Publications of Lawrie Virgin

Books

  1. L.N. Virgin, Vibration of Axially Loaded Structures (2007), Cambridge University Press
  2. L.N. Virgin, Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press

Papers Published

  1. R.H. Plaut, H.F. Favor, A.E. Jeffers and L.N. Virgin, Vibration isolation using buckled or pre-bent columns. Part 1: two-dimensional motions of horizontal rigid bar, Journal of Sound and Vibration, vol. 310 (2008), pp. 409-420
  2. 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. 433-441
  3. A.E. Jeffers, R.H. Plaut and L.N. Virgin, Vibration isolation using buckled or pre-bent columns. Part 2: three-dimensional motions of horizontal rigid plate, Journal of Sound and Vibration, vol. 310 (2008), pp. 421-432
  4. 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. 312-317
  5. M.D. Todd, J.M. Nichols, S.T. Trickey, M. Seaver, C.J. Nichols and L.N. Virgin, Bragg grating-based fibre optic sensors in structural health monitoring, Philosophical Transactions of the Royal Society of London, vol. 365 (2007), pp. 317-343
  6. R.B. Davis and L.N. Virgin, Non-linear behavior in a discretely-forced oscillator, International Journal of Nonlinear Mechanics, vol. 42 (2007), pp. 744-753
  7. 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. 529-537
  8. H. Chen and L.N. Virgin, Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach, International Journal of Solids and Structures, vol. 43 no. 13 (2006), pp. 3983 - 4007
  9. Santillan, S.T. and Virgin, L.N. and Plaut, R.H., Post-buckling 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
  10. Holland, David B. and Stanciulescu, Ilinca and Virgin, Lawrence N. and Plaut, Raymond H., Vibration and large deflection of cantilevered elastica compressed by angled cable, AIAA Journal, vol. 44 no. 7 (2006), pp. 1468 - 1476
  11. Chen, Hui and Virgin, Lawrence N., 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 (2006), pp. 4008 - 4027
  12. Plaut, Raymond H. and Dillard, David A. and Virgin, Lawrence N., Postbuckling of elastic columns with second-mode imperfection, Journal of Engineering Mechanics, vol. 132 no. 8 (2006), pp. 898 - 901
  13. 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
  14. Holland, David B. and Stanciulescu, Ilinca and Virgin, Lawrence N. and Plaut, Raymond H., 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 (2005), pp. 2130 - 2142, Austin, TX, United States
  15. Plaut, R.H. and Sidbury, J.E. and Virgin, L.N., Analysis of buckled and pre-bent fixed-end columns used as vibration isolators, Journal of Sound and Vibration, vol. 283 no. 3-5 (2005), pp. 1216 - 1228
  16. Stanciulescu, Ilinca and Virgin, Lawrence N. and Laursen, Tod A., 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 (2005), pp. 2121 - 2129, Austin, TX, United States
  17. Xie, Jianhua and Ding, Wangcai and Dowell, E.H. and Virgin, L.N., Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems, Acta Mechanica Sinica/Lixue Xuebao, vol. 21 no. 4 (2005), pp. 402 - 410
  18. 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, attractor-based approach to structural health monitoring, Journal of Sound and Vibration, vol. 283 no. 1-2 (2005), pp. 295 - 310
  19. 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. 1-2 (2005), pp. 81 - 90
  20. 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. 3-5 (2004), pp. 1113 - 1126
  21. Nichols, J.M. and Nichols, C.J. and Todd, M.D. and Seaver, M. and Trickey, S.T. and Virgin, L.N., 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 (2004), pp. 241 - 250
  22. 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. 1-2 (2004), pp. 233 - 256
  23. Piiroinen, P.T. and Virgin, L.N. and Champneys, A.R., Chaos and period-adding: Experimental and numerical verification of the grazing bifurcation, Journal of Nonlinear Science, vol. 14 no. 4 (2004), pp. 383 - 404
  24. Virgin, L.N. and Plaut, R.H., Postbuckling and vibration of linearly elastic and softening columns under self-weight, International Journal of Solids and Structures, vol. 41 no. 18-19 (2004), pp. 4989 - 5001
  25. Plaut, R.H. and Virgin, L.N., Three-dimensional postbuckling and vibration of vertical half-loop under self-weight, International Journal of Solids and Structures, vol. 41 no. 18-19 (2004), pp. 4975 - 4988
  26. Holland, D.B. and Virgin, L.N. and Belvin, W.K., 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 (2003), pp. 3192 - 3198, Norfolk, VA, United States
  27. 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
  28. 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
  29. Todd, M.D. and Nichols, J. and Seaver, M. and Trickey, S. and Virgin, L. and Pecora, L. and Carroll, T., Development and application of chaotic attractor property analysis for vibration-based structural damage assessment, AIP Conf. Proc. (USA) no. 676 (2003), pp. 315 - 26, San Diego, CA, USA
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. Holland, David B. and Virgin, Lawrence N. and Tinker, Michael L. and Slade, Kara N., 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 (2002), pp. 507 - 516, Denver, CO
  36. 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
  37. S.T. Trickey, L.N. Virgin and E.H. Dowell, The stability of limit-cycle oscillations in a nonlinear aeroelastic system, Proc. R. Soc. Lond. A, Math. Phys. Eng. Sci. (UK), vol. 458 no. 2025 (2002), pp. 2203 - 26
  38. Nichols, J.M. and Todd, M.D. and Virgin, L.N. and Pecora, L.M., Vibration-based damage assessment using local attractor variance, Proceedings of SPIE - The International Society for Optical Engineering, vol. 4330 (2001), pp. 128 - 136, Newport Beach, CA
  39. Virgin, L.N. and Aldemir, U. and Gavin, H.P. and Nichols, J.M. and Plaut, R.H., An investigation of a rocking-sliding block, Proceedings of the ASME Design Engineering Technical Conference, vol. 6 B (2001), pp. 1279 - 1283, Pittsburgh, PA, United States
  40. Todd, M.D. and Nichols, J.M. and Pecora, L.M. and Virgin, L.N., Novel nonlinear feature identification in vibration-based damage detection using local attractor variance, Proceedings of the International Modal Analysis Conference - IMAC, vol. 1 (2001), pp. 438 - 444, Kissimmee, FL
  41. M.D. Todd, J.M. Nichols, L.M. Pecora and L.N. Virgin, Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio, Smart Materials and Structures, vol. 10 no. 5 (2001), pp. 1000 - 1008
  42. Donescu, P. and Virgin, L.N., 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 (2001), pp. 379 - 412
  43. Begley, C.J. and Virgin, L.N., On the OGY control of an impact-friction oscillator, JVC/Journal of Vibration and Control, vol. 7 no. 6 (2001), pp. 923 - 931
  44. Nichols, J.M. and Virgin, L.N. and Gavin, H.P., Damping estimates from experimental non-linear time-series, Journal of Sound and Vibration, vol. 246 no. 5 (2001), pp. 815 - 827
  45. Virgin, L.N. and Nichols, J.M. and Simmons, W.N. and Plaut, R.H., On the response of a shaken cable-suspended mass, Proceedings of the ASME Design Engineering Technical Conference, vol. 6 B (2001), pp. 2109 - 2113, Pittsburgh, PA, United States
  46. Nichols, J.M. and Virgin, L.N., Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator, Nonlinear Dynamics, vol. 26 no. 1 (2001), pp. 67 - 86
  47. Virgin, L. and Trickey, S. and Dowell, E., Stability transitions in a nonlinear airfoil, Proceedings of the 5th Experimental Chaos Conference (2001), pp. 335 - 44, Orlando, FL, USA
  48. Slade, K.N. and Virgin, L.N. and Tinker, M.L., 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 (2001), pp. 1720 - 1728, Seattle, WA
  49. Trickey, Stephen T. and Virgin, Lawrence N. and Dowell, Earl H., 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 (2000), pp. 57 - 62, Atlanta, GA, USA
  50. Virgin, L.N. and Begley, C.J., Nonlinear features in the dynamics of an impact-friction oscillator, AIP Conf. Proc. (USA) no. 502 (2000), pp. 469 - 75, Ambleside, UK
  51. Virgin, L.N. and Begley, C.J., Grazing bifurcations and basins of attraction in an impact-friction oscillator, Physica D: Nonlinear Phenomena, vol. 130 no. 1 (1999), pp. 43 - 57
  52. Trickey, S.T. and Virgin, L.N., Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator, Phys. Lett. A (Netherlands), vol. 248 no. 2-4 (1998), pp. 185 - 90
  53. 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
  54. 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
  55. Virgin, L.N. and Dowell, E.H. and Conner, M.D., On the evolution of deterministic non-periodic behavior of an airfoil, International Journal of Non-Linear Mechanics, vol. 34 no. 3 (1998), pp. 499 - 514
  56. 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
  57. 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
  58. 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
  59. 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
  60. 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. 3-B pt B (1997), pp. 3705 - 3708
  61. 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
  62. 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
  63. 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
  64. 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
  65. 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
  66. Todd, M.D. and Virgin, L.N., An experimental impact oscillator, Chaos Solitons Fractals (UK), vol. 8 no. 4 (1997), pp. 699 - 714
  67. Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., Experimental snap-through boundaries for acoustically excited, thermally buckled plates, Experimental Mechanics, vol. 36 no. 4 (1996), pp. 312 - 317
  68. 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
  69. 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
  70. Donescu, Pompiliu and Virgin, Lawrence N., Efficient determination of higher-order periodic solutions using n-mode harmonic balance, IMA Journal of Applied Mathematics (Institute of Mathematics & Its Applications), vol. 56 no. 1 (1996), pp. 21 - 32
  71. Slade, Kara N. and Virgin, Lawrence N., Monitoring the behavior of an experimental impacting system, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 90 (1996), pp. 75 - 84, Atlanta, GA, USA
  72. 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
  73. 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
  74. 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 -
  75. 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
  76. Donescu, Pompiliu and Virgin, Lawrence N., Free surface flow computation using a fully consistent method, American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, vol. 238 no. 3 (1996), pp. 421 - 426, San Diego, CA, USA
  77. Conner, Mark D. and Donescu, Pompiliu and Virgin, Lawrence N., On the global convergence characteristics of numerically evaluated Jacobian matrices, Nonlinear Dynamics, vol. 10 no. 2 (1996), pp. 165 - 174
  78. 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
  79. 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
  80. 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
  81. 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 -
  82. Fielder, W.T. and Virgin, L.N. and Plaut, R.H., Experiments on a rocking block, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 84 no. 3 Pt A/1 (1995), pp. 781 - 786, Boston, MA, USA
  83. Gottwald, J.A. and 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 -
  84. Fielder, W. Todd and Virgin, Lawrence N. and Plaut, Raymond H., Overturning of a rigid block under horizontal base excitation, Proceedings of Engineering Mechanics, vol. 1 (1995), pp. 195 - 198, Boulder, CO, USA
  85. Murphy, K.D. and Virgin, L.N. and Rizzi, S.A., 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 (1995), pp. 695 - 701, Boston, MA, USA
  86. 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
  87. Virgin, L.N. and Murphy, K.D., On the behavior of characteristic multipliers through a period-doubling sequence, Journal of Sound and Vibration, vol. 169 no. 5 (1994), pp. 699 - 703
  88. Virgin, Lawrence N. and Walsh, Thomas F. and Knight, Josiah D., Nonlinear behavior of a magnetic bearing system, American Society of Mechanical Engineers (Paper) (1994), pp. 1 - 7, Hague, Neth
  89. 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, Journal of Sound and Vibration, vol. 172 no. 1 (1994), pp. 85 - 102
  90. 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
  91. 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
  92. 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
  93. Bayly, P.V. and Virgin, L.N., An empirical study of the stability of periodic motion in the forced spring-pendulum, Proc. R. Soc. Lond. A, Math. Phys. Sci. (UK), vol. 443 no. 1918 (1993), pp. 391 - 408
  94. Reynolds, Robert R. and Dowell, Earl H. and Tang, Deman and Virgin, Lawrence N., Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study, American Society of Mechanical Engineers, Aerospace Division (Publication) AD, vol. 33 (1993), pp. 9 - 12, New Orleans, LA, USA
  95. Reynolds, Robert R. and Virgin, Lawrence N. and Dowell, Earl H., High-dimensional chaos cab lead to weak turbulence, Nonlinear Dynamics, vol. 4 no. 6 (1993), pp. 531 - 546
  96. 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
  97. Virgin, L.N., Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol. 46 no. 5 (1993), pp. 220 - 226
  98. Donescu, Pompiliu and Virgin, Lawrence N., 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 (1993), pp. 21 - 28, New Orleans, LA, USA
  99. 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
  100. 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
  101. 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
  102. 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
  103. 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
  104. Bayly, Philip V. and Virgin, Lawrence N., Chaotic rattling of a piecewise nonlinear oscillator, American Society of Mechanical Engineers (Paper) (1991), pp. 1 - 6, Atlanta, GA, USA
  105. Virgin, Lawrence N. and Cartee, Lianne A., Note on the escape from a potential well, International Journal of Non-Linear Mechanics, vol. 26 no. 3-4 (1991), pp. 449 - 452
  106. 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
  107. 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
  108. Plaut, Raymond H. and Virgin, Lawrence N., Use of frequency data to predict buckling, Journal of Engineering Mechanics, vol. 116 no. 10 (1990), pp. 2330 - 2339
  109. Virgin, Lawrence N., Approximate criterion for capsize based on deterministic dynamics, Dynamics and Stability of Systems, vol. 4 no. 1 (1989), pp. 55 - 70
  110. Bishop, S. R. and Virgin, L. N., ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE., Journal of Offshore Mechanics and Arctic Engineering, vol. 110 no. 3 (1988), pp. 205 - 209
  111. Bishop, Steve R. and Virgin, Lawrence N. and Leung, Dennis L.M., 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
  112. 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
  113. 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
  114. Thompson, J.M.T. and Virgin, L.N., Spatial chaos and localization phenomena in nonlinear elasticity, Phys. Lett. A (Netherlands), vol. 126 no. 8-9 (1988), pp. 491 - 6
  115. Bishop, S. R. and Leung, L. M. and Virgin, L. N., 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 (1987), pp. 223 - 228
  116. Virgin, L. N., 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
  117. 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
  118. Virgin, L.N., Parametric studies of the dynamic evolution through a fold, J. Sound Vib. (UK), vol. 110 no. 1 (1986), pp. 99 - 109
  119. Virgin, L. N., POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES., Engineering Structures, vol. 8 no. 2 (1986), pp. 127 - 133
  120. Thompson, J. M. T. and Virgin, L. N., PREDICTING A JUMP TO RESONANCE USING TRANSIENT MAPS AND BEATS., International Journal of Non-Linear Mechanics, vol. 21 no. 3 (1986), pp. 205 - 216
  121. Virgin, Lawrence N., DYNAMICS OF SYMMETRIC POST-BUCKLING., International Journal of Mechanical Sciences, vol. 27 no. 4 (1985), pp. 235 - 248

Papers Accepted

  1. L.N. Virgin, S.T. Santillan and R.H. Plaut, Vibration isolation using extreme geometric nonlinearity, Journal of Sound and Vibration (2008)
  2. R.B. Davis, L.N. Virgin and A.M. Brown, Cylindrical shell submerged in bounded acoustic media: a modal approach, AIAA Journal (2007)