Publications of Lawrence N. Virgin

Books

  1. Wagg, D; Virgin, L, Exploiting Nonlinear Behavior in Structural Dynamics (April, 2012), pp. 280 pages, SPRINGER, ISBN 3709111862
  2. Virgin, L; Wagg, D, Preface, vol. 536 (January, 2012)
  3. Virgin, LN, Vibration of axially loaded structures (January, 2007), pp. 1-359, Cambridge University Press, ISBN 9780521880428
  4. Virgin, LN, Introduction to Experimental Nonlinear Dynamics A Case Study in Mechanical Vibration (March, 2000), pp. 272 pages, Cambridge University Press, ISBN 0521662869
  5. L.N. Virgin, Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press

Papers Published

  1. Virgin, LN; Susan Guan, Y; Plaut, RH, Curved structures that can elastically snap-through, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1 (January, 2019), pp. 275-277, ISBN 9783319742793
  2. Knight, JD; Virgin, LN; Plaut, RH, Predicting Critical Speeds in Rotordynamics: A New Method, Journal of Physics: Conference Series, vol. 744 no. 1 (October, 2016), pp. 012155-012155, IOP Publishing
  3. Virgin, LN; Wiebe, R; Spottswood, SM; Beberniss, T, Inferring unstable equilibrium configurations from experimental data, Journal of Physics: Conference Series, vol. 744 no. 1 (October, 2016), pp. 012090-012090, IOP Publishing
  4. Virgin, LN; Plaut, RH; Cartee, EV, The effect of gravity on a slender loop structure, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1 (January, 2016), pp. 185-190, Springer International Publishing, ISBN 9783319152202
  5. Detroux, T; Noël, JP; Kerschen, G; Virgin, LN, Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1 (January, 2016), pp. 229-235, Springer International Publishing, ISBN 9783319297385
  6. Nöel, JP; Detroux, T; Masset, L; Kerschen, G; Virgin, LN, Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system, Proceedings of the Asme Design Engineering Technical Conference, vol. 6 (January, 2015), ASME, ISBN 9780791857168
  7. Virgin, LN; Waite, JJ; Wiebe, R, Co-existing responses in a harmonically-excited nonlinear structural system, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2 (January, 2014), pp. 1-9, Springer International Publishing, ISSN 2191-5644, ISBN 9783319045214
  8. Virgin, LN; Plaut, RH, Some non-smooth dynamical systems in offshore mechanics, Lecture Notes in Applied and Computational Mechanics, vol. 44 (December, 2009), pp. 259-268, Springer Berlin Heidelberg, ISSN 1613-7736, ISBN 9783642006289
  9. Santillan, ST; Virgin, LN; Plaut, RH, Nonlinear two-dimensional elastica analysis of subsea risers, 7th European Conference on Structural Dynamics, Eurodyn 2008 (January, 2008), ISBN 9780854328826
  10. Nichols, JM; Moniz, L; Todd, MD; Trickey, ST; Seaver, M; Nichols, CJ; Virgin, LN, Detection of fastener preload loss in a hybrid composite-to-metal bolted joint, Structural Health Monitoring 2003: From Diagnostics and Prognostics to Structural Health Management Proceedings of the 4th International Workshop on Structural Health Monitoring, Iwshm 2003 (January, 2003), pp. 623-633, ISBN 1932078207
  11. VIRGIN, LAWRENCE; TRICKEY, STEPHEN; DOWELL, EARL, STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL, Proceedings of the 5th Experimental Chaos Conference (April, 2001), pp. 335-344, World Scientific, ISBN 9789810245610
  12. Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry, 19th Aiaa Applied Aerodynamics Conference (January, 2001)
  13. Virgin, LN; Begley, CJ, Nonlinear features in the dynamics of an impact-friction oscillator, edited by Broomhead, DS; Luchinskaya, EA; McClintock, PVE; Mullin, T, Aip Conference Proceedings, vol. 502 (January, 2000), pp. 469-475, AMER INST PHYSICS, ISSN 0094-243X, ISBN 1-56396-915-7
  14. Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, Nonlinear aeroelasticity of an airfoil with control surface freeplay, 35th Aerospace Sciences Meeting and Exhibit (January, 1997), ISBN 9780000000002
  15. Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, Nonlinear aeroelasticity of an airfoil with control surface freeplay, 35th Aerospace Sciences Meeting and Exhibit (January, 1997)
  16. MURPHY, KD; VIRGIN, LN; RIZZI, SA, FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS, edited by Ferguson, NS; Wolfe, HF; Mei, C, Structural Dynamics: Recent Advances Proceedings of the 5th International Conference, Vols I and Ii (January, 1994), pp. 401-411, INST SOUND VIBRATION RESEARCH
  17. BAYLY, PV; VIRGIN, LN; GOTTWALD, JA; DOWELL, EH, STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY, edited by Thompson, JMT; Bishop, SR, Nonlinearity and Chaos in Engineering Dynamics (January, 1994), pp. 59-70, JOHN WILEY & SONS LTD, ISBN 0-471-94458-0

Papers Published

  1. Maki, A; Virgin, LN; Umeda, N; Ueta, T; Miino, Y; Sakai, M; Kawakami, H, On the loss of stability of periodic oscillations and its relevance to ship capsize, Journal of Marine Science and Technology (Japan), vol. 24 no. 3 (September, 2019), pp. 846-854, Springer Nature America, Inc
  2. Xu, Y; Virgin, LN; Ross, SD, On experimentally locating saddle-points on a potential energy surface from observed dynamics, Mechanical Systems and Signal Processing, vol. 130 (September, 2019), pp. 152-163
  3. Harvey, PS; Virgin, LN; Tehrani, MH, Buckling of elastic columns with second-mode imperfections, Meccanica, vol. 54 no. 8 (June, 2019), pp. 1245-1255
  4. Ehrhardt, DA; Virgin, LN, Experiments on the thermal post-buckling of panels, including localized heating, Journal of Sound and Vibration, vol. 439 (January, 2019), pp. 300-309, Elsevier BV
  5. Guan, Y; Virgin, LN; Helm, D, Structural behavior of shallow geodesic lattice domes, International Journal of Solids and Structures, vol. 155 (December, 2018), pp. 225-239, Elsevier BV
  6. Zhong, J; Virgin, LN; Ross, SD, A tube dynamics perspective governing stability transitions: An example based on snap-through buckling, International Journal of Mechanical Sciences, vol. 149 (December, 2018), pp. 413-428, Elsevier BV
  7. Ross, SD; Bozorgmagham, AE; Naik, S; Virgin, LN, Experimental validation of phase space conduits of transition between potential wells, Physical Review. E, vol. 98 no. 5 (November, 2018)
  8. Virgin, LN, Enhancing the teaching of elastic buckling using additive manufacturing, Engineering Structures, vol. 174 (November, 2018), pp. 338-345, Elsevier BV
  9. Virgin, L, Tailored Buckling Constrained by Adjacent Members, Structures, vol. 16 (November, 2018), pp. 20-26, Elsevier BV
  10. Virgin, LN; Giliberto, JV; Plaut, RH, Deformation and vibration of compressed, nested, elastic rings on rigid base, Thin Walled Structures, vol. 132 (November, 2018), pp. 167-175, Elsevier BV
  11. Virgin, LN; Thompson, JMT, Applications of Bifurcation: Nonautonomous Periodically-Excited Systems, International Journal of Bifurcation and Chaos, vol. 28 no. 11 (October, 2018), pp. 1830035-1830035, World Scientific Pub Co Pte Lt
  12. Brzeski, P; Virgin, LN, System identification of energy dissipation in a mechanical model undergoing high velocities: An indirect use of perpetual points, Mechanical Systems and Signal Processing, vol. 108 (August, 2018), pp. 115-125, Elsevier BV
  13. Virgin, LN, Sympathetic resonance, American Journal of Physics, vol. 86 no. 6 (June, 2018), pp. 439-442
  14. Harvey, PS; Virgin, LN, Effect of stiffener geometry on the response of grid-stiffened panels, Journal of Engineering Mechanics, vol. 144 no. 2 (February, 2018), pp. 06017021-06017021, American Society of Civil Engineers (ASCE)
  15. Detroux, T; Noël, J-P; Virgin, LN; Kerschen, G, Experimental study of isolas in nonlinear systems featuring modal interactions., Plos One, vol. 13 no. 3 (January, 2018), pp. e0194452
  16. Virgin, L, Enhancing the teaching of structural dynamics using additive manufacturing, Engineering Structures, vol. 152 (December, 2017), pp. 750-757, Elsevier BV
  17. Brzeski, P; Virgin, LN, Experimental investigation of perpetual points in mechanical systems, Nonlinear Dynamics, vol. 90 no. 4 (December, 2017), pp. 2917-2928, Springer Nature
  18. Plaut, RH; Virgin, LN; Knight, JD, Predicting critical speeds in various rotordynamics problems, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 231 no. 21 (November, 2017), pp. 3913-3922, SAGE Publications
  19. Virgin, L, Enhancing the teaching of linear structural analysis using additive manufacturing, Engineering Structures, vol. 150 (November, 2017), pp. 135-142, Elsevier BV
  20. Plaut, RH; Virgin, LN, Snap-through under unilateral displacement control with constant velocity, International Journal of Non Linear Mechanics, vol. 94 (September, 2017), pp. 292-299, Elsevier BV
  21. Plaut, RH; Virgin, LN, Furthest reach of a uniform cantilevered elastica, Mechanics Research Communications, vol. 83 (July, 2017), pp. 18-21, Elsevier BV
  22. Virgin, LN; Guan, Y; Plaut, RH, On the geometric conditions for multiple stable equilibria in clamped arches, International Journal of Non Linear Mechanics, vol. 92 (June, 2017), pp. 8-14, Elsevier BV
  23. Virgin, L, On the flexural stiffness of 3D printer thermoplastic, International Journal of Mechanical Engineering Education, vol. 45 no. 1 (January, 2017), pp. 59-75, SAGE Publications
  24. Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible., In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987), vol. II, J.S. Chung; S. Berg; S.K. Chakrabart (January, 2017)
  25. Plaut, RH; Virgin, LN, Equilibria and vibration of a buckled beam with attached masses or spring–mass systems, Journal of Sound and Vibration, vol. 379 (September, 2016), pp. 166-176, Elsevier BV
  26. Wiebe, R; Virgin, LN, On the experimental identification of unstable static equilibria., Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 472 no. 2190 (June, 2016), pp. 20160172
  27. George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a non-smooth system, International Journal of Non Linear Mechanics, vol. 81 (May, 2016), pp. 55-64, Elsevier BV
  28. Virgin, LN; Knight, JD; Plaut, RH, A New Method for Predicting Critical Speeds in Rotordynamics, Journal of Engineering for Gas Turbines and Power, vol. 138 no. 2 (February, 2016), pp. 022504-022504, ASME International, ISSN 0742-4795
  29. Virgin, LN; George, C; Kini, A, Experiments on a non-smoothly-forced oscillator, Physica D: Nonlinear Phenomena, vol. 313 (December, 2015), pp. 1-10, Elsevier BV, ISSN 0167-2789
  30. Virgin, LN; Plaut, RH; Cartee, EV, Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation, Experimental Mechanics, vol. 55 no. 6 (July, 2015), pp. 1191-1197, Springer Nature, ISSN 0014-4851
  31. Virgin, LN, Comment on "mechanical properties of suspended graphene sheets" [J. Vac. Sci. Technol., B 25, 2558 (2007)], Journal of Vacuum Science & Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phenomena, vol. 33 no. 2 (March, 2015), pp. 023001-023001, American Vacuum Society, ISSN 2166-2746
  32. Hartzell, S; Bartlett, MS; Virgin, L; Porporato, A, Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing., Journal of Theoretical Biology, vol. 368 (March, 2015), pp. 83-94, ISSN 0022-5193
  33. Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Snap-Through Phenomenon and Self-Contact of Spatial Elastica Subjected to Mid-Torque, International Journal of Applied Mechanics, vol. 7 no. 4 (January, 2015), pp. 1550057-1550057, World Scientific Pub Co Pte Lt, ISSN 1758-8251
  34. Wiebe, R; Virgin, LN; Spottswood, SM, Stochastic interrogation of competing responses in a nonlinear distributed system, Nonlinear Dynamics, vol. 79 no. 1 (January, 2015), pp. 607-615, ISSN 0924-090X
  35. Harvey, PS; Virgin, LN, Coexisting equilibria and stability of a shallow arch: Unilateral displacement-control experiments and theory, International Journal of Solids and Structures, vol. 54 (January, 2015), pp. 1-11, ISSN 0020-7683
  36. Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753, ISSN 0022-460X
  37. Plaut, RH; Virgin, LN, Deformation and vibration of upright loops on a foundation and of hanging loops, International Journal of Solids and Structures, vol. 51 no. 18 (January, 2014), pp. 3067-3075, ISSN 0020-7683
  38. Waite, JJ; Virgin, LN; Wiebe, R, Competing responses in a discrete mechanical system, International Journal of Bifurcation and Chaos, vol. 24 no. 1 (January, 2014), pp. 1430003-1430003, World Scientific Pub Co Pte Lt, ISSN 0218-1274
  39. Virgin, LN; Wiebe, R; Spottswood, SM; Eason, TG, Sensitivity in the structural behavior of shallow arches, International Journal of Non Linear Mechanics, vol. 58 (January, 2014), pp. 212-221, Elsevier BV, ISSN 0020-7462
  40. Lyman, TC; Virgin, LN; Davis, RB, Application of continuation methods to uniaxially loaded postbuckled plates, Journal of Applied Mechanics, vol. 81 no. 3 (January, 2014), pp. 031010-031010, ASME International, ISSN 0021-8936
  41. Plaut, RH; Virgin, LN, Deformation and vibration of upright loops on a foundation and of hanging loops, International Journal of Solids and Structures, vol. 51 no. 18 (2014), pp. 3067-3075, Elsevier BV, ISSN 0020-7683
  42. Chandra, Y; Wiebe, R; Stanciulescu, I; Virgin, LN; Spottswood, SM; Eason, TG, Characterizing dynamic transitions associated with snap-through of clamped shallow arches, Journal of Sound and Vibration, vol. 332 no. 22 (October, 2013), pp. 5837-5855, Elsevier BV, ISSN 0022-460X
  43. Plaut, RH; Virgin, LN, Pendulum models of ponytail motion during walking and running, Journal of Sound and Vibration, vol. 332 no. 16 (August, 2013), pp. 3768-3780, Elsevier BV, ISSN 0022-460X
  44. Hunt, G; Virgin, L, Michael Thompson: some personal recollections., Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 371 no. 1993 (June, 2013), pp. 20120449, ISSN 1364-503X
  45. Virgin, LN; Wiebe, R, On damping in the vicinity of critical points., Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 371 no. 1993 (June, 2013), pp. 20120426, ISSN 1364-503X
  46. Wiebe, R; Virgin, LN; Stanciulescu, I; Spottswood, SM; Eason, TG, Characterizing dynamic transitions associated with snap-through: A discrete system, Journal of Computational and Nonlinear Dynamics, vol. 8 no. 1 (January, 2013), pp. 011010-011010, ASME International, ISSN 1555-1423
  47. Chandra, Y; Stanciulescu, I; Virgin, LN; Eason, TG; Spottswood, SM, A numerical investigation of snap-through in a shallow arch-like model, Journal of Sound and Vibration, vol. 332 no. 10 (January, 2013), pp. 2532-2548, Elsevier BV, ISSN 0022-460X
  48. Wiebe, R; Virgin, LN, A harmonic balance approximation of dynamic snap-through boundaries in a single-degree-of-freedom structure, Proceedings of the Asme Design Engineering Technical Conference, vol. 7 B (January, 2013), ASME
  49. Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration (2013), ISSN 0022-460X
  50. Olson, CC; Nichols, JM; Virgin, LN, Parameter estimation for chaotic systems using a geometric approach: Theory and experiment, Nonlinear Dynamics, vol. 70 no. 1 (October, 2012), pp. 381-391, Springer Nature, ISSN 0924-090X
  51. Lyman, TC; Virgin, LN; Davis, RB, Application of continuation methods to nonlinear post-buckled structures, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 3 (June, 2012), pp. 245-254, Springer New York, ISSN 2191-5644
  52. Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Stability of spatial elastica in a gravitational field, International Journal of Structural Stability and Dynamics, vol. 12 no. 2 (March, 2012), pp. 403-421, World Scientific Pub Co Pte Lt, ISSN 0219-4554
  53. Wiebe, R; Virgin, LN, A heuristic method for identifying chaos from frequency content., Chaos (Woodbury, N.Y.), vol. 22 no. 1 (March, 2012), pp. 013136, AIP Publishing, ISSN 1054-1500
  54. Wiebe, R; Virgin, LN; Witelski, TP, A parametrically forced nonlinear system with reversible equilibria, International Journal of Bifurcation and Chaos, vol. 22 no. 6 (January, 2012), pp. 1230020-1230020, World Scientific Pub Co Pte Lt, ISSN 0218-1274
  55. Wiebe, R; Virgin, LN; Stanciulescu, I; Spottswood, SM, On snap-through buckling, Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference (December, 2011), American Institute of Aeronautics and Astronautics, ISSN 0273-4508
  56. Wiebe, R; Virgin, LN, On the identification of chaos from frequency content, Proceedings of the Asme Design Engineering Technical Conference, vol. 4 no. PARTS A AND B (December, 2011), pp. 823-828
  57. Gao, L; Tahir, MA; Virgin, LN; Yellen, BB, Multiplexing superparamagnetic beads driven by multi-frequency ratchets., Lab on a Chip, vol. 11 no. 24 (December, 2011), pp. 4214-4220
  58. Santillan, ST; Virgin, LN, Numerical and experimental analysis of the static behavior of highly deformed risers, Ocean Engineering, vol. 38 no. 13 (September, 2011), pp. 1397-1402, Elsevier BV, ISSN 0029-8018
  59. Virgin, LN, A block rocking on a seesawing foundation, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2 (August, 2011), pp. 31-39, ISSN 2191-5644
  60. Tahir, MA; Gao, L; Virgin, LN; Yellen, BB, Transport of superparamagnetic beads through a two-dimensional potential energy landscape., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 84 no. 1 Pt 1 (July, 2011), pp. 011403, ISSN 1539-3755
  61. Virgin, LN; Lyman, TC, Structural dynamics of a frame including axial load effects, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 4 (July, 2011), pp. 119-124, ISSN 2191-5644
  62. Srivastava, R; Panovsky, J; Kielb, R; Virgin, L; Ekici, K, Nonlinear flutter in fan stator vanes with time dependent fixity, Journal of Turbomachinery, vol. 134 no. 2 (June, 2011)
  63. Plaut, RH; Virgin, LN, Optimal design of cantilevered elastica for minimum tip deflection under self-weight, Structural and Multidisciplinary Optimization, vol. 43 no. 5 (May, 2011), pp. 657-664, Springer Nature, ISSN 1615-147X
  64. Budd, C; Champneys, A; Lord, G; Virgin, L, Introduction to special issue on reflections in nonlinear mechanics, Ima Journal of Applied Mathematics, vol. 76 no. 1 (February, 2011), pp. 1, Oxford University Press (OUP), ISSN 0272-4960
  65. Gao, L; Tahir, MA; Virgin, LN; Yellen, BB, Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets, Lab on a Chip, vol. 11 no. 4214-4220 (2011)
  66. Tahir, MA; Guo, L; Virgin, LN; Yellen, BB, Transport of superparamagnetic beads through a two-dimensional potential energy landscape, Physical Review E, vol. 84 no. 011403 (2011), pp. 011403, ISSN 1539-3755
  67. Phungpaingam, B; Virgin, LN; Chucheepsakul, S, Stability of spatial elastica including weight effects, International Journal of Structural Stability and Dynamics, vol. 11 no. 6 (2011)
  68. Srivastava, R; Panovsky, J; Kielb, R; Virgin, L; Ekici, K, Non-linear flutter in fan stator vanes with time dependent fixity, Proceedings of the Asme Turbo Expo, vol. 6 no. PARTS A AND B (December, 2010), pp. 1189-1199, ASME, ISSN 0889-504X
  69. Gao, L; Gottron, NJ; Virgin, LN; Yellen, BB, The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet., Lab on a Chip, vol. 10 no. 16 (August, 2010), pp. 2108-2114, ISSN 1473-0197
  70. Santillan, ST; Virgin, LN; Plaut, RH, Static and dynamic behavior of highly deformed risers and pipelines, Journal of Offshore Mechanics and Arctic Engineering, vol. 132 no. 2 (May, 2010), pp. 1-6, ASME International, ISSN 0892-7219
  71. Virgin, LN; Lyman, TC; Davis, RB, Nonlinear dynamics of a ball rolling on a surface, American Journal of Physics, vol. 78 no. 3 (March, 2010), pp. 250-257, American Association of Physics Teachers (AAPT), ISSN 0002-9505
  72. Srivastava, R; Panovsky, J; Kielb, R; Virgin, L; Ekici, K, NON-LINEAR FLUTTER IN FAN STATOR VANES WITH TIME DEPENDENT FIXITY, Proceedings of the Asme Turbo Expo 2010, Vol 6, Pts a and B, vol. 134 no. 2 (January, 2010), pp. 1189-1199, AMER SOC MECHANICAL ENGINEERS, ISSN 0889-504X
  73. Plaut, RH; Virgin, LN, Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations, Structural and Multidisciplinary Optimization, vol. 40 no. 1-6 (January, 2010), pp. 157-164, Springer Nature, ISSN 1615-147X
  74. Santillan, ST; Virgin, LN; Plaut, RH, Dynamic behavior of highly-deformed risers and pipelines, Asme Journal of Offshore Mechanics and Arctic Engineering, vol. 132 (2010), pp. 021401
  75. Virgin, L; Holland, D, Effect of weight on the experimental modal analysis of slender cantilever beams, Proceedings of the Asme Design Engineering Technical Conference, vol. 1 no. PARTS A AND B (December, 2009), pp. 557-560
  76. Plaut, RH; Virgin, LN, Vibration and snap-through of bent elastica strips subjected to end rotations, Journal of Applied Mechanics, vol. 76 no. 4 (December, 2009), pp. 1-7, ASME International, ISSN 0021-8936
  77. Yellen, BB; Virgin, LN, Nonlinear dynamics of superparamagnetic beads in a traveling magnetic-field wave., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 80 no. 1 Pt 1 (July, 2009), pp. 011402, ISSN 1539-3755
  78. Yellen, B; Virgin, LN, Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave, Physical Review E, vol. 80 no. 011402 (2009), pp. 011402, ISSN 1539-3755
  79. Plaut, RH; Virgin, LN, Vibration and snap-through of bent elastica strips subjected to end rotations, Journal of Applied Mechanics, vol. 76 no. 041011 (2009), pp. 1-7, ISSN 0021-8936
  80. Santillan, ST; Plaut, RH; Witelski, TP; Virgin, LN, Large oscillations of beams and columns including self-weight, International Journal of Non Linear Mechanics, vol. 43 no. 8 (October, 2008), pp. 761-771, Elsevier BV, ISSN 0020-7462
  81. Virgin, LN; Santillan, ST; Plaut, RH, Vibration isolation using extreme geometric nonlinearity, Journal of Sound and Vibration, vol. 315 no. 3 (August, 2008), pp. 721-731, Elsevier BV, ISSN 0022-460X
  82. Holland, D; Virgin, L, Experimental modal analysis of solar sail booms, Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference (July, 2008), ISSN 0273-4508
  83. Virgin, LN; Dowell, EH; Flowers, G, Nonlinear Vibration (April, 2008), pp. 255-267, JOHN WILEY & SONS INC
  84. Davis, RB; Virgin, LN; Brown, AM, Cylindrical shell submerged in bounded acoustic media: A modal approach, Aiaa Journal, vol. 46 no. 3 (March, 2008), pp. 752-763, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0001-1452
  85. Jeffers, AE; Plaut, RH; Virgin, LN, Vibration isolation using buckled or pre-bent columns-Part 2: Three-dimensional motions of horizontal rigid plate, Journal of Sound and Vibration, vol. 310 no. 1-2 (February, 2008), pp. 421-432, Elsevier BV, ISSN 0022-460X
  86. Holland, DB; Virgin, LN; Plaut, RH, Large deflections and vibration of a tapered cantilever pulled at its tip by a cable, Journal of Sound and Vibration, vol. 310 no. 1-2 (February, 2008), pp. 433-441, Elsevier BV, ISSN 0022-460X
  87. Plaut, RH; Favor, HM; Jeffers, AE; Virgin, LN, Vibration isolation using buckled or pre-bent columns-Part 1: Two-dimensional motions of horizontal rigid bar, Journal of Sound and Vibration, vol. 310 no. 1-2 (February, 2008), pp. 409-420, Elsevier BV, ISSN 0022-460X
  88. 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
  89. Santillan, ST; Virgin, LN; Plaut, RH, Static and dynamic behavior of highly-deformed risers and pipelines, Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering Omae, vol. 3 (December, 2007), pp. 143-149, ASME
  90. Virgin, LN; Nichols, JM, An experimental nonlinear oscillator subject to two-frequency excitation, Conference Proceedings of the Society for Experimental Mechanics Series (December, 2007), ISSN 2191-5644
  91. Davis, RB; Virgin, LN; Brown, AM, Cylindrical shell submerged in bounded acoustic media: A modal approach, Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, vol. 5 (August, 2007), pp. 4871-4887
  92. Davis, RB; Virgin, LN, Non-linear behavior in a discretely forced oscillator, International Journal of Non Linear Mechanics, vol. 42 no. 5 (June, 2007), pp. 744-753, Elsevier BV, ISSN 0020-7462
  93. Stanciulescu, I; Virgin, LN; Laursen, TA, Slender solar sail booms: Finite element analysis, Journal of Spacecraft and Rockets, vol. 44 no. 3 (May, 2007), pp. 528-537, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0022-4650
  94. Virgin, LN; Santillan, ST; Holland, DB, Effect of gravity on the vibration of vertical cantilevers, Mechanics Research Communications, vol. 34 no. 3 (April, 2007), pp. 312-317, Elsevier BV, ISSN 0093-6413
  95. Todd, MD; Nichols, JM; Trickey, ST; Seaver, M; Nichols, CJ; Virgin, LN, Bragg grating-based fibre optic sensors in structural health monitoring., Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 365 no. 1851 (February, 2007), pp. 317-343, ISSN 1364-503X
  96. Stanciulescu, I; Virgin, LN; Laursen, TA, Finite element analysis of a slender isogrid structure, Journal of Spacecraft and Rockets, vol. 44 (2007), pp. 529-537
  97. Plaut, RH; Dillard, DA; Virgin, LN, Postbuckling of elastic columns with second-mode imperfection, Journal of Engineering Mechanics, vol. 132 no. 8 (August, 2006), pp. 898-901, American Society of Civil Engineers (ASCE), ISSN 0733-9399
  98. Holland, DB; Stanciulescu, I; Virgin, LN; Plaut, RH, Vibration and large deflection of cantilevered elastica compressed by angled cable, Aiaa Journal, vol. 44 no. 7 (July, 2006), pp. 1468-1476, American Institute of Aeronautics and Astronautics (AIAA), ISSN 0001-1452
  99. Santillan, ST; Virgin, LN; Plaut, RH, Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation, Journal of Applied Mechanics, vol. 73 no. 4 (July, 2006), pp. 664-671, ASME International, ISSN 0021-8936
  100. Chen, H; Virgin, LN, 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 (June, 2006), pp. 4008-4027, Elsevier BV, ISSN 0020-7683
  101. Chen, H; Virgin, LN, Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach, International Journal of Solids and Structures, vol. 43 no. 13 (June, 2006), pp. 3983-4007, Elsevier BV, ISSN 0020-7683
  102. Virgin, LN, A reflection on nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Journal of Computational and Nonlinear Dynamics, vol. 1 no. 4 (January, 2006), pp. 277-278, ASME International, ISSN 1555-1423
  103. 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
  104. Holland, DB; Stanciulescu, I; Virgin, LN; Plaut, RH, 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 (December, 2005), pp. 2130-2142, ISSN 0273-4508
  105. Stanciulescu, I; Virgin, LN; Laursen, TA, 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 (December, 2005), pp. 2121-2129, ISSN 0273-4508
  106. Plaut, RH; Alloway, LA; Virgin, LN, Nonlinear oscillations of a buckled mechanism used as a vibration isolator, Solid Mechanics and Its Applications, vol. 122 (December, 2005), pp. 241-250, ISSN 0925-0042
  107. Santillan, S; Virgin, LN; Plaut, RH, Equilibria and vibration of a heavy pinched loop, Journal of Sound and Vibration, vol. 288 no. 1-2 (November, 2005), pp. 81-90, Elsevier BV
  108. Xie, J; Ding, W; Dowell, EH; Virgin, LN, Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems, Acta Mechanica Sinica, vol. 21 no. 4 (August, 2005), pp. 402-410, Springer Nature, ISSN 0567-7718
  109. Plaut, RH; Sidbury, JE; Virgin, LN, Analysis of buckled and pre-bent fixed-end columns used as vibration isolators, Journal of Sound and Vibration, vol. 283 no. 3-5 (May, 2005), pp. 1216-1228, ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, ISSN 0022-460X
  110. Moniz, L; Nichols, JM; Nichols, CJ; Seaver, M; Trickey, ST; Todd, MD; Pecora, LM; Virgin, LN, A multivariate, attractor-based approach to structural health monitoring, Journal of Sound and Vibration, vol. 283 no. 1-2 (May, 2005), pp. 295-310, Elsevier BV
  111. Chen, H; Virgin, LN, Dynamic analysis of modal shifting and mode jumping in thermally buckled plates, Journal of Sound and Vibration, vol. 278 no. 1-2 (November, 2004), pp. 233-256, Elsevier BV, ISSN 0022-460X
  112. Todd, MD; Nichols, JM; Nichols, CJ; Virgin, LN, An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment, Journal of Sound and Vibration, vol. 275 no. 3-5 (August, 2004), pp. 1113-1126, Elsevier BV, ISSN 0022-460X
  113. Piiroinen, PT; Virgin, LN; Champneys, AR, Chaos and period-adding; experimental and numerical verification of the grazing bifurcation, Journal of Nonlinear Science, vol. 14 no. 4 (August, 2004), pp. 383-404, Springer Nature, ISSN 0938-8974
  114. Nichols, JM; Nichols, CJ; Todd, MD; Seaver, M; Trickey, ST; Virgin, LN, 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 (April, 2004), pp. 241-250, IOP Publishing
  115. Plaut, RH; Virgin, LN, Three-dimensional postbuckling and vibration of vertical half-loop under self-weight, International Journal of Solids and Structures, vol. 41 no. 18-19 (January, 2004), pp. 4975-4988, Elsevier BV
  116. Virgin, LN; Plaut, RH, Postbuckling and vibration of linearly elastic and softening columns under self-weight, International Journal of Solids and Structures, vol. 41 no. 18-19 (January, 2004), pp. 4989-5001, Elsevier BV
  117. Holland, DB; Virgin, LN; Belvin, WK, Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects, 44th Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics, and Materials Conference (December, 2003)
  118. Holland, DB; Virgin, LN; Belvin, WK, 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 (August, 2003), pp. 3192-3198
  119. Virgin, LN; Davis, RB, Vibration isolation using buckled struts [3], Journal of Sound and Vibration, vol. 260 no. 5 (March, 2003), pp. 965-973, Elsevier BV
  120. Nichols, JM; Todd, MD; Seaver, M; Virgin, LN, Use of chaotic excitation and attractor property analysis in structural health monitoring., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 Pt 2 (January, 2003), pp. 016209, ISSN 1539-3755
  121. Nichols, JM; Virgin, LN, System identification through chaotic interrogation, Mechanical Systems and Signal Processing, vol. 17 no. 4 (January, 2003), pp. 871-881, Elsevier BV
  122. Virgin, LN; Nichols, JM; Trickey, ST, A note on the response spectrum map, International Journal of Bifurcation and Chaos, vol. 13 no. 5 (January, 2003), pp. 1337-1341, World Scientific Pub Co Pte Lt
  123. Nichols, JM; Virgin, LN; Todd, MD; Nichols, JD, On the use of attractor dimension as a feature in structural health monitoring, Mechanical Systems and Signal Processing, vol. 17 no. 6 (January, 2003), pp. 1305-1320, Elsevier BV
  124. Nichols, JM; Todd, MD; Seaver, M; Virgin, LN, Use of chaotic excitation and attractor property analysis in structural health monitoring, Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 2 (January, 2003), pp. 162091-162098
  125. 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
  126. Nichols, JM; Trickey, ST; Todd, MD; Virgin, LN, Structural health monitoring through chaotic interrogation, Meccanica, vol. 38 no. 2 (2003), pp. 239-250
  127. Trickley, ST; Virgin, LN; Dowell, EH, The stability of limit-cycle oscillations in a nonlinear aeroelastic system, Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 458 no. 2025 (September, 2002), pp. 2203-2226, The Royal Society, ISSN 1364-5021
  128. Virgin, LN; Plaut, RH, Use of frequency data to predict secondary bifurcation, Journal of Sound and Vibration, vol. 251 no. 5 (April, 2002), pp. 919-926, Elsevier BV, ISSN 0022-460X
  129. Holland, DB; Virgin, LN; Tinker, ML; Slade, KN, 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 (January, 2002), pp. 507-516
  130. Todd, M; Seaver, M; Trickey, S; Nichols, J; Virgin, L, The use of a high-performance fiber optic measurement system in structural damage assessment, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 4753 I (January, 2002), pp. 167-173
  131. Todd, M; Trickey, S; Seaver, M; Nichols, J; Virgin, L, Structural damage assessment using chaotic dynamic interrogation, Asme International Mechanical Engineering Congress and Exposition, Proceedings (January, 2002), pp. 613-620, ASME
  132. Todd, M; Trickey, S; Seaver, M; Nichols, J; Virgin, L, Structural damage assessment using chaotic dynamic interrogation, American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) Dsc, vol. 71 (2002), pp. 613-620
  133. Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry, 19th Aiaa Applied Aerodynamics Conference, vol. 3 (December, 2001), pp. 1720-1728
  134. Virgin, LN; Nichols, JM; Simmons, WN; Plaut, RH, On the response of a shaken cable-suspended mass, Proceedings of the Asme Design Engineering Technical Conference, vol. 6 B (December, 2001), pp. 2109-2113
  135. Virgin, LN; Aldemir, U; Gavin, HP; Nichols, JM; Plaut, RH, An investigation of a rocking-sliding block, Proceedings of the Asme Design Engineering Technical Conference, vol. 6 B (December, 2001), pp. 1279-1283
  136. Nichols, JM; Virgin, LN; Gavin, HP, Damping estimates from experimental non-linear time-series, Journal of Sound and Vibration, vol. 246 no. 5 (October, 2001), pp. 815-827, Elsevier BV, ISSN 0022-460X
  137. Todd, MD; Nichols, JM; Pecora, LM; Virgin, LN, Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio, Smart Materials and Structures, vol. 10 no. 5 (October, 2001), pp. 1000-1008, IOP Publishing, ISSN 0964-1726
  138. Nichols, JM; Todd, MD; Virgin, LN; Pecora, LM, Vibration-based damage assessment using local attractor variance, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 4330 no. 1 (July, 2001), pp. 128-136, SPIE
  139. Donescu, P; Virgin, LN, 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 (June, 2001), pp. 379-412, WILEY, ISSN 0029-5981
  140. Slade, KN; Virgin, LN; Tinker, ML, 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 (January, 2001), pp. 1720-1728
  141. Todd, MD; Nichols, JM; Pecora, LM; Virgin, LN, Novel nonlinear feature identification in vibration-based damage detection using local attractor variance, Proceedings of the International Modal Analysis Conference Imac, vol. 1 (January, 2001), pp. 438-444
  142. Begley, CJ; Virgin, LN, On the OGY control of an impact-friction oscillator, Journal of Vibration and Control, vol. 7 no. 6 (January, 2001), pp. 923-931, SAGE Publications
  143. Nichols, JM; Virgin, LN, 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, ISSN 0924-090X
  144. Trickey, ST; Virgin, LN; Dowell, EH, Characterizing stability of responses in a nonlinear aeroelastic system, 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, vol. 1 no. I (December, 2000), pp. 57-62
  145. Trickey, ST; Virgin, LN; Dowell, EH, 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 (January, 2000), pp. 57-62
  146. Virgin, LN; Dowell, EH; Conner, MD, On the evolution of deterministic non-periodic behavior of an airfoil, International Journal of Non Linear Mechanics, vol. 34 no. 3 (January, 1999), pp. 499-514, Elsevier BV, ISSN 0020-7462
  147. Virgin, LN; Begley, CJ, Grazing bifurcations and basins of attraction in an impact-friction oscillator, Physica D: Nonlinear Phenomena, vol. 130 no. 1-2 (1999), pp. 43-57, Elsevier BV, ISSN 0167-2789
  148. Trickey, ST; Virgin, LN, Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator, Physics Letters A, vol. 248 no. 2-4 (November, 1998), pp. 185-190, Elsevier BV
  149. Hu, HY; Dowell, EH; Virgin, LN, Stability estimation of high dimensional vibrating systems under state delay feedback control, Journal of Sound and Vibration, vol. 214 no. 3 (July, 1998), pp. 497-511, Elsevier BV
  150. Begley, CJ; Virgin, LN, Impact response and the influence of friction, Journal of Sound and Vibration, vol. 211 no. 5 (April, 1998), pp. 801-818, Elsevier BV, ISSN 0022-460X
  151. Tang, D; Dowell, EH; Virgin, LN, Limit cycle behavior of an airfoil with a control surface, Journal of Fluids and Structures, vol. 12 no. 7 (January, 1998), pp. 839-858, Elsevier BV
  152. Hu, H; Dowell, EH; Virgin, LN, Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback, Nonlinear Dynamics, vol. 15 no. 4 (1998), pp. 311-327
  153. Virgin, LN; Todd, MD; Begley, CJ; Trickey, ST; Dowell, EH, Basins of attraction in experimental nonlinear oscillators, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 8 no. 3 (1998), pp. 521-533, World Scientific Pub Co Pte Lt
  154. Todd, MD; Virgin, LN, An experimental impact oscillator, Chaos, Solitons & Fractals, vol. 8 no. 4 (April, 1997), pp. 699-714, Elsevier BV, ISSN 0960-0779
  155. Begley, CJ; Virgin, LN, A detailed study of the low-frequency periodic beliavior of a dry friction oscillator, Journal of Dynamic Systems, Measurement, and Control, vol. 119 no. 3 (January, 1997), pp. 491-497, ASME International
  156. Slade, KN; Virgin, LN; Bayly, PV, Extracting information from interimpact intervals in a mechanical oscillator, Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 55 no. 3 (January, 1997), pp. 3705-3707
  157. Fielder, WT; Virgin, LN; Plaut, RH, Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation, European Journal of Mechanics A/Solids, vol. 16 no. 5 (January, 1997), pp. 905-923
  158. Todd, MD; Virgin, LN, An experimental verification of basin metamorphoses in a nonlinear mechanical system, International Journal of Bifurcation and Chaos, vol. 7 no. 6 (January, 1997), pp. 1337-1357, World Scientific Pub Co Pte Lt
  159. Conner, MD; Tang, DM; Dowell, EH; Virgin, LN, 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 (January, 1997), pp. 89-109, Elsevier BV
  160. Murphy, KD; Virgin, LN, The effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: Theory and experiment, Journal of Vibration and Acoustics, vol. 119 no. 2 (January, 1997), pp. 243-249, ASME International
  161. Todd, MD; Virgin, LN, An experimental impact oscillator, Chaos, Solitons & Fractals, vol. 8 no. 4 SPEC. ISS. (January, 1997), pp. 699-714
  162. 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
  163. Donescu, P; Virgin, LN, Free surface flow computation using a fully consistent method, American Society of Mechanical Engineers, Fluids Engineering Division (Publication) Fed, vol. 238 (December, 1996), pp. 421-426
  164. Slade, KN; Virgin, LN, Monitoring the behavior of an experimental impacting system, American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 90 (December, 1996), pp. 75-84
  165. Murphy, KD; Virgin, LN; Rizzi, SA, Characterizing the dynamic response of a thermally loaded, acoustically excited plate, Journal of Sound and Vibration, vol. 196 no. 5 (October, 1996), pp. 635-658, Elsevier BV
  166. Todd, MD; Virgin, LN, Natural frequency considerations of an impact oscillator, Journal of Sound and Vibration, vol. 194 no. 3 (July, 1996), pp. 452-460, Elsevier BV
  167. Donescu, P; Virgin, LN; Wu, JJ, Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics, Journal of Sound and Vibration, vol. 192 no. 5 (May, 1996), pp. 959-976, Elsevier BV
  168. Virgin, LN; Fielder, WT; Plaut, RH, Transient motion and overturning of a rocking block on a seesawing foundation, Journal of Sound and Vibration, vol. 191 no. 1 (March, 1996), pp. 177-187, Elsevier BV
  169. Conner, MD; Virgin, LN; Dowell, EH, Accurate numerical integration of state-space models for aeroelastic systems with free play, Aiaa Journal, vol. 34 no. 10 (January, 1996), pp. 2202-2205, American Institute of Aeronautics and Astronautics (AIAA)
  170. Conner, MD; Donescu, P; Virgin, LN, On the global convergence characteristics of numerically evaluated jacobian matrices: Technical note, Nonlinear Dynamics, vol. 10 no. 2 (January, 1996), pp. 165-174, Springer Nature America, Inc
  171. Donescu, P; Virgin, LN, Efficient determination of higher-order periodic solutions using n-mode harmonic balance, Ima Journal of Applied Mathematics, vol. 56 no. 1 (January, 1996), pp. 21-32, Oxford University Press (OUP)
  172. Todd, MD; Virgin, LN; Gottwald, JA, The nonstationary transition through resonance, Nonlinear Dynamics, vol. 10 no. 1 (January, 1996), pp. 31-48, Springer Nature
  173. Plaut, RH; Fielder, WT; Virgin, LN, Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation, Chaos, Solitons & Fractals, vol. 7 no. 2 (January, 1996), pp. 177-196, Elsevier BV
  174. Murphy, KD; Virgin, LN; Rizzi, SA, Experimental snap-through boundaries for acoustically excited, thermally buckled plates, Experimental Mechanics, vol. 36 no. 4 (January, 1996), pp. 312-317, Springer Nature
  175. 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
  176. Murphy, KD; Virgin, LN; Rizzi, SA, 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 (December, 1995), pp. 695-701
  177. Fielder, WT; Virgin, LN; Plaut, RH, Experiments on a rocking block, American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 84 no. 3 Pt A/1 (December, 1995), pp. 781-786
  178. Plaut, RH; Murphy, KD; Virgin, LN, CURVE AND SURFACE VEERING FOR A BRACED COLUMN, Journal of Sound and Vibration, vol. 187 no. 5 (November, 1995), pp. 879-885, Elsevier BV, ISSN 0022-460X
  179. Gottwald, JA; Virgin, LN; Dowell, EH, Routes to escape from an energy well, Journal of Sound and Vibration, vol. 187 no. 1 (October, 1995), pp. 133-144, Elsevier BV, ISSN 0022-460X
  180. Fielder, WT; Virgin, LN; Plaut, RH, Overturning of a rigid block under horizontal base excitation, Proceedings of Engineering Mechanics, vol. 1 (January, 1995), pp. 195-198
  181. Begley, CJ; Virgin, LN, A comparison of piecewise linear and continuous approximating models, Mechanics Research Communications, vol. 22 no. 6 (January, 1995), pp. 527-532, Elsevier BV, ISSN 0093-6413
  182. Virgin, LN; Walsh, TF; Knight, JD, Nonlinear behavior of a magnetic bearing system, Journal of Engineering for Gas Turbines and Power, vol. 117 no. 3 (January, 1995), pp. 582-588, ASME International
  183. 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 -
  184. Bayly, PV; Virgin, LN, Practical considerations in the control of chaos., Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 50 no. 1 (July, 1994), pp. 604-607, American Physical Society (APS), ISSN 1063-651X
  185. Murphy, KD; Bayly, PV; Virgin, LN; Gottwald, JA, 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 (April, 1994), pp. 85-102, Elsevier BV
  186. Virgin, LN; Murphy, KD, On the Behavior of Characteristic Multipliers Through a Period-Doubling Sequence, Journal of Sound and Vibration, vol. 169 no. 5 (February, 1994), pp. 699-703, Elsevier BV, ISSN 0022-460X
  187. Virgin, LN; Erickson, BK, A new approach to the overturning stability of floating structures, Ocean Engineering, vol. 21 no. 1 (January, 1994), pp. 67-80, Elsevier BV, ISSN 0029-8018
  188. Virgin, LN; Walsh, TF; Knight, JD, Nonlinear behavior of a magnetic bearing system, Proceedings of the Asme Turbo Expo, vol. 5 (January, 1994), pp. 1-7, ASME
  189. 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
  190. Virgin, LN; Plaut, RH, Effect Of Axial Load On Forced Vibrations Of Beams, Journal of Sound and Vibration, vol. 168 no. 3 (December, 1993), pp. 395-405, Elsevier BV
  191. Donescu, P; Virgin, LN, 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 (December, 1993), pp. 21-28
  192. Reynolds, RR; Dowell, EH; Tang, D; Virgin, LN, Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study, American Society of Mechanical Engineers, Aerospace Division (Publication) Ad, vol. 33 (December, 1993), pp. 9-12
  193. Reynolds, RR; Virgin, LN; Dowell, EH, High-dimensional chaos can lead to weak turbulence, Nonlinear Dynamics, vol. 4 no. 6 (December, 1993), pp. 531-546, Springer Nature
  194. Bayly, PV; Virgin, LN, On the stability of forced radial oscillations of an experimental spring pendulum, American Society of Mechanical Engineers, Design Engineering Division (Publication) De, vol. 56 (December, 1993), pp. 229-236, Albuquerque, NM, USA
  195. Bayly, PV; Virgin, LN, An Empirical Study of the Stability of Periodic Motion in the Forced Spring-Pendulum, Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 443 no. 1918 (November, 1993), pp. 391-408, The Royal Society, ISSN 1364-5021
  196. Bayly, PV; Virgin, LN, An experimental study of an impacting pendulum, Journal of Sound and Vibration, vol. 164 no. 2 (June, 1993), pp. 364-374, Elsevier BV
  197. Virgin, LN, Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol. 46 no. 5 (January, 1993), pp. 220-226, ASME International
  198. 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
  199. BAYLY, PHILIPV; VIRGIN, LAWRANCEN, EXPERIMENTAL EVIDENCE OF DIFFUSIVE DYNAMICS AND “RANDOM WALKING” IN A SIMPLE DETERMINISTIC MECHANICAL SYSTEM: THE SHAKEN PENDULUM, International Journal of Bifurcation and Chaos, vol. 02 no. 04 (December, 1992), pp. 983-988, World Scientific Pub Co Pte Lt
  200. Gottwald, JA; Virgin, LN; Dowell, EH, Experimental mimicry of Duffing's equation, Journal of Sound and Vibration, vol. 158 no. 3 (November, 1992), pp. 447-467, Elsevier BV, ISSN 0022-460X
  201. Virgin, LN; Plaut, RH; Cheng, CC, Prediction of escape from a potential well under harmonic excitation, International Journal of Non Linear Mechanics, vol. 27 no. 3 (January, 1992), pp. 357-365, Elsevier BV, ISSN 0020-7462
  202. Bayly, PV; Virgin, LN, Chaotic rattling of a piecewise nonlinear oscillator, American Society of Mechanical Engineers (Paper) (December, 1991), pp. 1-6
  203. Virgin, LN; Cartee, LA, A note on the escape from a potential well, International Journal of Non Linear Mechanics, vol. 26 no. 3-4 (January, 1991), pp. 449-452, Elsevier BV, ISSN 0020-7462
  204. Plaut, RH; Virgin, LN, Use of frequency data to predict buckling, Journal of Engineering Mechanics, vol. 116 no. 10 (January, 1990), pp. 2330-2335, American Society of Civil Engineers (ASCE)
  205. Virgin, LN; Bishop, SR, Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics, Journal of Offshore Mechanics and Arctic Engineering, vol. 112 no. 2 (January, 1990), pp. 127-133, ASME International
  206. Dowell, EH; Virgin, LN, On spatial chaos, asymptotic modal analysis, and turbulence, Journal of Applied Mechanics, vol. 57 no. 4 (January, 1990), pp. 1094-1097, ASME International, ISSN 0021-8936
  207. Virgin, LN, Approximate criterion for capsize based on deterministic dynamics, Dynamics and Stability of Systems, vol. 4 no. 1 (1989), pp. 55-70, Informa UK Limited
  208. Virgin, LN, On the harmonic response of an oscillator with unsymmetric restoring force, Journal of Sound and Vibration, vol. 126 no. 1 (October, 1988), pp. 157-165, Elsevier BV, ISSN 0022-460X
  209. Thompson, JMT; Virgin, LN, Spatial chaos and localization phenomena in nonlinear elasticity, Physics Letters A, vol. 126 no. 8-9 (January, 1988), pp. 491-496, Elsevier BV, ISSN 0375-9601
  210. Virgin, LN; Bishop, SR, CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS., Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, vol. 2 (January, 1988), pp. 15-22
  211. Virgin, LN; Bishop, SR, Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics., In: Omae 1988 Houston, Proc. 7th Int. Conf. on Offshore Mechanics and Arctic Engineering, (Houston, U.S.A.: Feb. 7 12, 1988),, vol. II, New York, U.S.A., Am. Soc. Mech. Eng (January, 1988), pp. 15-22
  212. Bishop, SR; Virgin, LN; Leung, DLM, On the computation of domains of attraction during the dynamic modelling of oscillating systems, Applied Mathematical Modelling, vol. 12 no. 5 (January, 1988), pp. 503-516, Elsevier BV, ISSN 0307-904X
  213. Virgin, LN; Bishop, SR, Complex dynamics and chaotic responses in the time domain simulations of a floating structure, Ocean Engineering, vol. 15 no. 1 (January, 1988), pp. 71-90, Elsevier BV, ISSN 0029-8018
  214. Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible, Journal of Offshore Mechanics and Arctic Engineering, vol. 110 no. 3 (January, 1988), pp. 205-209, ASME International
  215. Bishop, SR; Virgin, LN, The onset of chaotic motions of a moored semi-submersible., In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987), vol. II, J.S. Chung; S. Berg; S.K. Chakrabart no. 3 (1988), pp. 205-209
  216. Virgin, LN, The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas, Applied Ocean Research, vol. 9 no. 2 (January, 1987), pp. 89-95, Elsevier BV, ISSN 0141-1187
  217. Bishop, SR; Leung, LM; Virgin, LN, 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 (January, 1987), pp. 223-228, ASME International
  218. Bishop, SR; Virgin, LN, ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE., Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, vol. 2 (January, 1987), pp. 319-323
  219. Virgin, LN, 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, SAGE Publications
  220. Virgin, LN, Parametric studies of the dynamic evolution through a fold, Journal of Sound and Vibration, vol. 110 no. 1 (October, 1986), pp. 99-109, ISSN 0022-460X
  221. Thompson, JMT; Virgin, LN, Predicting a jump to resonance using transient maps and beats, International Journal of Non Linear Mechanics, vol. 21 no. 3 (January, 1986), pp. 205-216, Elsevier BV, ISSN 0020-7462
  222. Virgin, LN, Postbuckling dynamics of struts as related to their loading devices, Engineering Structures, vol. 8 no. 2 (January, 1986), pp. 127-133, Elsevier BV, ISSN 0141-0296
  223. Virgin, LN, The dynamics of symmetric post-buckling, International Journal of Mechanical Sciences, vol. 27 no. 4 (January, 1985), pp. 235-248, Elsevier BV, ISSN 0020-7403

Papers Accepted

  1. 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. T. Witelski, L.N. Virgin and C. George, A double impact pendulum system (2013)
  2. B. Phungpaingam, L. N. Virgin and S. Chucheepsakul, Snap-through phenomenon and self-contact of spatial elastica subjected to mid-torque (2011)