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Books
- Virgin, LN, Introduction to experimental nonlinear dynamics: A case study in mechanical vibration
(January, 2019),
pp. 1-256, Cambridge University Press, ISBN 9780521662864 [doi] [abs]
- Wagg, D; Virgin, L, Exploiting Nonlinear Behavior in Structural Dynamics
(April, 2012),
pp. 280 pages, SPRINGER, ISBN 3709111862 [abs]
- Virgin, L; Wagg, D, Preface, vol. 536
(January, 2012)
- Virgin, LN, Vibration of axially loaded structures
(January, 2007),
pp. 1-359, Cambridge University Press, ISBN 9780521880428 [doi] [abs]
- L.N. Virgin, Introduction to Experimental Nonlinear Dynamics
(2000), Cambridge University Press
Papers Published
- Xu, Y; Virgin, LN, Force probing to access potential energy,
Conference Proceedings of the Society for Experimental Mechanics Series
(January, 2021),
pp. 55-57, ISBN 9783030476250 [doi] [abs]
- Xu, Y; Virgin, LN; Wiebe, R, Inferring unstable equilibrium configurations from observed dynamics,
Conference Proceedings of the Society for Experimental Mechanics Series
(January, 2021),
pp. 199-201, ISBN 9783030476250 [doi] [abs]
- Virgin, LN; Susan Guan, Y; Plaut, RH, Curved structures that can elastically snap-through,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1
(January, 2019),
pp. 275-277, ISBN 9783319742793 [doi] [abs]
- Knight, JD; Virgin, LN; Plaut, RH, Predicting Critical Speeds in Rotordynamics: A New Method,
Journal of Physics: Conference Series, vol. 744 no. 1
(October, 2016),
pp. 012155-012155, IOP Publishing [doi] [abs]
- Virgin, LN; Wiebe, R; Spottswood, SM; Beberniss, T, Inferring unstable equilibrium configurations from experimental data,
Journal of Physics: Conference Series, vol. 744 no. 1
(October, 2016),
pp. 012090-012090, IOP Publishing [doi] [abs]
- Virgin, LN; Plaut, RH; Cartee, EV, The effect of gravity on a slender loop structure,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1
(January, 2016),
pp. 185-190, Springer International Publishing, ISBN 9783319152202 [doi] [abs]
- Detroux, T; Noël, JP; Kerschen, G; Virgin, LN, Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1
(January, 2016),
pp. 229-235, Springer International Publishing, ISBN 9783319297385 [doi] [abs]
- Nöel, JP; Detroux, T; Masset, L; Kerschen, G; Virgin, LN, Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system,
Proceedings of the Asme Design Engineering Technical Conference, vol. 6
(January, 2015), ASME, ISBN 9780791857168 [doi] [abs]
- Virgin, LN; Waite, JJ; Wiebe, R, Co-existing responses in a harmonically-excited nonlinear structural system,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2
(January, 2014),
pp. 1-9, Springer International Publishing, ISSN 2191-5644, ISBN 9783319045214 [doi] [abs]
- Virgin, LN; Plaut, RH, Some non-smooth dynamical systems in offshore mechanics,
Lecture Notes in Applied and Computational Mechanics, vol. 44
(December, 2009),
pp. 259-268, Springer Berlin Heidelberg, ISSN 1613-7736, ISBN 9783642006289 [Gateway.cgi], [doi]
- Santillan, ST; Virgin, LN; Plaut, RH, Nonlinear two-dimensional elastica analysis of subsea risers,
7th European Conference on Structural Dynamics, Eurodyn 2008
(January, 2008), ISBN 9780854328826 [abs]
- Todd, MD; Nichols, J; Seaver, M; Trickey, S; Virgin, L; Pecora, L; Carroll, T, Development and application of chaotic attractor property analysis for vibration-based structural damage assessment,
Aip Conference Proceedings, vol. 676
(August, 2003),
pp. 315-326, ISBN 0735401454 [doi] [abs]
- Nichols, JM; Moniz, L; Todd, MD; Trickey, ST; Seaver, M; Nichols, CJ; Virgin, LN, Detection of fastener preload loss in a hybrid composite-to-metal bolted joint,
Structural Health Monitoring 2003: From Diagnostics and Prognostics to Structural Health Management Proceedings of the 4th International Workshop on Structural Health Monitoring, Iwshm 2003
(January, 2003),
pp. 623-633, ISBN 1932078207 [abs]
- VIRGIN, L; TRICKEY, S; DOWELL, E, STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL,
Proceedings of the 5th Experimental Chaos Conference
(April, 2001),
pp. 335-344, World Scientific, ISBN 9789810245610 [Gateway.cgi], [doi]
- Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry,
19th Aiaa Applied Aerodynamics Conference
(January, 2001) [doi] [abs]
- Virgin, LN; Begley, CJ, Nonlinear features in the dynamics of an impact-friction oscillator, edited by Broomhead, DS; Luchinskaya, EA; McClintock, PVE; Mullin, T,
Aip Conference Proceedings, vol. 502
(January, 2000),
pp. 469-475, AMER INST PHYSICS, ISSN 0094-243X, ISBN 1-56396-915-7 [Gateway.cgi]
- Trickey, ST; Virgin, LN; Dowell, EH, Characterizing stability of responses in a nonlinear aeroelastic system,
41st Structures, Structural Dynamics, and Materials Conference and Exhibit
(January, 2000) [doi] [abs]
- Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, Nonlinear aeroelasticity of an airfoil with control surface freeplay,
35th Aerospace Sciences Meeting and Exhibit
(January, 1997), ISBN 9780000000002 [abs]
- Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, Nonlinear aeroelasticity of an airfoil with control surface freeplay,
35th Aerospace Sciences Meeting and Exhibit
(January, 1997) [abs]
- Murphy, KD; Virgin, LN; Rizzi, SA, An experimental study of the forced response of pre- And post-critical plates,
Proceedings of the Asme Design Engineering Technical Conference, vol. 3A-1995
(January, 1995),
pp. 695-701, ISBN 9780791817186 [doi] [abs]
- Fielder, WT; Virgin, LN; Plaut, RH, Experiments on a rocking block,
Proceedings of the Asme Design Engineering Technical Conference, vol. 3A-1995
(January, 1995),
pp. 781-786, ISBN 9780791817186 [doi] [abs]
- MURPHY, KD; VIRGIN, LN; RIZZI, SA, FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS, edited by Ferguson, NS; Wolfe, HF; Mei, C,
Structural Dynamics: Recent Advances Proceedings of the 5th International Conference, Vols I and Ii
(January, 1994),
pp. 401-411, INST SOUND VIBRATION RESEARCH [Gateway.cgi]
- BAYLY, PV; VIRGIN, LN; GOTTWALD, JA; DOWELL, EH, STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY, edited by Thompson, JMT; Bishop, SR,
Nonlinearity and Chaos in Engineering Dynamics
(January, 1994),
pp. 59-70, JOHN WILEY & SONS LTD, ISBN 0-471-94458-0 [Gateway.cgi]
- Bayly, PV; Virgin, LN, On the stability of forced radial oscillations of an experimental spring pendulum,
Proceedings of the Asme Design Engineering Technical Conference, vol. Part F167972-5
(January, 1993),
pp. 229-236, ISBN 9780791811733 [doi] [abs]
Papers Published
- Virgin, LN; Harvey, PS, A lateral–torsional buckling demonstration model using 3D printing,
Engineering Structures, vol. 280
(April, 2023) [doi] [abs]
- Cooley, SA; Yang, H; Virgin, LN, 3D-printing and cylinder buckling: challenges and opportunities.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 381 no. 2244
(April, 2023),
pp. 20220035 [doi] [abs]
- Virgin, LN, On the elastic snapping of structural elements,
International Journal of Non Linear Mechanics, vol. 149
(March, 2023) [doi] [abs]
- Cervi, C; Santillan, ST; Virgin, LN, Interrogating the Configuration Space of Postbuckled Beams,
Journal of Engineering Mechanics, vol. 149 no. 3
(March, 2023) [doi] [abs]
- Virgin, LN, A shear center demonstration model using 3D-printing,
International Journal of Mechanical Engineering Education, vol. 50 no. 3
(July, 2022),
pp. 739-748 [doi] [abs]
- Virgin, LN, Interrogating the Lead-Up to a Critical Speed in Rotordynamics,
Journal of Vibration and Acoustics, vol. 144 no. 3
(June, 2022) [doi] [abs]
- Virgin, LN; Holland, DB, Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers,
Mechanical Systems and Signal Processing, vol. 164
(February, 2022) [doi] [abs]
- Virgin, LN, A note on lumped parameter modeling,
Mechanics Research Communications, vol. 116
(September, 2021) [doi] [abs]
- Virgin, L, Simultaneous buckling, contact, and load-carrying capacity,
Journal of Engineering Mechanics, vol. 147 no. 5
(May, 2021) [doi] [abs]
- Virgin, LN; Plaut, RH, Large deflections of folded cantilever: Experiments and elastica analysis,
International Journal of Non Linear Mechanics, vol. 129
(March, 2021) [doi] [abs]
- Guan, Y; Virgin, LN, A Pyramidal Lattice Frame: Pathways to Inversion,
International Journal of Structural Stability and Dynamics, vol. 21 no. 2
(February, 2021) [doi] [abs]
- Ehrhardt, D; Virgin, LN; Spottswood, SM, Experiments on probing the configuration space of post-buckled panels,
Journal of Applied Mechanics, vol. 87 no. 12
(December, 2020) [doi] [abs]
- Virgin, LN, Comparative structural stiffness: Exploiting 3D-printing,
American Journal of Physics, vol. 88 no. 12
(December, 2020),
pp. 1049-1058 [doi] [abs]
- Guan, Y; Virgin, LN, Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study,
International Journal of Bifurcation and Chaos, vol. 30 no. 9
(July, 2020) [doi] [abs]
- Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible.,
In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987), vol. II, J.S. Chung; S. Berg; S.K. Chakrabart
(January, 2020) [abs]
- Thompson, JMT; Virgin, LN, Instabilities of nonconservative fluid-loaded systems,
International Journal of Bifurcation and Chaos, vol. 29 no. 14
(December, 2019) [doi] [abs]
- Xu, Y; Virgin, LN, Probing the force field to identify potential energy,
Journal of Applied Mechanics, vol. 86 no. 10
(October, 2019) [doi] [abs]
- Maki, A; Virgin, LN; Umeda, N; Ueta, T; Miino, Y; Sakai, M; Kawakami, H, On the loss of stability of periodic oscillations and its relevance to ship capsize,
Journal of Marine Science and Technology (Japan), vol. 24 no. 3
(September, 2019),
pp. 846-854, Springer Nature America, Inc [doi] [abs]
- Xu, Y; Virgin, LN; Ross, SD, On experimentally locating saddle-points on a potential energy surface from observed dynamics,
Mechanical Systems and Signal Processing, vol. 130
(September, 2019),
pp. 152-163 [doi] [abs]
- Harvey, PS; Virgin, LN; Tehrani, MH, Buckling of elastic columns with second-mode imperfections,
Meccanica, vol. 54 no. 8
(June, 2019),
pp. 1245-1255 [doi] [abs]
- Ehrhardt, DA; Virgin, LN, Experiments on the thermal post-buckling of panels, including localized heating,
Journal of Sound and Vibration, vol. 439
(January, 2019),
pp. 300-309, Elsevier BV [doi] [abs]
- Guan, Y; Virgin, LN; Helm, D, Structural behavior of shallow geodesic lattice domes,
International Journal of Solids and Structures, vol. 155
(December, 2018),
pp. 225-239, Elsevier BV [doi] [abs]
- Zhong, J; Virgin, LN; Ross, SD, A tube dynamics perspective governing stability transitions: An example based on snap-through buckling,
International Journal of Mechanical Sciences, vol. 149
(December, 2018),
pp. 413-428, Elsevier BV [doi] [abs]
- Ross, SD; Bozorgmagham, AE; Naik, S; Virgin, LN, Experimental validation of phase space conduits of transition between potential wells,
Physical Review. E, vol. 98 no. 5
(November, 2018) [doi] [abs]
- Virgin, LN, Enhancing the teaching of elastic buckling using additive manufacturing,
Engineering Structures, vol. 174
(November, 2018),
pp. 338-345, Elsevier BV [doi] [abs]
- Virgin, L, Tailored Buckling Constrained by Adjacent Members,
Structures, vol. 16
(November, 2018),
pp. 20-26, Elsevier BV [doi] [abs]
- Virgin, LN; Giliberto, JV; Plaut, RH, Deformation and vibration of compressed, nested, elastic rings on rigid base,
Thin Walled Structures, vol. 132
(November, 2018),
pp. 167-175, Elsevier BV [doi] [abs]
- Virgin, LN; Thompson, JMT, Applications of Bifurcation: Nonautonomous Periodically-Excited Systems,
International Journal of Bifurcation and Chaos, vol. 28 no. 11
(October, 2018),
pp. 1830035-1830035, World Scientific Pub Co Pte Lt [doi] [abs]
- Brzeski, P; Virgin, LN, System identification of energy dissipation in a mechanical model undergoing high velocities: An indirect use of perpetual points,
Mechanical Systems and Signal Processing, vol. 108
(August, 2018),
pp. 115-125, Elsevier BV [doi] [abs]
- Virgin, LN, Sympathetic resonance,
American Journal of Physics, vol. 86 no. 6
(June, 2018),
pp. 439-442 [doi] [abs]
- Harvey, PS; Virgin, LN, Effect of stiffener geometry on the response of grid-stiffened panels,
Journal of Engineering Mechanics, vol. 144 no. 2
(February, 2018),
pp. 06017021-06017021, American Society of Civil Engineers (ASCE) [doi] [abs]
- Detroux, T; Noël, J-P; Virgin, LN; Kerschen, G, Experimental study of isolas in nonlinear systems featuring modal interactions.,
Plos One, vol. 13 no. 3
(January, 2018),
pp. e0194452 [doi] [abs]
- Virgin, L, Enhancing the teaching of structural dynamics using additive manufacturing,
Engineering Structures, vol. 152
(December, 2017),
pp. 750-757, Elsevier BV [doi] [abs]
- Brzeski, P; Virgin, LN, Experimental investigation of perpetual points in mechanical systems,
Nonlinear Dynamics, vol. 90 no. 4
(December, 2017),
pp. 2917-2928, Springer Nature [doi] [abs]
- Virgin, L, Enhancing the teaching of linear structural analysis using additive manufacturing,
Engineering Structures, vol. 150
(November, 2017),
pp. 135-142, Elsevier BV [doi] [abs]
- Plaut, RH; Virgin, LN; Knight, JD, Predicting critical speeds in various rotordynamics problems,
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 231 no. 21
(November, 2017),
pp. 3913-3922, SAGE Publications [doi] [abs]
- Plaut, RH; Virgin, LN, Snap-through under unilateral displacement control with constant velocity,
International Journal of Non Linear Mechanics, vol. 94
(September, 2017),
pp. 292-299, Elsevier BV [doi] [abs]
- Plaut, RH; Virgin, LN, Furthest reach of a uniform cantilevered elastica,
Mechanics Research Communications, vol. 83
(July, 2017),
pp. 18-21, Elsevier BV [doi] [abs]
- Virgin, LN; Guan, Y; Plaut, RH, On the geometric conditions for multiple stable equilibria in clamped arches,
International Journal of Non Linear Mechanics, vol. 92
(June, 2017),
pp. 8-14, Elsevier BV [doi] [abs]
- Virgin, L, On the flexural stiffness of 3D printer thermoplastic,
International Journal of Mechanical Engineering Education, vol. 45 no. 1
(January, 2017),
pp. 59-75, SAGE Publications [doi] [abs]
- Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible.,
In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987), vol. II, J.S. Chung; S. Berg; S.K. Chakrabart
(January, 2017) [abs]
- Plaut, RH; Virgin, LN, Equilibria and vibration of a buckled beam with attached masses or spring–mass systems,
Journal of Sound and Vibration, vol. 379
(September, 2016),
pp. 166-176, Elsevier BV [doi] [abs]
- Wiebe, R; Virgin, LN, On the experimental identification of unstable static equilibria.,
Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 472 no. 2190
(June, 2016),
pp. 20160172 [doi] [abs]
- George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a non-smooth system,
International Journal of Non Linear Mechanics, vol. 81
(May, 2016),
pp. 55-64, Elsevier BV [doi] [abs]
- Virgin, LN; Knight, JD; Plaut, RH, A New Method for Predicting Critical Speeds in Rotordynamics,
Journal of Engineering for Gas Turbines and Power, vol. 138 no. 2
(February, 2016),
pp. 022504-022504, ASME International, ISSN 0742-4795 [doi] [abs]
- Virgin, LN; George, C; Kini, A, Experiments on a non-smoothly-forced oscillator,
Physica D: Nonlinear Phenomena, vol. 313
(December, 2015),
pp. 1-10, Elsevier BV, ISSN 0167-2789 [doi] [abs]
- Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Snap-Through Phenomenon and Self-Contact of Spatial Elastica Subjected to Mid-Torque,
International Journal of Applied Mechanics, vol. 7 no. 4
(August, 2015),
pp. 1550057-1550057, World Scientific Pub Co Pte Lt, ISSN 1758-8251 [doi] [abs]
- Virgin, LN; Plaut, RH; Cartee, EV, Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation,
Experimental Mechanics, vol. 55 no. 6
(July, 2015),
pp. 1191-1197, Springer Nature, ISSN 0014-4851 [doi] [abs]
- Virgin, LN, Comment on "mechanical properties of suspended graphene sheets" [J. Vac. Sci. Technol., B 25, 2558 (2007)],
Journal of Vacuum Science & Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phenomena, vol. 33 no. 2
(March, 2015),
pp. 023001-023001, American Vacuum Society, ISSN 2166-2746 [doi]
- Hartzell, S; Bartlett, MS; Virgin, L; Porporato, A, Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.,
Journal of Theoretical Biology, vol. 368
(March, 2015),
pp. 83-94, ISSN 0022-5193 [doi] [abs]
- Harvey, PS; Virgin, LN, Coexisting equilibria and stability of a shallow arch: Unilateral displacement-control experiments and theory,
International Journal of Solids and Structures, vol. 54
(February, 2015),
pp. 1-11, ISSN 0020-7683 [doi] [abs]
- Wiebe, R; Virgin, LN; Spottswood, SM, Stochastic interrogation of competing responses in a nonlinear distributed system,
Nonlinear Dynamics, vol. 79 no. 1
(January, 2015),
pp. 607-615, ISSN 0924-090X [doi] [abs]
- Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations,
Journal of Sound and Vibration, vol. 333 no. 6
(March, 2014),
pp. 1734-1753, ISSN 0022-460X [doi] [abs]
- Plaut, RH; Virgin, LN, Deformation and vibration of upright loops on a foundation and of hanging loops,
International Journal of Solids and Structures, vol. 51 no. 18
(January, 2014),
pp. 3067-3075, ISSN 0020-7683 [doi] [abs]
- Waite, JJ; Virgin, LN; Wiebe, R, Competing responses in a discrete mechanical system,
International Journal of Bifurcation and Chaos, vol. 24 no. 1
(January, 2014),
pp. 1430003-1430003, World Scientific Pub Co Pte Lt, ISSN 0218-1274 [doi] [abs]
- Virgin, LN; Wiebe, R; Spottswood, SM; Eason, TG, Sensitivity in the structural behavior of shallow arches,
International Journal of Non Linear Mechanics, vol. 58
(January, 2014),
pp. 212-221, Elsevier BV, ISSN 0020-7462 [doi] [abs]
- Lyman, TC; Virgin, LN; Davis, RB, Application of continuation methods to uniaxially loaded postbuckled plates,
Journal of Applied Mechanics, vol. 81 no. 3
(January, 2014),
pp. 031010-031010, ASME International, ISSN 0021-8936 [doi] [abs]
- Plaut, RH; Virgin, LN, Deformation and vibration of upright loops on a foundation and of hanging loops,
International Journal of Solids and Structures, vol. 51 no. 18
(2014),
pp. 3067-3075, Elsevier BV, ISSN 0020-7683 [doi]
- Chandra, Y; Wiebe, R; Stanciulescu, I; Virgin, LN; Spottswood, SM; Eason, TG, Characterizing dynamic transitions associated with snap-through of clamped shallow arches,
Journal of Sound and Vibration, vol. 332 no. 22
(October, 2013),
pp. 5837-5855, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Plaut, RH; Virgin, LN, Pendulum models of ponytail motion during walking and running,
Journal of Sound and Vibration, vol. 332 no. 16
(August, 2013),
pp. 3768-3780, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Hunt, G; Virgin, L, Michael Thompson: some personal recollections.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 371 no. 1993
(June, 2013),
pp. 20120449, ISSN 1364-503X [doi]
- Virgin, LN; Wiebe, R, On damping in the vicinity of critical points.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 371 no. 1993
(June, 2013),
pp. 20120426, ISSN 1364-503X [23690637], [doi] [abs]
- Wiebe, R; Virgin, LN; Stanciulescu, I; Spottswood, SM; Eason, TG, Characterizing dynamic transitions associated with snap-through: A discrete system,
Journal of Computational and Nonlinear Dynamics, vol. 8 no. 1
(January, 2013),
pp. 011010-011010, ASME International, ISSN 1555-1423 [Gateway.cgi], [doi] [abs]
- Chandra, Y; Stanciulescu, I; Virgin, LN; Eason, TG; Spottswood, SM, A numerical investigation of snap-through in a shallow arch-like model,
Journal of Sound and Vibration, vol. 332 no. 10
(January, 2013),
pp. 2532-2548, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Wiebe, R; Virgin, LN, A harmonic balance approximation of dynamic snap-through boundaries in a single-degree-of-freedom structure,
Proceedings of the Asme Design Engineering Technical Conference, vol. 7 B
(January, 2013), ASME [doi] [abs]
- Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations,
Journal of Sound and Vibration
(2013), ISSN 0022-460X
- Olson, CC; Nichols, JM; Virgin, LN, Parameter estimation for chaotic systems using a geometric approach: Theory and experiment,
Nonlinear Dynamics, vol. 70 no. 1
(October, 2012),
pp. 381-391, Springer Nature, ISSN 0924-090X [doi] [abs]
- Lyman, TC; Virgin, LN; Davis, RB, Application of continuation methods to nonlinear post-buckled structures,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 3
(June, 2012),
pp. 245-254, Springer New York, ISSN 2191-5644 [doi] [abs]
- Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Stability of spatial elastica in a gravitational field,
International Journal of Structural Stability and Dynamics, vol. 12 no. 2
(March, 2012),
pp. 403-421, World Scientific Pub Co Pte Lt, ISSN 0219-4554 [doi] [abs]
- Wiebe, R; Virgin, LN, A heuristic method for identifying chaos from frequency content.,
Chaos (Woodbury, N.Y.), vol. 22 no. 1
(March, 2012),
pp. 013136, AIP Publishing, ISSN 1054-1500 [22463012], [doi] [abs]
- Wiebe, R; Virgin, LN; Witelski, TP, A parametrically forced nonlinear system with reversible equilibria,
International Journal of Bifurcation and Chaos, vol. 22 no. 6
(January, 2012),
pp. 1230020-1230020, World Scientific Pub Co Pte Lt, ISSN 0218-1274 [doi] [abs]
- Wiebe, R; Virgin, LN; Stanciulescu, I; Spottswood, SM, On snap-through buckling,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference
(December, 2011), American Institute of Aeronautics and Astronautics, ISSN 0273-4508 [doi] [abs]
- Wiebe, R; Virgin, LN, On the identification of chaos from frequency content,
Proceedings of the Asme Design Engineering Technical Conference, vol. 4 no. PARTS A AND B
(December, 2011),
pp. 823-828 [doi] [abs]
- Gao, L; Tahir, MA; Virgin, LN; Yellen, BB, Multiplexing superparamagnetic beads driven by multi-frequency ratchets.,
Lab on a Chip, vol. 11 no. 24
(December, 2011),
pp. 4214-4220 [22038314], [doi] [abs]
- Santillan, ST; Virgin, LN, Numerical and experimental analysis of the static behavior of highly deformed risers,
Ocean Engineering, vol. 38 no. 13
(September, 2011),
pp. 1397-1402, Elsevier BV, ISSN 0029-8018 [doi] [abs]
- Tahir, MA; Gao, L; Virgin, LN; Yellen, BB, Transport of superparamagnetic beads through a two-dimensional potential energy landscape.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 84 no. 1 Pt 1
(July, 2011),
pp. 011403, ISSN 1539-3755 [doi] [abs]
- Srivastava, R; Panovsky, J; Kielb, R; Virgin, L; Ekici, K, Nonlinear flutter in fan stator vanes with time dependent fixity,
Journal of Turbomachinery, vol. 134 no. 2
(June, 2011) [doi] [abs]
- Plaut, RH; Virgin, LN, Optimal design of cantilevered elastica for minimum tip deflection under self-weight,
Structural and Multidisciplinary Optimization, vol. 43 no. 5
(May, 2011),
pp. 657-664, Springer Nature, ISSN 1615-147X [doi] [abs]
- Budd, C; Champneys, A; Lord, G; Virgin, L, Introduction to special issue on reflections in nonlinear mechanics,
Ima Journal of Applied Mathematics, vol. 76 no. 1
(February, 2011),
pp. 1, Oxford University Press (OUP), ISSN 0272-4960 [doi]
- Virgin, LN; Lyman, TC, Structural dynamics of a frame including axial load effects,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 4
(January, 2011),
pp. 119-124, ISSN 2191-5644 [doi] [abs]
- Virgin, LN, A block rocking on a seesawing foundation,
Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2
(January, 2011),
pp. 31-39, ISSN 2191-5644 [doi] [abs]
- Gao, L; Tahir, MA; Virgin, LN; Yellen, BB, Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets,
Lab on a Chip, vol. 11 no. 4214-4220
(2011)
- Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Stability of spatial elastica including weight effects,
International Journal of Structural Stability and Dynamics, vol. 11 no. 6
(2011)
- Srivastava, R; Panovsky, J; Kielb, R; Virgin, LN; Ekici, K, Non-linear flutter in fan stator vanes with time dependent fixity,
Asme Journal of Turbomachinery, vol. 134 no. 021009
(2011),
pp. 1189-1199, AMER SOC MECHANICAL ENGINEERS, ISSN 0889-504X [doi] [abs]
- Tahir, MA; Guo, L; Virgin, LN; Yellen, BB, Transport of superparamagnetic beads through a two-dimensional potential energy landscape,
Physical Review E, vol. 84 no. 011403
(2011),
pp. 011403, ISSN 1539-3755 [21867167], [doi] [abs]
- Srivastava, R; Panovsky, J; Kielb, R; Virgin, L; Ekici, K, Non-linear flutter in fan stator vanes with time dependent fixity,
Proceedings of the Asme Turbo Expo, vol. 6 no. PARTS A AND B
(December, 2010),
pp. 1189-1199, ASME, ISSN 0889-504X [doi] [abs]
- Gao, L; Gottron, NJ; Virgin, LN; Yellen, BB, The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet.,
Lab on a Chip, vol. 10 no. 16
(August, 2010),
pp. 2108-2114, ISSN 1473-0197 [20556295], [doi] [abs]
- Santillan, ST; Virgin, LN; Plaut, RH, Static and dynamic behavior of highly deformed risers and pipelines,
Journal of Offshore Mechanics and Arctic Engineering, vol. 132 no. 2
(May, 2010),
pp. 1-6, ASME International, ISSN 0892-7219 [doi] [abs]
- Virgin, LN; Lyman, TC; Davis, RB, Nonlinear dynamics of a ball rolling on a surface,
American Journal of Physics, vol. 78 no. 3
(March, 2010),
pp. 250-257, American Association of Physics Teachers (AAPT), ISSN 0002-9505 [doi] [abs]
- Plaut, RH; Virgin, LN, Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations,
Structural and Multidisciplinary Optimization, vol. 40 no. 1-6
(January, 2010),
pp. 157-164, Springer Nature, ISSN 1615-147X [doi] [abs]
- Santillan, ST; Virgin, LN; Plaut, RH, Dynamic behavior of highly-deformed risers and pipelines,
Asme Journal of Offshore Mechanics and Arctic Engineering, vol. 132
(2010),
pp. 021401
- Virgin, L; Holland, D, Effect of weight on the experimental modal analysis of slender cantilever beams,
Proceedings of the Asme Design Engineering Technical Conference, vol. 1 no. PARTS A AND B
(December, 2009),
pp. 557-560 [doi] [abs]
- Plaut, RH; Virgin, LN, Vibration and snap-through of bent elastica strips subjected to end rotations,
Journal of Applied Mechanics, vol. 76 no. 4
(December, 2009),
pp. 1-7, ASME International, ISSN 0021-8936 [doi] [abs]
- Yellen, BB; Virgin, LN, Nonlinear dynamics of superparamagnetic beads in a traveling magnetic-field wave.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 80 no. 1 Pt 1
(July, 2009),
pp. 011402, ISSN 1539-3755 [doi] [abs]
- Yellen, B; Virgin, LN, Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave,
Physical Review E, vol. 80 no. 011402
(2009),
pp. 011402, ISSN 1539-3755 [19658704], [doi] [abs]
- Plaut, RH; Virgin, LN, Vibration and snap-through of bent elastica strips subjected to end rotations,
Journal of Applied Mechanics, vol. 76 no. 041011
(2009),
pp. 1-7, ISSN 0021-8936 [doi] [abs]
- Santillan, ST; Plaut, RH; Witelski, TP; Virgin, LN, Large oscillations of beams and columns including self-weight,
International Journal of Non Linear Mechanics, vol. 43 no. 8
(October, 2008),
pp. 761-771, Elsevier BV, ISSN 0020-7462 [doi] [abs]
- Virgin, LN; Santillan, ST; Plaut, RH, Vibration isolation using extreme geometric nonlinearity,
Journal of Sound and Vibration, vol. 315 no. 3
(August, 2008),
pp. 721-731, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Holland, D; Virgin, L, Experimental modal analysis of solar sail booms,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference
(July, 2008), ISSN 0273-4508 [abs]
- Virgin, LN; Dowell, EH; Flowers, G, Nonlinear Vibration
(April, 2008),
pp. 255-267, JOHN WILEY & SONS INC [doi]
- Davis, RB; Virgin, LN; Brown, AM, Cylindrical shell submerged in bounded acoustic media: A modal approach,
Aiaa Journal, vol. 46 no. 3
(March, 2008),
pp. 752-763, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0001-1452 [doi] [abs]
- Holland, DB; Virgin, LN; Plaut, RH, Large deflections and vibration of a tapered cantilever pulled at its tip by a cable,
Journal of Sound and Vibration, vol. 310 no. 1-2
(February, 2008),
pp. 433-441, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Jeffers, AE; Plaut, RH; Virgin, LN, Vibration isolation using buckled or pre-bent columns-Part 2: Three-dimensional motions of horizontal rigid plate,
Journal of Sound and Vibration, vol. 310 no. 1-2
(February, 2008),
pp. 421-432, Elsevier BV, ISSN 0022-460X [doi] [abs]
- Plaut, RH; Favor, HM; Jeffers, AE; Virgin, LN, Vibration isolation using buckled or pre-bent columns-Part 1: Two-dimensional motions of horizontal rigid bar,
Journal of Sound and Vibration, vol. 310 no. 1-2
(February, 2008),
pp. 409-420, Elsevier BV, ISSN 0022-460X [doi] [abs]
- L.N. Virgin, S.T. Santillan and R.H. Plaut, Vibration isolation using extreme geometric nonlinearity,
Journal of Sound and Vibration, vol. 315
(2008),
pp. 721-731
- Santillan, ST; Virgin, LN; Plaut, RH, Static and dynamic behavior of highly-deformed risers and pipelines,
Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering Omae, vol. 3
(December, 2007),
pp. 143-149, ASME [doi] [abs]
- Virgin, LN; Nichols, JM, An experimental nonlinear oscillator subject to two-frequency excitation,
Conference Proceedings of the Society for Experimental Mechanics Series
(December, 2007), ISSN 2191-5644 [abs]
- Davis, RB; Virgin, LN, Non-linear behavior in a discretely forced oscillator,
International Journal of Non Linear Mechanics, vol. 42 no. 5
(June, 2007),
pp. 744-753, Elsevier BV, ISSN 0020-7462 [doi] [abs]
- Virgin, LN; Santillan, ST; Holland, DB, Effect of gravity on the vibration of vertical cantilevers,
Mechanics Research Communications, vol. 34 no. 3
(April, 2007),
pp. 312-317, Elsevier BV, ISSN 0093-6413 [doi] [abs]
- Todd, MD; Nichols, JM; Trickey, ST; Seaver, M; Nichols, CJ; Virgin, LN, Bragg grating-based fibre optic sensors in structural health monitoring.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 365 no. 1851
(February, 2007),
pp. 317-343, ISSN 1364-503X [doi] [abs]
- Stanciulescu, I; Virgin, LN; Laursen, TA, Slender solar sail booms: Finite element analysis,
Journal of Spacecraft and Rockets, vol. 44 no. 3
(January, 2007),
pp. 528-537, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0022-4650 [doi] [abs]
- Davis, RB; Virgin, LN; Brown, AM, Cylindrical shell submerged in bounded acoustic media: A modal approach,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 5
(January, 2007),
pp. 4871-4887 [doi] [abs]
- Stanciulescu, I; Virgin, LN; Laursen, TA, Finite element analysis of a slender isogrid structure,
Journal of Spacecraft and Rockets, vol. 44
(2007),
pp. 529-537
- Holland, DB; Stanciulescu, I; Virgin, LN; Plaut, RH, Vibration and large deflection of cantilevered elastica compressed by angled cable,
Aiaa Journal, vol. 44 no. 7
(July, 2006),
pp. 1468-1476, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0001-1452 [doi] [abs]
- Santillan, ST; Virgin, LN; Plaut, RH, Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation,
Journal of Applied Mechanics, vol. 73 no. 4
(July, 2006),
pp. 664-671, ASME International, ISSN 0021-8936 [1.2165237], [doi] [abs]
- Chen, H; Virgin, LN, Finite element analysis of post-buckling dynamics in plates. Part II: A non-stationary analysis,
International Journal of Solids and Structures, vol. 43 no. 13
(June, 2006),
pp. 4008-4027, Elsevier BV, ISSN 0020-7683 [037], [doi] [abs]
- Chen, H; Virgin, LN, Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach,
International Journal of Solids and Structures, vol. 43 no. 13
(June, 2006),
pp. 3983-4007, Elsevier BV, ISSN 0020-7683 [036], [doi] [abs]
- Virgin, LN, A reflection on nonlinear oscillations, dynamical systems, and bifurcations of vector fields,
Journal of Computational and Nonlinear Dynamics, vol. 1 no. 4
(January, 2006),
pp. 277-278, ASME International, ISSN 1555-1423 [Gateway.cgi], [doi]
- S. Santillan, L.N. Virgin and R.H. Plaut, Postbuckling and vibration of heavy beam on horizontal or inclined rigid foundation’,
Journal of Applied Mechanics, vol. 73
(2006),
pp. 664-671
- Plaut, RH; Dillard, DA; Virgin, LN, Postbuckling of elastic columns with second-mode imperfection,
Journal of Engineering Mechanics, vol. 132 no. 8
(2006),
pp. 898-901, American Society of Civil Engineers (ASCE), ISSN 0733-9399 [(ASCE)0733-9399(2006)132:8(898)], [doi] [abs]
- Holland, DB; Stanciulescu, I; Virgin, LN; Plaut, RH, Vibration and large deflection of a beam-cable system,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 3
(December, 2005),
pp. 2130-2142, ISSN 0273-4508 [abs]
- Santillan, S; Virgin, LN; Plaut, RH, Equilibria and vibration of a heavy pinched loop,
Journal of Sound and Vibration, vol. 288 no. 1-2
(November, 2005),
pp. 81-90, Elsevier BV [016], [doi] [abs]
- Xie, J; Ding, W; Dowell, EH; Virgin, LN, Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems,
Acta Mechanica Sinica, vol. 21 no. 4
(August, 2005),
pp. 402-410, Springer Nature, ISSN 0567-7718 [doi] [abs]
- Plaut, RH; Sidbury, JE; Virgin, LN, Analysis of buckled and pre-bent fixed-end columns used as vibration isolators,
Journal of Sound and Vibration, vol. 283 no. 3-5
(May, 2005),
pp. 1216-1228, ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, ISSN 0022-460X [Gateway.cgi], [doi] [abs]
- Moniz, L; Nichols, JM; Nichols, CJ; Seaver, M; Trickey, ST; Todd, MD; Pecora, LM; Virgin, LN, A multivariate, attractor-based approach to structural health monitoring,
Journal of Sound and Vibration, vol. 283 no. 1-2
(May, 2005),
pp. 295-310, Elsevier BV [016], [doi] [abs]
- Stanciulescu, I; Virgin, LN; Laursen, TA, Finite element analysis of slender solar sail booms,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 3
(January, 2005),
pp. 2121-2129, ISSN 0273-4508 [doi]
- Plaut, RH; Alloway, LA; Virgin, LN, Nonlinear oscillations of a buckled mechanism used as a vibration isolator,
Solid Mechanics and Its Applications, vol. 122
(January, 2005),
pp. 241-250, ISSN 0925-0042 [doi] [abs]
- Chen, H; Virgin, LN, Dynamic analysis of modal shifting and mode jumping in thermally buckled plates,
Journal of Sound and Vibration, vol. 278 no. 1-2
(November, 2004),
pp. 233-256, Elsevier BV, ISSN 0022-460X [054], [doi] [abs]
- Todd, MD; Nichols, JM; Nichols, CJ; Virgin, LN, An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment,
Journal of Sound and Vibration, vol. 275 no. 3-5
(August, 2004),
pp. 1113-1126, Elsevier BV, ISSN 0022-460X [037], [doi] [abs]
- Piiroinen, PT; Virgin, LN; Champneys, AR, Chaos and period-adding; experimental and numerical verification of the grazing bifurcation,
Journal of Nonlinear Science, vol. 14 no. 4
(August, 2004),
pp. 383-404, Springer Nature, ISSN 0938-8974 [s00332-004-0616-y], [doi] [abs]
- Nichols, JM; Nichols, CJ; Todd, MD; Seaver, M; Trickey, ST; Virgin, LN, Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam,
Smart Materials and Structures, vol. 13 no. 2
(April, 2004),
pp. 241-250, IOP Publishing [001], [doi] [abs]
- Plaut, RH; Virgin, LN, Three-dimensional postbuckling and vibration of vertical half-loop under self-weight,
International Journal of Solids and Structures, vol. 41 no. 18-19
(January, 2004),
pp. 4975-4988, Elsevier BV [014], [doi] [abs]
- Virgin, LN; Plaut, RH, Postbuckling and vibration of linearly elastic and softening columns under self-weight,
International Journal of Solids and Structures, vol. 41 no. 18-19
(January, 2004),
pp. 4989-5001, Elsevier BV [023], [doi] [abs]
- Holland, DB; Virgin, LN; Belvin, WK, Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects,
44th Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics, and Materials Conference
(December, 2003) [abs]
- Nichols, JM; Trickey, ST; Todd, MD; Virgin, LN, Structural health monitoring through chaotic interrogation,
Meccanica, vol. 38 no. 2
(April, 2003),
pp. 239-250 [A:1022898403359], [doi] [abs]
- Virgin, LN; Davis, RB, Vibration isolation using buckled struts [3],
Journal of Sound and Vibration, vol. 260 no. 5
(March, 2003),
pp. 965-973, Elsevier BV [S0022-460X(02)01177-X], [doi] [abs]
- Nichols, JM; Todd, MD; Seaver, M; Virgin, LN, Use of chaotic excitation and attractor property analysis in structural health monitoring,
Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 2
(January, 2003),
pp. 162091-162098 [abs]
- Holland, DB; Virgin, LN; Belvin, WK, Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 5
(January, 2003),
pp. 3192-3198 [doi] [abs]
- Nichols, JM; Virgin, LN, System identification through chaotic interrogation,
Mechanical Systems and Signal Processing, vol. 17 no. 4
(January, 2003),
pp. 871-881, Elsevier BV [1471], [doi] [abs]
- Nichols, JM; Todd, MD; Seaver, M; Virgin, LN, Use of chaotic excitation and attractor property analysis in structural health monitoring.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 Pt 2
(January, 2003),
pp. 016209, ISSN 1539-3755 [Gateway.cgi], [doi] [abs]
- Virgin, LN; Nichols, JM; Trickey, ST, A note on the response spectrum map,
International Journal of Bifurcation and Chaos, vol. 13 no. 5
(January, 2003),
pp. 1337-1341, World Scientific Pub Co Pte Lt [S0218127403007278], [doi] [abs]
- Nichols, JM; Virgin, LN; Todd, MD; Nichols, JD, On the use of attractor dimension as a feature in structural health monitoring,
Mechanical Systems and Signal Processing, vol. 17 no. 6
(January, 2003),
pp. 1305-1320, Elsevier BV [1521], [doi] [abs]
- Nichols, J.M. and Virgin, L.N., System identification through chaotic interrogation,
Mech. Syst. Signal Process. (UK), vol. 17 no. 4
(2003),
pp. 871 - 81 [1471] [abs]
- Trickley, ST; Virgin, LN; Dowell, EH, The stability of limit-cycle oscillations in a nonlinear aeroelastic system,
Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 458 no. 2025
(September, 2002),
pp. 2203-2226, The Royal Society, ISSN 1364-5021 [0965], [doi] [abs]
- Virgin, LN; Plaut, RH, Use of frequency data to predict secondary bifurcation,
Journal of Sound and Vibration, vol. 251 no. 5
(April, 2002),
pp. 919-926, Elsevier BV, ISSN 0022-460X [3906], [doi]
- Holland, DB; Virgin, LN; Tinker, ML; Slade, KN, Geometric scaling properties of inflatable structures for use in space solar power generation,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 1
(January, 2002),
pp. 507-516 [doi] [abs]
- Todd, M; Seaver, M; Trickey, S; Nichols, J; Virgin, L, The use of a high-performance fiber optic measurement system in structural damage assessment,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 4753 I
(January, 2002),
pp. 167-173 [abs]
- Todd, M; Trickey, S; Seaver, M; Nichols, J; Virgin, L, Structural damage assessment using chaotic dynamic interrogation,
Asme International Mechanical Engineering Congress and Exposition, Proceedings
(January, 2002),
pp. 613-620, ASME [doi] [abs]
- Todd, M; Trickey, S; Seaver, M; Nichols, J; Virgin, L, Structural damage assessment using chaotic dynamic interrogation,
American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) Dsc, vol. 71
(2002),
pp. 613-620 [doi] [abs]
- Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry,
19th Aiaa Applied Aerodynamics Conference, vol. 3
(December, 2001),
pp. 1720-1728 [abs]
- Virgin, LN; Nichols, JM; Simmons, WN; Plaut, RH, On the response of a shaken cable-suspended mass,
Proceedings of the Asme Design Engineering Technical Conference, vol. 6 B
(December, 2001),
pp. 2109-2113 [abs]
- Virgin, LN; Aldemir, U; Gavin, HP; Nichols, JM; Plaut, RH, An investigation of a rocking-sliding block,
Proceedings of the Asme Design Engineering Technical Conference, vol. 6 B
(December, 2001),
pp. 1279-1283 [abs]
- Nichols, JM; Virgin, LN; Gavin, HP, Damping estimates from experimental non-linear time-series,
Journal of Sound and Vibration, vol. 246 no. 5
(October, 2001),
pp. 815-827, Elsevier BV, ISSN 0022-460X [3653], [doi] [abs]
- Todd, MD; Nichols, JM; Pecora, LM; Virgin, LN, Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio,
Smart Materials and Structures, vol. 10 no. 5
(October, 2001),
pp. 1000-1008, IOP Publishing, ISSN 0964-1726 [316], [doi] [abs]
- Nichols, JM; Virgin, LN, Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator,
Nonlinear Dynamics, vol. 26 no. 1
(September, 2001),
pp. 67-86, ISSN 0924-090X [A:1012923517945], [doi] [abs]
- Nichols, JM; Todd, MD; Virgin, LN; Pecora, LM, Vibration-based damage assessment using local attractor variance,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 4330 no. 1
(July, 2001),
pp. 128-136, SPIE [doi] [abs]
- Donescu, P; Virgin, LN, An implicit boundary element solution with consistent linearization for free surface flows and non-linear fluid-structure interaction of floating bodies,
International Journal for Numerical Methods in Engineering, vol. 51 no. 4
(June, 2001),
pp. 379-412, WILEY, ISSN 0029-5981 [141], [doi] [abs]
- Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 3
(January, 2001),
pp. 1720-1728 [abs]
- Todd, MD; Nichols, JM; Pecora, LM; Virgin, LN, Novel nonlinear feature identification in vibration-based damage detection using local attractor variance,
Proceedings of the International Modal Analysis Conference Imac, vol. 1
(January, 2001),
pp. 438-444 [abs]
- Begley, CJ; Virgin, LN, On the OGY control of an impact-friction oscillator,
Journal of Vibration and Control, vol. 7 no. 6
(January, 2001),
pp. 923-931, SAGE Publications [doi] [abs]
- Trickey, ST; Virgin, LN; Dowell, EH, Characterizing stability of responses in a nonlinear aeroelastic system,
41st Structures, Structural Dynamics, and Materials Conference and Exhibit, vol. 1 no. I
(December, 2000),
pp. 57-62 [abs]
- Trickey, ST; Virgin, LN; Dowell, EH, Characterizing stability of responses in a nonlinear aeroelastic system,
Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 1 no. I
(January, 2000),
pp. 57-62 [abs]
- Virgin, LN; Dowell, EH; Conner, MD, On the evolution of deterministic non-periodic behavior of an airfoil,
International Journal of Non Linear Mechanics, vol. 34 no. 3
(January, 1999),
pp. 499-514, Elsevier BV, ISSN 0020-7462 [S0020-7462(98)00038-9], [doi] [abs]
- Virgin, LN; Begley, CJ, Grazing bifurcations and basins of attraction in an impact-friction oscillator,
Physica D: Nonlinear Phenomena, vol. 130 no. 1-2
(1999),
pp. 43-57, Elsevier BV, ISSN 0167-2789 [Gateway.cgi], [doi] [abs]
- Trickey, ST; Virgin, LN, Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator,
Physics Letters A, vol. 248 no. 2-4
(November, 1998),
pp. 185-190, Elsevier BV [S0375-9601(98)00665-3], [doi] [abs]
- Hu, HY; Dowell, EH; Virgin, LN, Stability estimation of high dimensional vibrating systems under state delay feedback control,
Journal of Sound and Vibration, vol. 214 no. 3
(July, 1998),
pp. 497-511, Elsevier BV [1548], [doi] [abs]
- Begley, CJ; Virgin, LN, Impact response and the influence of friction,
Journal of Sound and Vibration, vol. 211 no. 5
(April, 1998),
pp. 801-818, Elsevier BV, ISSN 0022-460X [1389], [doi] [abs]
- Hu, H; Dowell, EH; Virgin, LN, Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback,
Nonlinear Dynamics, vol. 15 no. 4
(January, 1998),
pp. 311-327 [A:1008278526811], [doi] [abs]
- Tang, D; Dowell, EH; Virgin, LN, Limit cycle behavior of an airfoil with a control surface,
Journal of Fluids and Structures, vol. 12 no. 7
(January, 1998),
pp. 839-858, Elsevier BV [0174], [doi] [abs]
- Virgin, LN; Todd, MD; Begley, CJ; Trickey, ST; Dowell, EH, Basins of attraction in experimental nonlinear oscillators,
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 8 no. 3
(1998),
pp. 521-533, World Scientific Pub Co Pte Lt [S0218127498000334], [doi] [abs]
- Begley, CJ; Virgin, LN, A detailed study of the low-frequency periodic beliavior of a dry friction oscillator,
Journal of Dynamic Systems, Measurement, and Control, vol. 119 no. 3
(January, 1997),
pp. 491-497, ASME International [doi] [abs]
- Slade, KN; Virgin, LN; Bayly, PV, Extracting information from interimpact intervals in a mechanical oscillator,
Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 55 no. 3
(January, 1997),
pp. 3705-3707 [3705], [doi] [abs]
- Fielder, WT; Virgin, LN; Plaut, RH, Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation,
European Journal of Mechanics A/Solids, vol. 16 no. 5
(January, 1997),
pp. 905-923 [abs]
- Todd, MD; Virgin, LN, An experimental verification of basin metamorphoses in a nonlinear mechanical system,
International Journal of Bifurcation and Chaos, vol. 7 no. 6
(January, 1997),
pp. 1337-1357, World Scientific Pub Co Pte Lt [S0218127497001060], [doi] [abs]
- Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, Nonlinear behavior of a typical airfoil section with control surface freeplay: A numerical and experimental study,
Journal of Fluids and Structures, vol. 11 no. 1
(January, 1997),
pp. 89-109, Elsevier BV [0068], [doi] [abs]
- Todd, MD; Virgin, LN, An experimental impact oscillator,
Chaos, Solitons & Fractals, vol. 8 no. 4 SPEC. ISS.
(January, 1997),
pp. 699-714 [doi] [abs]
- Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., Effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: Theory and experiment,
Journal of Vibration and Acoustics, Transactions of the ASME, vol. 119 no. 2
(1997),
pp. 243 - 249 [abs]
- Murphy, KD; Virgin, LN; Rizzi, SA, The effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: theory and experiment,
Trans. Asme. J. Vib. Acoust. (Usa), vol. 119 no. 2
(1997),
pp. 243-249, ASME International [doi] [abs]
- Donescu, P; Virgin, LN, Free surface flow computation using a fully consistent method,
American Society of Mechanical Engineers, Fluids Engineering Division (Publication) Fed, vol. 238
(December, 1996),
pp. 421-426 [abs]
- Slade, KN; Virgin, LN, Monitoring the behavior of an experimental impacting system,
American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 90
(December, 1996),
pp. 75-84 [abs]
- Todd, MD; Virgin, LN, Natural frequency considerations of an impact oscillator,
Journal of Sound and Vibration, vol. 194 no. 3
(July, 1996),
pp. 452-460, Elsevier BV [0370], [doi] [abs]
- Donescu, P; Virgin, LN; Wu, JJ, Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics,
Journal of Sound and Vibration, vol. 192 no. 5
(May, 1996),
pp. 959-976, Elsevier BV [0228], [doi] [abs]
- Virgin, LN; Fielder, WT; Plaut, RH, Transient motion and overturning of a rocking block on a seesawing foundation,
Journal of Sound and Vibration, vol. 191 no. 1
(March, 1996),
pp. 177-187, Elsevier BV [0114], [doi] [abs]
- Conner, MD; Virgin, LN; Dowell, EH, Accurate numerical integration of state-space models for aeroelastic systems with free play,
Aiaa Journal, vol. 34 no. 10
(January, 1996),
pp. 2202-2205, American Institute of Aeronautics and Astronautics (AIAA) [doi]
- Conner, MD; Donescu, P; Virgin, LN, On the global convergence characteristics of numerically evaluated jacobian matrices: Technical note,
Nonlinear Dynamics, vol. 10 no. 2
(January, 1996),
pp. 165-174, Springer Nature America, Inc [doi] [abs]
- Donescu, P; Virgin, LN, Efficient determination of higher-order periodic solutions using n-mode harmonic balance,
Ima Journal of Applied Mathematics, vol. 56 no. 1
(January, 1996),
pp. 21-32, Oxford University Press (OUP) [doi] [abs]
- Todd, MD; Virgin, LN; Gottwald, JA, The nonstationary transition through resonance,
Nonlinear Dynamics, vol. 10 no. 1
(January, 1996),
pp. 31-48, Springer Nature [doi] [abs]
- Plaut, RH; Fielder, WT; Virgin, LN, Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation,
Chaos, Solitons & Fractals, vol. 7 no. 2
(January, 1996),
pp. 177-196, Elsevier BV [0960-0779(95)00059-3], [doi] [abs]
- Todd, M.D. and Virgin, L.N., Natural frequency considerations of an impact oscillator,
J. Sound Vib. (UK), vol. 194 no. 3
(1996),
pp. 452 - 60 [0370] [abs]
- Murphy, KD; Virgin, LN; Rizzi, SA, Characterizing the dynamic response of a thermally loaded, acoustically excited plate,
Journal of Sound and Vibration, vol. 196 no. 5
(1996),
pp. 635-658, Elsevier BV [0506], [doi] [abs]
- Murphy, KD; Virgin, LN; Rizzi, SA, Experimental snap-through boundaries for acoustically excited, thermally buckled plates,
Experimental Mechanics, vol. 36 no. 4
(1996),
pp. 312-317, Springer Nature [doi] [abs]
- Murphy, KD; Virgin, LN; Rizzi, SA, Experimental study of the forced response of pre- and post-critical plates,
American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 84 no. 3 Pt A/1
(December, 1995),
pp. 695-701 [abs]
- Fielder, WT; Virgin, LN; Plaut, RH, Experiments on a rocking block,
American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 84 no. 3 Pt A/1
(December, 1995),
pp. 781-786 [abs]
- Gottwald, JA; Virgin, LN; Dowell, EH, Routes to escape from an energy well,
Journal of Sound and Vibration, vol. 187 no. 1
(October, 1995),
pp. 133-144, Elsevier BV, ISSN 0022-460X [0506], [doi] [abs]
- Begley, CJ; Virgin, LN, A comparison of piecewise linear and continuous approximating models,
Mechanics Research Communications, vol. 22 no. 6
(January, 1995),
pp. 527-532, Elsevier BV, ISSN 0093-6413 [0093-6413(95)00057-7], [doi]
- Fielder, WT; Virgin, LN; Plaut, RH, Overturning of a rigid block under horizontal base excitation,
Proceedings of Engineering Mechanics, vol. 1
(January, 1995),
pp. 195-198 [abs]
- Gottwald, J.A., Virgin, L.N. and Dowell, E.H., Routes to escape from an energy well,
Journal of Sound and Vibration, vol. 187 no. 1
(1995),
pp. 133 - [0506]
- Plaut, RH; Murphy, KD; Virgin, LN, Curve and surface veering for a braced column,
J. Sound Vib. (Uk), vol. 187 no. 5
(1995),
pp. 879-885, Elsevier BV, ISSN 0022-460X [0570], [doi] [abs]
- Virgin, LN; Walsh, TF; Knight, JD, Nonlinear behavior of a magnetic bearing system,
Trans. Asme, J. Eng. Gas Turbines Power (Usa), vol. 117 no. 3
(1995),
pp. 582-588, ASME International [doi] [abs]
- Bayly, PV; Virgin, LN, Practical considerations in the control of chaos.,
Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 50 no. 1
(July, 1994),
pp. 604-607, American Physical Society (APS), ISSN 1063-651X [604], [doi] [abs]
- Virgin, LN; Erickson, BK, A new approach to the overturning stability of floating structures,
Ocean Engineering, vol. 21 no. 1
(January, 1994),
pp. 67-80, Elsevier BV, ISSN 0029-8018 [0029-8018(94)90030-2], [doi] [abs]
- Virgin, LN; Walsh, TF; Knight, JD, Nonlinear behavior of a magnetic bearing system,
Proceedings of the Asme Turbo Expo, vol. 5
(January, 1994),
pp. 1-7, ASME [doi] [abs]
- Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A., Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators,
J. Sound Vib. (UK), vol. 172 no. 1
(1994),
pp. 85 - 102 [1160] [abs]
- Murphy, KD; Bayly, PV; Virgin, LN; Gottwald, JA, Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators,
Journal of Sound and Vibration, vol. 172 no. 1
(1994),
pp. 85-102, Elsevier BV [1160], [doi] [abs]
- Virgin, LN; Murphy, KD, On the behavior of characteristic multipliers through a period-doubling sequence,
Journal of Sound and Vibration, vol. 169 no. 5
(1994),
pp. 699-703, Elsevier BV, ISSN 0022-460X [1042], [doi] [abs]
- Virgin, LN; Plaut, RH, Effect Of Axial Load On Forced Vibrations Of Beams,
Journal of Sound and Vibration, vol. 168 no. 3
(December, 1993),
pp. 395-405, Elsevier BV [1382], [doi] [abs]
- Donescu, P; Virgin, LN, Nonlinear coupled heave and roll oscillations of a ship in beam seas,
American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) Dsc, vol. 51
(December, 1993),
pp. 21-28 [abs]
- Reynolds, RR; Dowell, EH; Tang, D; Virgin, LN, Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study,
American Society of Mechanical Engineers, Aerospace Division (Publication) Ad, vol. 33
(December, 1993),
pp. 9-12 [abs]
- Reynolds, RR; Virgin, LN; Dowell, EH, High-dimensional chaos can lead to weak turbulence,
Nonlinear Dynamics, vol. 4 no. 6
(December, 1993),
pp. 531-546, Springer Nature [doi] [abs]
- Bayly, PV; Virgin, LN, On the stability of forced radial oscillations of an experimental spring pendulum,
American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 56
(December, 1993),
pp. 229-236, Albuquerque, NM, USA [abs]
- Bayly, PV; Virgin, LN, An empirical study of the stability of periodic motion in the forced spring-pendulum,
Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, vol. 443 no. 1918
(November, 1993),
pp. 391-408, The Royal Society, ISSN 1364-5021 [Gateway.cgi], [doi] [abs]
- Bayly, PV; Virgin, LN, An experimental study of an impacting pendulum,
Journal of Sound and Vibration, vol. 164 no. 2
(June, 1993),
pp. 364-374, Elsevier BV [1220], [doi] [abs]
- Bayly, P.V. and Virgin, L.N., An experimental study of an impacting pendulum,
J. Sound Vib. (UK), vol. 164 no. 2
(1993),
pp. 364 - 74 [1220] [abs]
- Virgin, LN, Dynamic characteristics of deteriorating engineering structures,
Applied Mechanics Reviews, vol. 46 no. 5
(1993),
pp. 220-226, ASME International [doi] [abs]
- Gottwald, JA; Virgin, LN; Dowell, EH, Experimental mimicry of Duffing's equation,
Journal of Sound and Vibration, vol. 158 no. 3
(November, 1992),
pp. 447-467, Elsevier BV, ISSN 0022-460X [0022-460X(92)90419-X], [doi] [abs]
- Virgin, LN; Plaut, RH; Cheng, CC, Prediction of escape from a potential well under harmonic excitation,
International Journal of Non Linear Mechanics, vol. 27 no. 3
(January, 1992),
pp. 357-365, Elsevier BV, ISSN 0020-7462 [doi] [abs]
- Bayly, PV; Virgin, LN, Experimental evidence of diffusive dynamics and `random walking' in a simple deterministic mechanical system: the shaken pendulum,
Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol. 2 no. 4
(1992),
pp. 983-988, World Scientific Pub Co Pte Lt [doi] [abs]
- Bayly, PV; Virgin, LN, Chaotic rattling of a piecewise nonlinear oscillator,
American Society of Mechanical Engineers (Paper)
(December, 1991),
pp. 1-6 [abs]
- Virgin, LN; Cartee, LA, A note on the escape from a potential well,
International Journal of Non Linear Mechanics, vol. 26 no. 3-4
(January, 1991),
pp. 449-452, Elsevier BV, ISSN 0020-7462 [0020-7462(91)90074-4], [doi] [abs]
- Plaut, RH; Virgin, LN, Use of frequency data to predict buckling,
Journal of Engineering Mechanics, vol. 116 no. 10
(January, 1990),
pp. 2330-2335, American Society of Civil Engineers (ASCE) [doi] [abs]
- Virgin, LN; Bishop, SR, Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics,
Journal of Offshore Mechanics and Arctic Engineering, vol. 112 no. 2
(January, 1990),
pp. 127-133, ASME International [doi] [abs]
- Dowell, EH; Virgin, LN, On spatial chaos, asymptotic modal analysis, and turbulence,
Journal of Applied Mechanics, vol. 57 no. 4
(January, 1990),
pp. 1094-1097, ASME International, ISSN 0021-8936 [Gateway.cgi], [doi] [abs]
- Virgin, LN, Approximate criterion for capsize based on deterministic dynamics,
Dynamics and Stability of Systems, vol. 4 no. 1
(1989),
pp. 55-70, Informa UK Limited [doi] [abs]
- Virgin, LN, On the harmonic response of an oscillator with unsymmetric restoring force,
Journal of Sound and Vibration, vol. 126 no. 1
(October, 1988),
pp. 157-165, Elsevier BV, ISSN 0022-460X [0022-460X(88)90405-1], [doi] [abs]
- Thompson, JMT; Virgin, LN, Spatial chaos and localization phenomena in nonlinear elasticity,
Physics Letters A, vol. 126 no. 8-9
(January, 1988),
pp. 491-496, Elsevier BV, ISSN 0375-9601 [0375-9601(88)90045-X], [doi] [abs]
- Virgin, LN; Bishop, SR, Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics.,
In: Omae 1988 Houston, Proc. 7th Int. Conf. on Offshore Mechanics and Arctic Engineering, (Houston, U.S.A.: Feb. 7 12, 1988),, vol. II, New York, U.S.A., Am. Soc. Mech. Eng
(January, 1988),
pp. 15-22 [abs]
- Virgin, LN; Bishop, SR, CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS.,
Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, vol. 2
(January, 1988),
pp. 15-22 [abs]
- Bishop, SR; Virgin, LN; Leung, DLM, On the computation of domains of attraction during the dynamic modelling of oscillating systems,
Applied Mathematical Modelling, vol. 12 no. 5
(January, 1988),
pp. 503-516, Elsevier BV, ISSN 0307-904X [0307-904X(88)90088-1], [doi] [abs]
- Virgin, LN; Bishop, SR, Complex dynamics and chaotic responses in the time domain simulations of a floating structure,
Ocean Engineering, vol. 15 no. 1
(January, 1988),
pp. 71-90, Elsevier BV, ISSN 0029-8018 [0029-8018(88)90020-0], [doi] [abs]
- Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible,
Journal of Offshore Mechanics and Arctic Engineering, vol. 110 no. 3
(January, 1988),
pp. 205-209, ASME International [doi] [abs]
- Virgin, LN, The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas,
Applied Ocean Research, vol. 9 no. 2
(January, 1987),
pp. 89-95, Elsevier BV, ISSN 0141-1187 [0141-1187(87)90011-3], [doi] [abs]
- Bishop, SR; Leung, LM; Virgin, LN, Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state,
Journal of Offshore Mechanics and Arctic Engineering, vol. 109 no. 3
(January, 1987),
pp. 223-228, ASME International [doi] [abs]
- Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible.,
In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987), vol. II, J.S. Chung; S. Berg; S.K. Chakrabart no. 3
(January, 1987),
pp. 205-209 [abs]
- Bishop, SR; Virgin, LN, ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE.,
Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, vol. 2
(January, 1987),
pp. 319-323 [abs]
- Virgin, LN, FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELF-WEIGHT LOADING.,
Proceedings of the Institution of Mechanical Engineers. Part C. Mechanical Engineering Science, vol. 201 no. C5
(1987),
pp. 345-347, SAGE Publications [doi] [abs]
- Virgin, LN, Parametric studies of the dynamic evolution through a fold,
Journal of Sound and Vibration, vol. 110 no. 1
(October, 1986),
pp. 99-109, ISSN 0022-460X [doi] [abs]
- Thompson, JMT; Virgin, LN, Predicting a jump to resonance using transient maps and beats,
International Journal of Non Linear Mechanics, vol. 21 no. 3
(January, 1986),
pp. 205-216, Elsevier BV, ISSN 0020-7462 [0020-7462(86)90004-1], [doi] [abs]
- Virgin, LN, Postbuckling dynamics of struts as related to their loading devices,
Engineering Structures, vol. 8 no. 2
(January, 1986),
pp. 127-133, Elsevier BV, ISSN 0141-0296 [doi] [abs]
- Virgin, LN, The dynamics of symmetric post-buckling,
International Journal of Mechanical Sciences, vol. 27 no. 4
(January, 1985),
pp. 235-248, Elsevier BV, ISSN 0020-7403 [0020-7403(85)90082-7], [doi] [abs]
Papers Accepted
- Y. Chandra, I. Stanciulescu, L.N. Virgin, R. Wiebe, T.G. Eason and S.M. Spottswood, Characterizing dynamic transitions associated with snap-through: A continuous model’,
Journal of Sound and Vibration
(2013)
Papers Submitted
- T. Witelski, L.N. Virgin and C. George, A double impact pendulum system
(2013)
- B. Phungpaingam, L. N. Virgin and S. Chucheepsakul, Snap-through phenomenon and self-contact of spatial elastica subjected to mid-torque
(2011)
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