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Publications of Lawrie Virgin     :chronological  combined  bibtex listing:

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 [036]  [abs]
  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 [1.2165237]  [abs]
  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  [abs]
  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 [037]  [abs]
  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 [(ASCE)0733-9399(2006)132:8(898)]  [abs]
  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  [abs]
  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 [029]  [abs]
  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  [abs]
  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 [016]  [abs]
  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 [016]  [abs]
  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 [037]  [abs]
  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 [001]  [abs]
  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 [054]  [abs]
  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 [s00332-004-0616-y]  [abs]
  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 [023]  [abs]
  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 [014]  [abs]
  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  [abs]
  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 [1521]  [abs]
  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 [S0022-460X(02)01177-X]  [abs]
  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 [1.1612228]  [abs]
  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 [1471]  [abs]
  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 [A:1022898403359]  [abs]
  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 [1471]  [abs]
  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 [S0218127403007278]  [abs]
  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 [PhysRevE.67.016209]  [abs]
  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  [abs]
  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 [3906]
  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 [0965]  [abs]
  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 [12.434112]  [abs]
  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  [abs]
  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  [abs]
  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 [316]  [abs]
  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 [141]  [abs]
  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  [abs]
  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 [3653]  [abs]
  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  [abs]
  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 [A:1012923517945]  [abs]
  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  [abs]
  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  [abs]
  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  [abs]
  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 [1.1302423]  [abs]
  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 [S0167-2789(99)00016-0]  [abs]
  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 [S0375-9601(98)00665-3]  [abs]
  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 [0174]  [abs]
  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 [1389]  [abs]
  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 [S0020-7462(98)00038-9]  [abs]
  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 [A:1008278526811]  [abs]
  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 [1548]  [abs]
  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 [S0218127498000334]  [abs]
  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 [0068]  [abs]
  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 [3705]  [abs]
  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  [abs]
  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  [abs]
  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 [3705]  [abs]
  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 [S0218127497001060]  [abs]
  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  [abs]
  66. 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]
  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  [abs]
  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 [0370]  [abs]
  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 [0228]  [abs]
  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  [abs]
  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  [abs]
  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 [0506]  [abs]
  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 [0114]  [abs]
  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 - [0960-0779(95)00059-3]
  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  [abs]
  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  [abs]
  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  [abs]
  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 [0370]  [abs]
  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 [0570]  [abs]
  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 [0506]  [abs]
  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 - [0093-6413(95)00057-7]
  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  [abs]
  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 - [0506]
  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  [abs]
  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  [abs]
  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  [abs]
  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 [1042]  [abs]
  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  [abs]
  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 [1160]  [abs]
  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 [0029-8018(94)90030-2]  [abs]
  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 [604]  [abs]
  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 [1160]  [abs]
  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  [abs]
  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  [abs]
  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  [abs]
  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 [1220]  [abs]
  97. Virgin, L.N., Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol. 46 no. 5 (1993), pp. 220 - 226  [abs]
  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  [abs]
  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 [1382]  [abs]
  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  [abs]
  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 [1220]  [abs]
  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  [abs]
  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 [0022-460X(92)90419-X]  [abs]
  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  [abs]
  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 [0020-7462(91)90074-4]  [abs]
  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  [abs]
  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  [abs]
  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  [abs]
  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  [abs]
  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  [abs]
  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 [0307-904X(88)90088-1]  [abs]
  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 [0029-8018(88)90020-0]  [abs]
  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 [0022-460X(88)90405-1]  [abs]
  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 [0375-9601(88)90045-X]  [abs]
  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  [abs]
  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  [abs]
  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 [0141-1187(87)90011-3]  [abs]
  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  [abs]
  119. Virgin, L. N., POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES., Engineering Structures, vol. 8 no. 2 (1986), pp. 127 - 133  [abs]
  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 [0020-7462(86)90004-1]  [abs]
  121. Virgin, Lawrence N., DYNAMICS OF SYMMETRIC POST-BUCKLING., International Journal of Mechanical Sciences, vol. 27 no. 4 (1985), pp. 235 - 248 [0020-7403(85)90082-7]  [abs]

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)