
subcritical limit cycles with chord normalized amplitudes of
up to 0.46 were observed. Calculations indicate that the
system tested here was able to access over 17\% of the flow
energy to which it was exposed. Methods for designing
aeroelastic energy harvesters by exploiting nonlinear
aeroelastic phenomena and potential improvements to existing
relevant aerodynamic models are also discussed. (C) 2011
Elsevier Ltd. All rights reserved.},
Doi = {10.1016/j.jfluidstructs.2011.02.003},
Key = {ISI:000295998400004}
}
@article{ISI:000293829300060,
Author = {Khasawneh, Firas A. and Mann, Brian P.},
Title = {Stability of delay integro-differential equations using a
spectral element method},
Journal = {MATHEMATICAL AND COMPUTER MODELLING},
Volume = {54},
Number = {9-10},
Pages = {2493-2503},
Year = {2011},
Month = {November},
ISSN = {0895-7177},
url = {http://dx.doi.org/10.1016/j.mcm.2011.06.009},
Abstract = {This paper describes a spectral element approach for
studying the stability of delay integro-differential
equations (DIDEs). In contrast to delay differential
equations (DDEs) with discrete delays that act point-wise,
the delays in DIDEs are distributed over a period of time
through an integral term. Although both types of delays lead
to an infinite dimensional state-space, the analysis of DDEs
with distributed delays is far more involved. Nevertheless,
the approach that we describe here is applicable to both
autonomous and non-autonomous DIDEs with smooth bounded
kernel functions. We also describe the stability analysis of
DIDEs with special kernels (gamma-type kernel functions) via
converting the DIDE into a higher order DDE with only
discrete delays. This case of DIDEs is of practical
importance, e.g., in modeling wheel shimmy phenomenon. A set
of case studies are then provided to show the effectiveness
of the proposed approach. (C) 2011 Elsevier Ltd. All rights
reserved.},
Doi = {10.1016/j.mcm.2011.06.009},
Key = {ISI:000293829300060}
}
@article{ISI:000297028800004,
Author = {Butcher, Eric A. and Mann, Brian P.},
Title = {Analytic Bounds for Instability Regions in Periodic Systems
With Delay via Meissner's Equation},
Journal = {JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS},
Volume = {7},
Number = {1},
Year = {2012},
Month = {January},
ISSN = {1555-1423},
url = {http://dx.doi.org/10.1115/1.4004468},
Abstract = {A method for obtaining analytic bounds for period doubling
and cyclic fold instability regions in linear time-periodic
systems with piecewise constant coefficients and time delay
is suggested. The method is based on the use of transition
matrices for Meissner's equation corresponding to the
desired type of instability. Analytic expressions for the
disconnected regions of fold and flip instability for two-
and three-segment coefficients including both complex and
real eigenvalues in Meissner's equation are obtained. The
proposed method when applied to the example of two-segment
interrupted turning with complex eigenvalues in each segment
yields the same results as those obtained recently for the
boundaries of the flip regions (Szalai and Stepan, 2006,
``Lobes and Lenses in the Stability Chart of Interrupted
Turning,{''} J Comput. Nonlinear Dyn., 1, pp. 205-211).
Next, the period-doubling instability regions for a
particular delay differential equation related to the damped
Meissner's equation and the fold instabilities for a model
of delayed position feedback control are analytically
obtained. Finally, we extend the method to a single
degree-of-freedom milling model with a three-piecewise-constant-segment
approximation to the true specific cutting force in which
lower bounds for and horizontal locations of the regions of
flip instability are obtained. The analytic results are
verified through numerical stability charts obtained using
the temporal finite element method. Conditions for the
existence of islands of instability are also obtained.
{[}DOI: 10.1115/1.4004468]},
Doi = {10.1115/1.4004468},
Key = {ISI:000297028800004}
}
%% Papers Accepted
@article{fds71244,
Author = {Kurdi, M.H. and Haftka, R.T. and Schmitz, T.L. and Mann, B.P},
Title = {Milling optimization of removal rate and accuracy with
uncertainty - Part 1: Parameter Selection},
Journal = {International Journal of Materials Product and
Technology},
Year = {2007},
Key = {fds71244}
}
@article{fds71245,
Author = {Kurdi, M.H. and Haftka, R.T. and Schmitz, T.L. and Mann, B.P.},
Title = {Milling optimization of removal rate and accuracy with
uncertainty - Part 1: Parameter Selection},
Journal = {International Journal of Materials Product and
Technology},
Year = {2007},
Key = {fds71245}
}
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