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Publications of Lawrie Virgin    :chronological  alphabetical  combined  bibtex listing:

Books

  1. D.J. Wagg and L.N. Virgin, Exploiting Nonlinear Behavior in Structural Dynamics (2012), Springer

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. 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)

Papers Published

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  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. 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]
  36. 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]
  37. 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]
  38. 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]
  39. 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]
  40. 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]
  41. 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]
  42. 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]
  43. 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]
  44. 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]
  45. 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]
  46. 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]
  47. 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]
  48. 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]
  49. 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]
  50. 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]
  51. 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]
  52. 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]
  53. 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]
  54. 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]
  55. 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]
  56. 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]
  57. 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]
  58. 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]
  59. 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]
  60. 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]
  61. 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]
  62. 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]
  63. 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]
  64. 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]
  65. 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]
  66. 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]
  67. 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]
  68. 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]
  69. 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]
  70. 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]
  71. 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]
  72. 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]
  73. 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]
  74. 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]
  75. 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]
  76. 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]
  77. 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]
  78. 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]
  79. 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]
  80. 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]
  81. Virgin, L.N., Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol. 46 no. 5 (1993), pp. 220 - 226  [abs]
  82. 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]
  83. 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]
  84. 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]
  85. 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]
  86. 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]
  87. 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]
  88. 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]
  89. 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]
  90. 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]
  91. 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]
  92. 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]
  93. 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]
  94. 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]
  95. 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]
  96. 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]
  97. 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]
  98. 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]
  99. 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]
  100. 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]
  101. Virgin, L. N., POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES., Engineering Structures, vol. 8 no. 2 (1986), pp. 127 - 133  [abs]
  102. 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]
  103. 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. T.G. Lyman, L.N. Virgin and R.B. Davis, Application of continuation methods to uni-axially loaded post-buckled plates (2013)
  2. Y. Chandra, I. Stanciulescu, L.N. Virgin, R. Wiebe, T.G. Eason and S.M. Spottswood, Characterizing dynamic transitions associated with snap-through: A continuous model’, Journal of Sound and Vibration (2013)

Papers Submitted

  1. L.N. Virgin, R. Wiebe, S.M. Spottswood, and T.G. Eason, Sensitivity in the structural behavior of shallow arches (2013)
  2. J.J. Waite, L.N. Virgin and R. Wiebe, Competing responses in a discrete mechanical system (2013)
  3. T. Witelski, L.N. Virgin and C. George, A double impact pendulum system (2013)
  4. B. Phungpaingam, L. N. Virgin and S. Chucheepsakul, Snap-through phenomenon and self-contact of spatial elastica subjected to mid-torque (2011)