Lawrence N. Virgin

Publications

Books

  1. D.J. Wagg and L.N. Virgin, Exploiting Nonlinear Behavior in Structural Dynamics (2012), Springer.
  2. L.N. Virgin, Vibration of Axially Loaded Structures (2007), Cambridge University Press.
  3. L.N. Virgin, Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press.

Papers Published

  1. Y. Chandra, I. Stanciulescu, L.N. Virgin, T.G. Eason and S.M. Spottswood, A numerical investigation of snap-through in a shallow arch-like model, Journal of Sound and Vibration, vol 332 (2013), pp. 2532-2548.
  2. R. Wiebe, L.N. Virgin, I. Stanciulescu, S.M. Spottswood and T.G. Eason, Characterizing Dynamic Transitions Associated with Snap-Through: A Discrete System, ASME Journal of Computational and Nonlinear Dynamics, vol 8 no. 011010-1 (2013).
  3. G.W. Hunt and L.N. Virgin, Michael Thompson: Some personal recollections, Proceedings of the Royal Society of London, vol 371 (2013), pp. 20120449.
  4. 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.
  5. 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. 3768-3780.
  6. R. Srivastava, J. Panovsky, R. Kielb, L.N. Virgin and K. Ekici, Non-linear flutter in fan stator vanes with time dependent fixity, ASME Journal of Turbomachinery, vol 134 no. 021009 (2012).
  7. 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. 1-16.
  8. 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. 381-391.
  9. R. Wiebe and L.N. Virgin, A heuristic method for identifying chaos from frequency content, Chaos: An Interdisciplinary Journal, vol 22 no. 036136 (2012).
  10. L. Gao, M.A. Tahir, L.N. Virgin, and B.B. Yellen, Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets, Lab on a Chip, vol 11 no. 4214-4220 (2011).
  11. 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).
  12. 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. 1397-1402.
  13. M.A. Tahir, L. Guo, L.N. Virgin and B.B. Yellen, Transport of superparamagnetic beads through a two-dimensional potential energy landscape, Physical Review E, vol 84 no. 011403 (2011).
  14. R.H. Plaut and L.N. Virgin, Optimal design of cantilevered elastica for minimum tip deflection under self-weight, Structural and Multidisciplinary Optimization, vol 43 (2011), pp. 657-664.
  15. S.T. Santillan, L.N. Virgin, and R.H. Plaut, Dynamic behavior of highly-deformed risers and pipelines, ASME Journal of Offshore Mechanics and Arctic Engineering, vol 132 (2010), pp. 021401.
  16. L. Gao, N.J. Gottron, L N. Virgin and B.B. Yellen, The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet, Lab on a Chip, vol 10 (2010), pp. 2108-2114.
  17. 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. 157-164.
  18. 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. 250-257.
  19. R.H. Plaut and L.N. Virgin, Vibration and snap-through of bent elastica strips subjected to end rotations, Journal of Applied Mechanics, vol 76 no. 041011 (2009).
  20. B. Yellen and L.N. Virgin, Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave, Physical Review E, vol 80 no. 011402 (2009).
  21. S.T. Santillan, R.H. Plaut, T.P. Witelski and L.N. Virgin, Large amplitude oscillations of beams and columns including self-weight, International Journal of Nonlinear Mechanics, vol 43 (2008), pp. 761-771.
  22. 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.
  23. 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. 752-763.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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 [036] [abs].
  33. 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 [1.2165237] [abs].
  34. 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].
  35. H. Chen and L.N. Virgin, 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 [037] [abs].
  36. R.H. Plaut, D.A. Dillard, and L.N. Virgin, Postbuckling of elastic columns with second-mode imperfection, Journal of Engineering Mechanics, vol 132 no. 8 (2006), pp. 898 - 901 [(ASCE)0733-9399(2006)132:8(898)] [abs].
  37. 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.
  38. 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 [029] [abs].
  39. J. Xie, W. Ding, E.H. Dowell and L.N. Virgin, 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 [abs].
  40. 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 [016] [abs].
  41. 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 [016] [abs].
  42. 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 [037] [abs].
  43. 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 [001] [abs].
  44. 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 [054] [abs].
  45. 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 [s00332-004-0616-y] [abs].
  46. 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 [023] [abs].
  47. 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 [014] [abs].
  48. 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].
  49. 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 [S0022-460X(02)01177-X] [abs].
  50. 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].
  51. 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].
  52. 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].
  53. 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].
  54. 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].
  55. 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].
  56. 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 [0965] [abs].
  57. 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 [316] [abs].
  58. 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 [141] [abs].
  59. 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 [abs].
  60. 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 [3653] [abs].
  61. 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 [A:1012923517945] [abs].
  62. 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 [S0167-2789(99)00016-0] [abs].
  63. 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 [S0375-9601(98)00665-3] [abs].
  64. 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].
  65. 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].
  66. 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 [S0020-7462(98)00038-9] [abs].
  67. 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].
  68. 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].
  69. 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].
  70. 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].
  71. 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 [3705] [abs].
  72. 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].
  73. 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].
  74. 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].
  75. 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].
  76. 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].
  77. Todd, M.D. and Virgin, L.N., An experimental impact oscillator, Chaos Solitons Fractals (UK), vol 8 no. 4 (1997), pp. 699 - 714 [S0960-0779(96)00112-9] [abs].
  78. 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 [abs].
  79. 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].
  80. 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].
  81. P. Donescu and L.N. Virgin, 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 [abs].
  82. 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].
  83. 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].
  84. 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 - [0960-0779(95)00059-3].
  85. 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].
  86. 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].
  87. 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].
  88. 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].
  89. 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].
  90. 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 - [0093-6413(95)00057-7].
  91. 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].
  92. 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].
  93. 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 [1042] [abs].
  94. 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 [1160] [abs].
  95. 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 [0029-8018(94)90030-2] [abs].
  96. 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].
  97. 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].
  98. 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 [abs].
  99. R. Reynolds, L.N. Virgin and E.H. Dowell, High-dimensional chaos cab lead to weak turbulence, Nonlinear Dynamics, vol 4 no. 6 (1993), pp. 531 - 546 [abs].
  100. 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].
  101. Virgin, L.N., Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol 46 no. 5 (1993), pp. 220 - 226 [abs].
  102. 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].
  103. 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 [abs].
  104. 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].
  105. 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].
  106. 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 [0022-460X(92)90419-X] [abs].
  107. L.N. Virgin and L.A. Cartee, Note on the escape from a potential well, International Journal of Non-Linear Mechanics, vol 26 no. 3-4 (1991), pp. 449 - 452 [0020-7462(91)90074-4] [abs].
  108. 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].
  109. 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].
  110. 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].
  111. 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].
  112. 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 [abs].
  113. 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 [0307-904X(88)90088-1] [abs].
  114. 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 [0029-8018(88)90020-0] [abs].
  115. 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 [0022-460X(88)90405-1] [abs].
  116. 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 [0375-9601(88)90045-X] [abs].
  117. 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 [abs].
  118. 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 [abs].
  119. 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 [0141-1187(87)90011-3] [abs].
  120. 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].
  121. Virgin, L. N., POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES., Engineering Structures, vol 8 no. 2 (1986), pp. 127 - 133 [abs].
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