
Books
 D.J. Wagg and L.N. Virgin, Exploiting Nonlinear Behavior in Structural Dynamics
(2012), Springer
Books
 L.N. Virgin, Vibration of Axially Loaded Structures
(2007), Cambridge University Press
 L.N. Virgin, Introduction to Experimental Nonlinear Dynamics
(2000), Cambridge University Press
Papers Published
 Y. Chandra, I. Stanciulescu, L.N. Virgin, T.G. Eason and S.M. Spottswood, A numerical investigation of snapthrough in a shallow archlike model,
Journal of Sound and Vibration, vol. 332
(2013),
pp. 25322548
 R. Wiebe, L.N. Virgin, I. Stanciulescu, S.M. Spottswood and T.G. Eason, Characterizing Dynamic Transitions Associated with SnapThrough: A Discrete System,
ASME Journal of Computational and Nonlinear Dynamics, vol. 8 no. 0110101
(2013)
 G.W. Hunt and L.N. Virgin, Michael Thompson: Some personal recollections,
Proceedings of the Royal Society of London, vol. 371
(2013),
pp. 20120449
 L.N. Virgin and R. Wiebe, On damping in the vicinity of critical points,
Philosophical Transactions of the Royal Society of London, vol. 371
(2013),
pp. 20120426
 R.H. Plaut and L.N. Virgin, Pendulum models of ponytail motion during walking and running,
Journal of Sound and Vibration, vol. 332
(2013),
pp. 37683780
 R. Srivastava, J. Panovsky, R. Kielb, L.N. Virgin and K. Ekici, Nonlinear flutter in fan stator vanes with time dependent fixity,
ASME Journal of Turbomachinery, vol. 134 no. 021009
(2012)
 R. Wiebe, L.N. Virgin and T.P. Witelski, A parametrically forced nonlinear system with reversible equilibria,
International Journal of Bifurcation and Chaos, vol. 22 no. 1230020
(2012),
pp. 116
 C.C. Olsen, J.M. Nichols and L.N. Virgin, Parameter estimation for chaotic systems using a geometric approach: theory and experiment,
Nonlinear Dynamics, vol. 70
(2012),
pp. 381391
 R. Wiebe and L.N. Virgin, A heuristic method for identifying chaos from frequency content,
Chaos: An Interdisciplinary Journal, vol. 22 no. 036136
(2012)
 L. Gao, M.A. Tahir, L.N. Virgin, and B.B. Yellen, Multiplexing Superparamagnetic Beads Using PhaseModulated MultiFrequency Ratchets,
Lab on a Chip, vol. 11 no. 42144220
(2011)
 B. Phungpaingam, L. N. Virgin and S. Chucheepsakul, Stability of spatial elastica including weight effects,
International Journal of Structural Stability and Dynamics, vol. 11 no. 6
(2011)
 S.T. Santillan and L.N. Virgin, Numerical and experimental analysis of the static behavior of highly deformed risers and pipelines,
Ocean Engineering, vol. 38
(2011),
pp. 13971402
 M.A. Tahir, L. Guo, L.N. Virgin and B.B. Yellen, Transport of superparamagnetic beads through a twodimensional potential energy landscape,
Physical Review E, vol. 84 no. 011403
(2011)
 R.H. Plaut and L.N. Virgin, Optimal design of cantilevered elastica for minimum tip deflection under selfweight,
Structural and Multidisciplinary Optimization, vol. 43
(2011),
pp. 657664
 S.T. Santillan, L.N. Virgin, and R.H. Plaut, Dynamic behavior of highlydeformed risers and pipelines,
ASME Journal of Offshore Mechanics and Arctic Engineering, vol. 132
(2010),
pp. 021401
 L. Gao, N.J. Gottron, L N. Virgin and B.B. Yellen, The synchronization of superparamagnetic beads driven by a micromagnetic ratchet,
Lab on a Chip, vol. 10
(2010),
pp. 21082114
 L.N. Virgin and R.H. Plaut, Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations’,
Structural and Multidisciplinary Optimization, vol. 40
(2010),
pp. 157164
 L.N. Virgin, T.C. Lyman and R.B. Davis, Nonlinear dynamics of a ball rolling on a surface,
American Journal of Physics, vol. 78
(2010),
pp. 250257
 R.H. Plaut and L.N. Virgin, Vibration and snapthrough of bent elastica strips subjected to end rotations,
Journal of Applied Mechanics, vol. 76 no. 041011
(2009)
 B. Yellen and L.N. Virgin, Nonlinear dynamics of superparamagnetic beads in a traveling magnetic field wave,
Physical Review E, vol. 80 no. 011402
(2009)
Papers Published
 S.T. Santillan, R.H. Plaut, T.P. Witelski and L.N. Virgin, Large amplitude oscillations of beams and columns including selfweight,
International Journal of Nonlinear Mechanics, vol. 43
(2008),
pp. 761771
 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. 721731
 R.B. Davis, L.N. Virgin and A.M. Brown, Cylindrical shell submerged in bounded acoustic media: a modal approach,
AIAA Journal, vol. 46
(2008),
pp. 752763
 R.H. Plaut, H.F. Favor, A.E. Jeffers and L.N. Virgin, Vibration isolation using buckled or prebent columns. Part 1: twodimensional motions of horizontal rigid bar,
Journal of Sound and Vibration, vol. 310
(2008),
pp. 409420
 D.B. Holland, L.N. Virgin and R.H. Plaut, Large deflections and vibration of a tapered cantilever pulled at its tip by a cable,
Journal of Sound and Vibration, vol. 310
(2008),
pp. 433441
 A.E. Jeffers, R.H. Plaut and L.N. Virgin, Vibration isolation using buckled or prebent columns. Part 2: threedimensional motions of horizontal rigid plate,
Journal of Sound and Vibration, vol. 310
(2008),
pp. 421432
 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. 721731
 L.N. Virgin, D.B. Holland and S. Santillan, Effect of gravity on the vibration of vertical cantilevers’,
Mechanics Research Communications, vol. 34
(2007),
pp. 312317
 M.D. Todd, J.M. Nichols, S.T. Trickey, M. Seaver, C.J. Nichols and L.N. Virgin, Bragg gratingbased fibre optic sensors in structural health monitoring,
Philosophical Transactions of the Royal Society of London, vol. 365
(2007),
pp. 317343
 R.B. Davis and L.N. Virgin, Nonlinear behavior in a discretelyforced oscillator,
International Journal of Nonlinear Mechanics, vol. 42
(2007),
pp. 744753
 I. Stanciulescu, L.N. Virgin and T.A. Laursen, Finite element analysis of a slender isogrid structure,
Journal of Spacecraft and Rockets, vol. 44
(2007),
pp. 529537
 H. Chen and L.N. Virgin, Finite element analysis of postbuckling dynamics in platesPart I: An asymptotic approach,
International Journal of Solids and Structures, vol. 43 no. 13
(2006),
pp. 3983  4007 [036] [abs]
 Santillan, S.T. and Virgin, L.N. and Plaut, R.H., Postbuckling and vibration of heavy beam on horizontal or inclined rigid foundation,
Journal of Applied Mechanics, Transactions ASME, vol. 73 no. 4
(2006),
pp. 664  671 [1.2165237] [abs]
 D.B. Holland, I. Stanciulescu, L.N. Virgin and R.H. Plaut, Vibration and large deflection of cantilevered elastica compressed by angled cable,
AIAA Journal, vol. 44 no. 7
(2006),
pp. 1468  1476 [abs]
 H. Chen and L.N. Virgin, Finite element analysis of postbuckling dynamics in plates. Part II: A nonstationary analysis,
International Journal of Solids and Structures, vol. 43 no. 13
(2006),
pp. 4008  4027 [037] [abs]
 R.H. Plaut, D.A. Dillard, and L.N. Virgin, Postbuckling of elastic columns with secondmode imperfection,
Journal of Engineering Mechanics, vol. 132 no. 8
(2006),
pp. 898  901 [(ASCE)07339399(2006)132:8(898)] [abs]
 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. 664671
 Plaut, R.H. and Sidbury, J.E. and Virgin, L.N., Analysis of buckled and prebent fixedend columns used as vibration isolators,
Journal of Sound and Vibration, vol. 283 no. 35
(2005),
pp. 1216  1228 [029] [abs]
 J. Xie, W. Ding, E.H. Dowell and L.N. Virgin, Hopfflip bifurcation of high dimensional maps and application to vibroimpact systems,
Acta Mechanica Sinica/Lixue Xuebao, vol. 21 no. 4
(2005),
pp. 402  410 [abs]
 Moniz, L. and Nichols, J.M. and Nichols, C.J. and Seaver, M. and Trickey, S.T. and Todd, M.D. and Pecora, L.M. and Virgin, L.N., A multivariate, attractorbased approach to structural health monitoring,
Journal of Sound and Vibration, vol. 283 no. 12
(2005),
pp. 295  310 [016] [abs]
 S. Santillan, L.N. Virgin and R.H. Plaut, Equilibria and vibration of a heavy pinched loop,
Journal of Sound and Vibration, vol. 288 no. 12
(2005),
pp. 81  90 [016] [abs]
 Todd, M.D. and Nichols, J.M. and Nichols, C.J. and Virgin, L.N., An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment,
Journal of Sound and Vibration, vol. 275 no. 35
(2004),
pp. 1113  1126 [037] [abs]
 Nichols, J.M. and Nichols, C.J. and Todd, M.D. and Seaver, M. and Trickey, S.T. and Virgin, L.N., Use of datadriven phase space models in assessing the strength of a bolted connection in a composite beam,
Smart Materials and Structures, vol. 13 no. 2
(2004),
pp. 241  250 [001] [abs]
 Chen, H. and Virgin, L.N., Dynamic analysis of modal shifting and mode jumping in thermally buckled plates,
Journal of Sound and Vibration, vol. 278 no. 12
(2004),
pp. 233  256 [054] [abs]
 Piiroinen, P.T. and Virgin, L.N. and Champneys, A.R., Chaos and periodadding: Experimental and numerical verification of the grazing bifurcation,
Journal of Nonlinear Science, vol. 14 no. 4
(2004),
pp. 383  404 [s003320040616y] [abs]
 Virgin, L.N. and Plaut, R.H., Postbuckling and vibration of linearly elastic and softening columns under selfweight,
International Journal of Solids and Structures, vol. 41 no. 1819
(2004),
pp. 4989  5001 [023] [abs]
 Plaut, R.H. and Virgin, L.N., Threedimensional postbuckling and vibration of vertical halfloop under selfweight,
International Journal of Solids and Structures, vol. 41 no. 1819
(2004),
pp. 4975  4988 [014] [abs]
 Nichols, J.M. and Virgin, L.N. and Todd, M.D. and Nichols, J.D., On the use of attractor dimension as a feature in structural health monitoring,
Mechanical Systems and Signal Processing, vol. 17 no. 6
(2003),
pp. 1305  1320 [1521] [abs]
 Virgin, L.N. and Davis, R.B., Vibration isolation using buckled struts [3],
Journal of Sound and Vibration, vol. 260 no. 5
(2003),
pp. 965  973 [S0022460X(02)01177X] [abs]
 Nichols, J.M. and Virgin, L.N., System identification through chaotic interrogation,
Mechanical Systems and Signal Processing, vol. 17 no. 4
(2003),
pp. 871  881 [1471] [abs]
 Nichols, J.M. and Trickey, S.T. and Todd, M.D. and Virgin, L.N., Structural health monitoring through chaotic interrogation,
Meccanica, vol. 38 no. 2
(2003),
pp. 239  250 [A:1022898403359] [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]
 Virgin, L.N. and Nichols, J.M. and Trickey, S.T., A note on the response spectrum map,
Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol. 13 no. 5
(2003),
pp. 1337  41 [S0218127403007278] [abs]
 Nichols, J.M. and Todd, M.D. and Seaver, M. and Virgin, L.N., Use of chaotic excitation and attractor property analysis in structural health monitoring,
Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. (USA), vol. 67 no. 1
(2003),
pp. 16209  1 [PhysRevE.67.016209] [abs]
 Virgin, L.N. and Plaut, R.H., Use of frequency data to predict secondary bifurcation,
Journal of Sound and Vibration, vol. 251 no. 5
(2002),
pp. 919  926 [3906]
 S.T. Trickey, L.N. Virgin and E.H. Dowell, The stability of limitcycle oscillations in a nonlinear aeroelastic system,
Proc. R. Soc. Lond. A, Math. Phys. Eng. Sci. (UK), vol. 458 no. 2025
(2002),
pp. 2203  26 [0965] [abs]
 M.D. Todd, J.M. Nichols, L.M. Pecora and L.N. Virgin, Vibrationbased damage assessment utilizing state space geometry changes: local attractor variance ratio,
Smart Materials and Structures, vol. 10 no. 5
(2001),
pp. 1000  1008 [316] [abs]
 Donescu, P. and Virgin, L.N., An implicit boundary element solution with consistent linearization for free surface flows and nonlinear fluidstructure interaction of floating bodies,
International Journal for Numerical Methods in Engineering, vol. 51 no. 4
(2001),
pp. 379  412 [141] [abs]
 Begley, C.J. and Virgin, L.N., On the OGY control of an impactfriction oscillator,
JVC/Journal of Vibration and Control, vol. 7 no. 6
(2001),
pp. 923  931 [abs]
 Nichols, J.M. and Virgin, L.N. and Gavin, H.P., Damping estimates from experimental nonlinear timeseries,
Journal of Sound and Vibration, vol. 246 no. 5
(2001),
pp. 815  827 [3653] [abs]
 Nichols, J.M. and Virgin, L.N., Practical evaluation of invariant measures for the chaotic response of a twofrequency excited mechanical oscillator,
Nonlinear Dynamics, vol. 26 no. 1
(2001),
pp. 67  86 [A:1012923517945] [abs]
 Virgin, L.N. and Begley, C.J., Grazing bifurcations and basins of attraction in an impactfriction oscillator,
Physica D: Nonlinear Phenomena, vol. 130 no. 1
(1999),
pp. 43  57 [S01672789(99)000160] [abs]
 Trickey, S.T. and Virgin, L.N., Bottlenecking phenomenon near a saddlenode remnant in a Duffing oscillator,
Phys. Lett. A (Netherlands), vol. 248 no. 24
(1998),
pp. 185  90 [S03759601(98)006653] [abs]
 Tang, D. and Dowell, E.H. and Virgin, L.N., Limit cycle behavior of an airfoil with a control surface,
Journal of Fluids and Structures, vol. 12 no. 7
(1998),
pp. 839  858 [0174] [abs]
 Begley, C.J. and Virgin, L.N., Impact response and the influence of friction,
Journal of Sound and Vibration, vol. 211 no. 5
(1998),
pp. 801  818 [1389] [abs]
 Virgin, L.N. and Dowell, E.H. and Conner, M.D., On the evolution of deterministic nonperiodic behavior of an airfoil,
International Journal of NonLinear Mechanics, vol. 34 no. 3
(1998),
pp. 499  514 [S00207462(98)000389] [abs]
 Hu, Haiyan and Dowell, Earl H. and Virgin, Lawrence N., Resonances of a harmonically forced Duffing oscillator with time delay state feedback,
Nonlinear Dynamics, vol. 15 no. 4
(1998),
pp. 311  327 [A:1008278526811] [abs]
 Hu, H.Y. and Dowell, E.H. and Virgin, L.N., Stability estimation of high dimensional vibrating systems under state delay feedback control,
Journal of Sound and Vibration, vol. 214 no. 3
(1998),
pp. 497  511 [1548] [abs]
 Virgin, L.N. and Todd, M.D. and Begley, C.J. and Trickey, S.T. and Dowell, E.H., Basins of attraction in experimental nonlinear oscillators,
Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol. 8 no. 3
(1998),
pp. 521  33 [S0218127498000334] [abs]
 Conner, M.D. and Tang, D.M. and Dowell, E.H. and Virgin, L.N., 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
(1997),
pp. 89  109 [0068] [abs]
 Slade, K.N. and Virgin, L.N. and Bayly, P.V., Extracting information from interimpact intervals in a mechanical oscillator,
Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 56 no. 3B pt B
(1997),
pp. 3705  3708 [3705] [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]
 Fielder, W.T. and Virgin, L.N. and Plaut, R.H., Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation,
European Journal of Mechanics, A/Solids, vol. 16 no. 5
(1997),
pp. 905  923 [abs]
 Slade, K.N. and Virgin, L.N. and Bayly, P.V., Extracting information from interimpact intervals in a mechanical oscillator,
Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (USA), vol. 56 no. 3
(1997),
pp. 3705  8 [3705] [abs]
 Todd, M.D. and Virgin, L.N., An experimental verification of basin metamorphoses in a nonlinear mechanical system,
Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol. 7 no. 6
(1997),
pp. 1337  57 [S0218127497001060] [abs]
 Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., 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  9 [abs]
 Todd, M.D. and Virgin, L.N., An experimental impact oscillator,
Chaos Solitons Fractals (UK), vol. 8 no. 4
(1997),
pp. 699  714 [S09600779(96)001129] [abs]
 Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., Experimental snapthrough boundaries for acoustically excited, thermally buckled plates,
Experimental Mechanics, vol. 36 no. 4
(1996),
pp. 312  317 [abs]
 Todd, M.D. and Virgin, L.N., Natural frequency considerations of an impact oscillator,
Journal of Sound and Vibration, vol. 194 no. 3
(1996),
pp. 452  460 [0370] [abs]
 Donescu, P. and Virgin, L.N. and Wu, J.J., Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics,
Journal of Sound and Vibration, vol. 192 no. 5
(1996),
pp. 959  976 [0228] [abs]
 P. Donescu and L.N. Virgin, Efficient determination of higherorder periodic solutions using nmode harmonic balance,
IMA Journal of Applied Mathematics (Institute of Mathematics & Its Applications), vol. 56 no. 1
(1996),
pp. 21  32 [abs]
 Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., Characterizing the dynamic response of a thermally loaded, acoustically excited plate,
Journal of Sound and Vibration, vol. 196 no. 5
(1996),
pp. 635  658 [0506] [abs]
 Virgin, L.N. and Fielder, W.T. and Plaut, R.H., Transient motion and overturning of a rocking block on a seesawing foundation,
Journal of Sound and Vibration, vol. 191 no. 1
(1996),
pp. 177  187 [0114] [abs]
 Plaut, R.H. and Fielder, W.T. and Virgin, L.N., Fractal behavior of an asymmetric rigid block overturning due to harmonic motion of a tilted foundation,
Chaos, Solitons and Fractals, vol. 7 no. 2
(1996),
pp. 177  [09600779(95)000593]
 Todd, M.D. and Virgin, L.N. and Gottwald, J.A., Nonstationary transition through resonance,
Nonlinear Dynamics, vol. 10 no. 1
(1996),
pp. 31  48 [abs]
 M.D. Conner, P. Donescu and L.N. Virgin,, On the global convergence characteristics of numerically evaluated Jacobian matrices,
Nonlinear Dynamics, vol. 10 no. 2
(1996),
pp. 165  174 [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]
 Plaut, R.H. and Murphy, K.D. and Virgin, L.N., Curve and surface veering for a braced column,
J. Sound Vib. (UK), vol. 187 no. 5
(1995),
pp. 879  85 [0570] [abs]
 Gottwald, J.A. and Virgin, L.N. and Dowell, E.H., Routes to escape from an energy well,
J. Sound Vib. (UK), vol. 187 no. 1
(1995),
pp. 133  44 [0506] [abs]
 Begley, C.J. and Virgin, L.N., Comparison of piecewise linear and continuous approximating models,
Mechanics Research Communications, vol. 22 no. 6
(1995),
pp. 527  [00936413(95)000577]
 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]
 Virgin, L.N. and Walsh, T.F. and Knight, J.D., Nonlinear behavior of a magnetic bearing system,
Trans. ASME, J. Eng. Gas Turbines Power (USA), vol. 117 no. 3
(1995),
pp. 582  8 [abs]
 Virgin, L.N. and Murphy, K.D., On the behavior of characteristic multipliers through a perioddoubling sequence,
Journal of Sound and Vibration, vol. 169 no. 5
(1994),
pp. 699  703 [1042] [abs]
 Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A., Measuring the stability of periodic attractors using perturbationinduced transients: applications to two nonlinear oscillators,
Journal of Sound and Vibration, vol. 172 no. 1
(1994),
pp. 85  102 [1160] [abs]
 Virgin, L.N. and Erickson, B.K., New approach to the overturning stability of floating structures,
Ocean Engineering (Pergamon), vol. 21 no. 1
(1994),
pp. 67  80 [00298018(94)900302] [abs]
 Bayly, P.V. and Virgin, L.N., Practical considerations in the control of chaos,
Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (USA), vol. 50 no. 1
(1994),
pp. 604  7 [604] [abs]
 Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A., Measuring the stability of periodic attractors using perturbationinduced transients: applications to two nonlinear oscillators,
J. Sound Vib. (UK), vol. 172 no. 1
(1994),
pp. 85  102 [1160] [abs]
 Bayly, P.V. and Virgin, L.N., An empirical study of the stability of periodic motion in the forced springpendulum,
Proc. R. Soc. Lond. A, Math. Phys. Sci. (UK), vol. 443 no. 1918
(1993),
pp. 391  408 [abs]
 R. Reynolds, L.N. Virgin and E.H. Dowell, Highdimensional chaos cab lead to weak turbulence,
Nonlinear Dynamics, vol. 4 no. 6
(1993),
pp. 531  546 [abs]
 Bayly, P.V. and Virgin, L.N., Experimental study of an impacting pendulum,
Journal of Sound and Vibration, vol. 164 no. 2
(1993),
pp. 364  374 [1220] [abs]
 Virgin, L.N., Dynamic characteristics of deteriorating engineering structures,
Applied Mechanics Reviews, vol. 46 no. 5
(1993),
pp. 220  226 [abs]
 Virgin, L.N. and Plaut, R.H., Effect of axial load on for CED vibrations of beams,
Journal of Sound and Vibration, vol. 168 no. 3
(1993),
pp. 395  405 [1382] [abs]
 Bayly, Philip V. and Virgin, Lawrence N., On the stability of forced radial oscillations of an experimental spring pendulum,
American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 56
(1993),
pp. 229  236, Albuquerque, NM, USA [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]
 Bayly, P.V. and Virgin, L.N., 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  8 [abs]
 Gottwald, J.A. and Virgin, L.N. and Dowell, E.H., Experimental mimicry of Duffing's equation,
J. Sound Vib. (UK), vol. 158 no. 3
(1992),
pp. 447  67 [0022460X(92)90419X] [abs]
 L.N. Virgin and L.A. Cartee, Note on the escape from a potential well,
International Journal of NonLinear Mechanics, vol. 26 no. 34
(1991),
pp. 449  452 [00207462(91)900744] [abs]
 Dowell, E.H. and Virgin, L.N., On spatial chaos, asymptotic modal analysis, and turbulence,
Trans. ASME, J. Appl. Mech. (USA), vol. 57 no. 4
(1990),
pp. 1094  7 [abs]
 Virgin, L.N. and Bishop, S.R., Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics,
Journal of Offshore Mechanics and Arctic Engineering, vol. 112 no. 2
(1990),
pp. 127  133 [abs]
 R.H. Plaut and L.N. Virgin, Use of frequency data to predict buckling,
Journal of Engineering Mechanics, vol. 116 no. 10
(1990),
pp. 2330  2339 [abs]
 L.N. Virgin, Approximate criterion for capsize based on deterministic dynamics,
Dynamics and Stability of Systems, vol. 4 no. 1
(1989),
pp. 55  70 [abs]
 Bishop, S. R. and Virgin, L. N., ONSET OF CHAOTIC MOTIONS OF A MOORED SEMISUBMERSIBLE.,
Journal of Offshore Mechanics and Arctic Engineering, vol. 110 no. 3
(1988),
pp. 205  209 [abs]
 S.R. Bishop, L.N. Virgin and D.M. Leung, On the computation of domains of attraction during the dynamic modelling of oscillating systems,
Applied Mathematical Modelling, vol. 12 no. 5
(1988),
pp. 503  516 [0307904X(88)900881] [abs]
 Virgin, L. N. and Bishop, S. R., COMPLEX DYNAMICS AND CHAOTIC RESPONSES IN THE TIME DOMAIN SIMULATIONS OF A FLOATING STRUCTURE.,
Ocean Engineering (Pergamon), vol. 15 no. 1
(1988),
pp. 71  90 [00298018(88)900200] [abs]
 Virgin, L.N., On the harmonic Response of an oscillator with unsymmetric restoring force,
Journal of Sound and Vibration, vol. 126 no. 1
(1988),
pp. 157  165 [0022460X(88)904051] [abs]
 Thompson, J.M.T. and Virgin, L.N., Spatial chaos and localization phenomena in nonlinear elasticity,
Phys. Lett. A (Netherlands), vol. 126 no. 89
(1988),
pp. 491  6 [03759601(88)90045X] [abs]
 Bishop, S. R. and Leung, L. M. and Virgin, L. N., PREDICTING INCIPIENT JUMPS TO RESONANCE OF COMPLIANT MARINE STRUCTURES IN AN EVOLVING SEASTATE.,
Journal of Offshore Mechanics and Arctic Engineering, vol. 109 no. 3
(1987),
pp. 223  228 [abs]
 Virgin, L. N., FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELFWEIGHT LOADING.,
Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science, vol. 201 no. C5
(1987),
pp. 345  347 [abs]
 Virgin, L. N., NONLINEAR ROLLING RESPONSE OF A VESSEL INCLUDING CHAOTIC MOTIONS LEADING TO CAPSIZE IN REGULAR SEAS.,
Applied Ocean Research, vol. 9 no. 2
(1987),
pp. 89  95 [01411187(87)900113] [abs]
 Virgin, L.N., Parametric studies of the dynamic evolution through a fold,
J. Sound Vib. (UK), vol. 110 no. 1
(1986),
pp. 99  109 [abs]
 Virgin, L. N., POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES.,
Engineering Structures, vol. 8 no. 2
(1986),
pp. 127  133 [abs]
 Thompson, J. M. T. and Virgin, L. N., PREDICTING A JUMP TO RESONANCE USING TRANSIENT MAPS AND BEATS.,
International Journal of NonLinear Mechanics, vol. 21 no. 3
(1986),
pp. 205  216 [00207462(86)900041] [abs]
 Virgin, Lawrence N., DYNAMICS OF SYMMETRIC POSTBUCKLING.,
International Journal of Mechanical Sciences, vol. 27 no. 4
(1985),
pp. 235  248 [00207403(85)900827] [abs]
Papers Accepted
 T.G. Lyman, L.N. Virgin and R.B. Davis, Application of continuation methods to uniaxially loaded postbuckled plates
(2013)
 Y. Chandra, I. Stanciulescu, L.N. Virgin, R. Wiebe, T.G. Eason and S.M. Spottswood, Characterizing dynamic transitions associated with snapthrough: A continuous model’,
Journal of Sound and Vibration
(2013)
Papers Submitted
 L.N. Virgin, R. Wiebe, S.M. Spottswood, and T.G. Eason, Sensitivity in the structural behavior of shallow arches
(2013)
 J.J. Waite, L.N. Virgin and R. Wiebe, Competing responses in a discrete mechanical system
(2013)
 T. Witelski, L.N. Virgin and C. George, A double impact pendulum system
(2013)
 B. Phungpaingam, L. N. Virgin and S. Chucheepsakul, Snapthrough phenomenon and selfcontact of spatial elastica subjected to midtorque
(2011)
