publications by Lawrence N. Virgin.


Books

  1. Virgin, LN, Introduction to experimental nonlinear dynamics: A case study in mechanical vibration (January, 2019), pp. 1-256, Cambridge University Press [doi]  [abs].
  2. Wagg, D; Virgin, L, Exploiting Nonlinear Behavior in Structural Dynamics (April, 2012), pp. 280 pages, SPRINGER  [abs].
  3. Virgin, L; Wagg, D, Preface, vol. 536 (January, 2012) .
  4. Virgin, LN, Vibration of axially loaded structures (January, 2007), pp. 1-359, Cambridge University Press [doi]  [abs].
  5. L.N. Virgin, Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press .

Papers Published

  1. Virgin, LN; Harvey, PS, A lateral–torsional buckling demonstration model using 3D printing, Engineering Structures, vol. 280 (April, 2023) [doi]  [abs].
  2. Cooley, SA; Yang, H; Virgin, LN, 3D-printing and cylinder buckling: challenges and opportunities., Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 381 no. 2244 (April, 2023), pp. 20220035 [doi]  [abs].
  3. Virgin, LN, On the elastic snapping of structural elements, International Journal of Non Linear Mechanics, vol. 149 (March, 2023) [doi]  [abs].
  4. Cervi, C; Santillan, ST; Virgin, LN, Interrogating the Configuration Space of Postbuckled Beams, Journal of Engineering Mechanics, vol. 149 no. 3 (March, 2023) [doi]  [abs].
  5. Virgin, LN, A shear center demonstration model using 3D-printing, International Journal of Mechanical Engineering Education, vol. 50 no. 3 (July, 2022), pp. 739-748 [doi]  [abs].
  6. Virgin, LN, Interrogating the Lead-Up to a Critical Speed in Rotordynamics, Journal of Vibration and Acoustics, vol. 144 no. 3 (June, 2022) [doi]  [abs].
  7. Virgin, LN; Holland, DB, Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers, Mechanical Systems and Signal Processing, vol. 164 (February, 2022) [doi]  [abs].
  8. Virgin, LN, A note on lumped parameter modeling, Mechanics Research Communications, vol. 116 (September, 2021) [doi]  [abs].
  9. Virgin, L, Simultaneous buckling, contact, and load-carrying capacity, Journal of Engineering Mechanics, vol. 147 no. 5 (May, 2021) [doi]  [abs].
  10. Virgin, LN; Plaut, RH, Large deflections of folded cantilever: Experiments and elastica analysis, International Journal of Non Linear Mechanics, vol. 129 (March, 2021) [doi]  [abs].
  11. Guan, Y; Virgin, LN, A Pyramidal Lattice Frame: Pathways to Inversion, International Journal of Structural Stability and Dynamics, vol. 21 no. 2 (February, 2021) [doi]  [abs].
  12. Xu, Y; Virgin, LN; Wiebe, R, Inferring unstable equilibrium configurations from observed dynamics, Conference Proceedings of the Society for Experimental Mechanics Series (January, 2021), pp. 199-201 [doi]  [abs].
  13. Xu, Y; Virgin, LN, Force probing to access potential energy, Conference Proceedings of the Society for Experimental Mechanics Series (January, 2021), pp. 55-57 [doi]  [abs].
  14. Ehrhardt, D; Virgin, LN; Spottswood, SM, Experiments on probing the configuration space of post-buckled panels, Journal of Applied Mechanics, vol. 87 no. 12 (December, 2020) [doi]  [abs].
  15. Virgin, LN, Comparative structural stiffness: Exploiting 3D-printing, American Journal of Physics, vol. 88 no. 12 (December, 2020), pp. 1049-1058 [doi]  [abs].
  16. Guan, Y; Virgin, LN, Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study, International Journal of Bifurcation and Chaos, vol. 30 no. 9 (July, 2020) [doi]  [abs].
  17. 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, 2020)  [abs].
  18. Thompson, JMT; Virgin, LN, Instabilities of nonconservative fluid-loaded systems, International Journal of Bifurcation and Chaos, vol. 29 no. 14 (December, 2019) [doi]  [abs].
  19. Xu, Y; Virgin, LN, Probing the force field to identify potential energy, Journal of Applied Mechanics, vol. 86 no. 10 (October, 2019) [doi]  [abs].
  20. 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 [doi]  [abs].
  21. 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 [doi]  [abs].
  22. Harvey, PS; Virgin, LN; Tehrani, MH, Buckling of elastic columns with second-mode imperfections, Meccanica, vol. 54 no. 8 (June, 2019), pp. 1245-1255 [doi]  [abs].
  23. 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 [doi]  [abs].
  24. 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 [doi]  [abs].
  25. 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 [doi]  [abs].
  26. 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 [doi]  [abs].
  27. 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) [doi]  [abs].
  28. Virgin, LN, Enhancing the teaching of elastic buckling using additive manufacturing, Engineering Structures, vol. 174 (November, 2018), pp. 338-345, Elsevier BV [doi]  [abs].
  29. Virgin, L, Tailored Buckling Constrained by Adjacent Members, Structures, vol. 16 (November, 2018), pp. 20-26, Elsevier BV [doi]  [abs].
  30. 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 [doi]  [abs].
  31. 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 [doi]  [abs].
  32. 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 [doi]  [abs].
  33. Virgin, LN, Sympathetic resonance, American Journal of Physics, vol. 86 no. 6 (June, 2018), pp. 439-442 [doi]  [abs].
  34. 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) [doi]  [abs].
  35. 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 [doi]  [abs].
  36. Virgin, L, Enhancing the teaching of structural dynamics using additive manufacturing, Engineering Structures, vol. 152 (December, 2017), pp. 750-757, Elsevier BV [doi]  [abs].
  37. 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 [doi]  [abs].
  38. 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 [doi]  [abs].
  39. Virgin, L, Enhancing the teaching of linear structural analysis using additive manufacturing, Engineering Structures, vol. 150 (November, 2017), pp. 135-142, Elsevier BV [doi]  [abs].
  40. 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 [doi]  [abs].
  41. Plaut, RH; Virgin, LN, Furthest reach of a uniform cantilevered elastica, Mechanics Research Communications, vol. 83 (July, 2017), pp. 18-21, Elsevier BV [doi]  [abs].
  42. 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 [doi]  [abs].
  43. 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 [doi]  [abs].
  44. 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)  [abs].
  45. 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 [doi]  [abs].
  46. 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 [doi]  [abs].
  47. 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 [doi]  [abs].
  48. 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 [doi]  [abs].
  49. 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 [doi]  [abs].
  50. 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 [doi]  [abs].
  51. 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 [doi]  [abs].
  52. 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 [doi]  [abs].
  53. 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 [doi]  [abs].
  54. 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 (August, 2015), pp. 1550057-1550057, World Scientific Pub Co Pte Lt [doi]  [abs].
  55. 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 [doi]  [abs].
  56. 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 [doi] .
  57. 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 [doi]  [abs].
  58. 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 (February, 2015), pp. 1-11 [doi]  [abs].
  59. 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 [doi]  [abs].
  60. 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 [doi]  [abs].
  61. 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 [doi]  [abs].
  62. 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 [doi]  [abs].
  63. 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 [doi]  [abs].
  64. 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 [doi]  [abs].
  65. 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 [doi]  [abs].
  66. 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 [doi]  [abs].
  67. 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 [doi] .
  68. 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 [doi]  [abs].
  69. 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 [doi]  [abs].
  70. 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 [doi] .
  71. 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 [23690637], [doi]  [abs].
  72. 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 [Gateway.cgi], [doi]  [abs].
  73. 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 [doi]  [abs].
  74. 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 [doi]  [abs].
  75. Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration (2013) .
  76. 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 [doi]  [abs].
  77. 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 [doi]  [abs].
  78. 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 [doi]  [abs].
  79. 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 [22463012], [doi]  [abs].
  80. 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 [doi]  [abs].
  81. 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 [doi]  [abs].
  82. 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 [doi]  [abs].
  83. 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 [22038314], [doi]  [abs].
  84. 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 [doi]  [abs].
  85. 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 [doi]  [abs].
  86. 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) [doi]  [abs].
  87. 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 [doi]  [abs].
  88. 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) [doi] .
  89. Virgin, LN; Lyman, TC, Structural dynamics of a frame including axial load effects, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 4 (January, 2011), pp. 119-124 [doi]  [abs].
  90. Virgin, LN, A block rocking on a seesawing foundation, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2 (January, 2011), pp. 31-39 [doi]  [abs].
  91. 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) .
  92. Srivastava, R; Panovsky, J; Kielb, R; Virgin, LN; Ekici, K, Non-linear flutter in fan stator vanes with time dependent fixity, Asme Journal of Turbomachinery, vol. 134 no. 021009 (2011), pp. 1189-1199, AMER SOC MECHANICAL ENGINEERS [doi]  [abs].
  93. 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 [21867167], [doi]  [abs].
  94. 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) .
  95. 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 [doi]  [abs].
  96. 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 [20556295], [doi]  [abs].
  97. 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 [doi]  [abs].
  98. 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) [doi]  [abs].
  99. 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 [doi]  [abs].
  100. 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 .
  101. 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 [Gateway.cgi], [doi] .
  102. 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 [doi]  [abs].
  103. 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 [doi]  [abs].
  104. 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 [doi]  [abs].
  105. 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 [19658704], [doi]  [abs].
  106. 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 [doi]  [abs].
  107. 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 [doi]  [abs].
  108. 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 [doi]  [abs].
  109. 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)  [abs].
  110. Virgin, LN; Dowell, EH; Flowers, G, Nonlinear Vibration (April, 2008), pp. 255-267, JOHN WILEY & SONS INC [doi] .
  111. 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) [doi]  [abs].
  112. 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 [doi]  [abs].
  113. 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 [doi]  [abs].
  114. 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 [doi]  [abs].
  115. Santillan, ST; Virgin, LN; Plaut, RH, Nonlinear two-dimensional elastica analysis of subsea risers, 7th European Conference on Structural Dynamics, Eurodyn 2008 (January, 2008)  [abs].
  116. 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 .
  117. 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 [doi]  [abs].
  118. Virgin, LN; Nichols, JM, An experimental nonlinear oscillator subject to two-frequency excitation, Conference Proceedings of the Society for Experimental Mechanics Series (December, 2007)  [abs].
  119. 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 [doi]  [abs].
  120. 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 [doi]  [abs].
  121. 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 [doi]  [abs].
  122. Stanciulescu, I; Virgin, LN; Laursen, TA, Slender solar sail booms: Finite element analysis, Journal of Spacecraft and Rockets, vol. 44 no. 3 (January, 2007), pp. 528-537, American Institute of Aeronautics and Astronautics (AIAA) [doi]  [abs].
  123. 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 (January, 2007), pp. 4871-4887 [doi]  [abs].
  124. 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 .
  125. 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) [doi]  [abs].
  126. 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 [1.2165237], [doi]  [abs].
  127. 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 [037], [doi]  [abs].
  128. 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 [036], [doi]  [abs].
  129. 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 [Gateway.cgi], [doi] .
  130. 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 .
  131. Plaut, RH; Dillard, DA; Virgin, LN, Postbuckling of elastic columns with second-mode imperfection, Journal of Engineering Mechanics, vol. 132 no. 8 (2006), pp. 898-901, American Society of Civil Engineers (ASCE) [(ASCE)0733-9399(2006)132:8(898)], [doi]  [abs].
  132. 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  [abs].
  133. 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 [016], [doi]  [abs].
  134. 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 [doi]  [abs].
  135. 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 [Gateway.cgi], [doi]  [abs].
  136. 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 [016], [doi]  [abs].
  137. Plaut, RH; Alloway, LA; Virgin, LN, Nonlinear oscillations of a buckled mechanism used as a vibration isolator, Solid Mechanics and Its Applications, vol. 122 (January, 2005), pp. 241-250 [doi]  [abs].
  138. 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 (January, 2005), pp. 2121-2129 [doi] .
  139. 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 [054], [doi]  [abs].
  140. 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 [037], [doi]  [abs].
  141. 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 [s00332-004-0616-y], [doi]  [abs].
  142. 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 [001], [doi]  [abs].
  143. 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 [014], [doi]  [abs].
  144. 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 [023], [doi]  [abs].
  145. 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)  [abs].
  146. Todd, MD; Nichols, J; Seaver, M; Trickey, S; Virgin, L; Pecora, L; Carroll, T, Development and application of chaotic attractor property analysis for vibration-based structural damage assessment, Aip Conference Proceedings, vol. 676 (August, 2003), pp. 315-326 [doi]  [abs].
  147. Nichols, JM; Trickey, ST; Todd, MD; Virgin, LN, Structural health monitoring through chaotic interrogation, Meccanica, vol. 38 no. 2 (April, 2003), pp. 239-250 [A:1022898403359], [doi]  [abs].
  148. 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 [S0022-460X(02)01177-X], [doi]  [abs].
  149. 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  [abs].
  150. 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 (January, 2003), pp. 3192-3198 [doi]  [abs].
  151. 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 [1471], [doi]  [abs].
  152. 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 [Gateway.cgi], [doi]  [abs].
  153. 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 [S0218127403007278], [doi]  [abs].
  154. 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 [1521], [doi]  [abs].
  155. 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  [abs].
  156. 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].
  157. 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 [0965], [doi]  [abs].
  158. 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 [3906], [doi] .
  159. 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 [doi]  [abs].
  160. 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  [abs].
  161. 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 [doi]  [abs].
  162. 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 [doi]  [abs].
  163. 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  [abs].
  164. 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  [abs].
  165. 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  [abs].
  166. 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 [3653], [doi]  [abs].
  167. 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 [316], [doi]  [abs].
  168. 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 (September, 2001), pp. 67-86 [A:1012923517945], [doi]  [abs].
  169. 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 [doi]  [abs].
  170. 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 [141], [doi]  [abs].
  171. VIRGIN, L; TRICKEY, S; DOWELL, E, STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL, Proceedings of the 5th Experimental Chaos Conference (April, 2001), pp. 335-344, World Scientific [Gateway.cgi], [doi] .
  172. Slade, KN; Virgin, LN; Tinker, ML, Mode splitting in an inflated polyimide cylinder with circumferential asymmetry, 19th Aiaa Applied Aerodynamics Conference (January, 2001) [doi]  [abs].
  173. 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  [abs].
  174. 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  [abs].
  175. 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 [doi]  [abs].
  176. 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  [abs].
  177. 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 [Gateway.cgi] .
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  179. 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  [abs].
  180. 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 [S0020-7462(98)00038-9], [doi]  [abs].
  181. 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 [Gateway.cgi], [doi]  [abs].
  182. 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 [S0375-9601(98)00665-3], [doi]  [abs].
  183. 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 [1548], [doi]  [abs].
  184. 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 [1389], [doi]  [abs].
  185. Hu, H; Dowell, EH; Virgin, LN, Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback, Nonlinear Dynamics, vol. 15 no. 4 (January, 1998), pp. 311-327 [A:1008278526811], [doi]  [abs].
  186. 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 [0174], [doi]  [abs].
  187. 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 [S0218127498000334], [doi]  [abs].
  188. 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)  [abs].
  189. 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)  [abs].
  190. 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 [doi]  [abs].
  191. 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 [3705], [doi]  [abs].
  192. 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  [abs].
  193. 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 [S0218127497001060], [doi]  [abs].
  194. 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 [0068], [doi]  [abs].
  195. Todd, MD; Virgin, LN, An experimental impact oscillator, Chaos, Solitons & Fractals, vol. 8 no. 4 SPEC. ISS. (January, 1997), pp. 699-714 [doi]  [abs].
  196. 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].
  197. Murphy, KD; Virgin, LN; Rizzi, SA, 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. 243-249, ASME International [doi]  [abs].
  198. 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  [abs].
  199. 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  [abs].
  200. 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 [0370], [doi]  [abs].
  201. 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 [0228], [doi]  [abs].
  202. 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 [0114], [doi]  [abs].
  203. 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) [doi] .
  204. 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 [doi]  [abs].
  205. 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) [doi]  [abs].
  206. Todd, MD; Virgin, LN; Gottwald, JA, The nonstationary transition through resonance, Nonlinear Dynamics, vol. 10 no. 1 (January, 1996), pp. 31-48, Springer Nature [doi]  [abs].
  207. 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 [0960-0779(95)00059-3], [doi]  [abs].
  208. 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].
  209. 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 (1996), pp. 635-658, Elsevier BV [0506], [doi]  [abs].
  210. Murphy, KD; Virgin, LN; Rizzi, SA, Experimental snap-through boundaries for acoustically excited, thermally buckled plates, Experimental Mechanics, vol. 36 no. 4 (1996), pp. 312-317, Springer Nature [doi]  [abs].
  211. 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  [abs].
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  213. 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 [0506], [doi]  [abs].
  214. Murphy, KD; Virgin, LN; Rizzi, SA, An experimental study of the forced response of pre- And post-critical plates, Proceedings of the Asme Design Engineering Technical Conference, vol. 3A-1995 (January, 1995), pp. 695-701 [doi]  [abs].
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  216. 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  [abs].
  217. 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 [0093-6413(95)00057-7], [doi] .
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  220. Virgin, LN; Walsh, TF; Knight, JD, Nonlinear behavior of a magnetic bearing system, Trans. Asme, J. Eng. Gas Turbines Power (Usa), vol. 117 no. 3 (1995), pp. 582-588, ASME International [doi]  [abs].
  221. 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) [604], [doi]  [abs].
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  225. 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 [doi]  [abs].
  226. 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].
  227. 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 (1994), pp. 85-102, Elsevier BV [1160], [doi]  [abs].
  228. Virgin, LN; Murphy, KD, On the behavior of characteristic multipliers through a period-doubling sequence, Journal of Sound and Vibration, vol. 169 no. 5 (1994), pp. 699-703, Elsevier BV [1042], [doi]  [abs].
  229. 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 [1382], [doi]  [abs].
  230. 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  [abs].
  231. 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  [abs].
  232. 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 [doi]  [abs].
  233. 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  [abs].
  234. Bayly, PV; Virgin, LN, An empirical study of the stability of periodic motion in the forced spring-pendulum, Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, vol. 443 no. 1918 (November, 1993), pp. 391-408, The Royal Society [Gateway.cgi], [doi]  [abs].
  235. 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 [1220], [doi]  [abs].
  236. Bayly, PV; Virgin, LN, On the stability of forced radial oscillations of an experimental spring pendulum, Proceedings of the Asme Design Engineering Technical Conference, vol. Part F167972-5 (January, 1993), pp. 229-236 [doi]  [abs].
  237. 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].
  238. Virgin, LN, Dynamic characteristics of deteriorating engineering structures, Applied Mechanics Reviews, vol. 46 no. 5 (1993), pp. 220-226, ASME International [doi]  [abs].
  239. 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 [0022-460X(92)90419-X], [doi]  [abs].
  240. 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 [doi]  [abs].
  241. Bayly, PV; Virgin, LN, 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. 983-988, World Scientific Pub Co Pte Lt [doi]  [abs].
  242. Bayly, PV; Virgin, LN, Chaotic rattling of a piecewise nonlinear oscillator, American Society of Mechanical Engineers (Paper) (December, 1991), pp. 1-6  [abs].
  243. 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 [0020-7462(91)90074-4], [doi]  [abs].
  244. 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) [doi]  [abs].
  245. 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 [doi]  [abs].
  246. 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 [Gateway.cgi], [doi]  [abs].
  247. 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 [doi]  [abs].
  248. 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 [0022-460X(88)90405-1], [doi]  [abs].
  249. 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 [0375-9601(88)90045-X], [doi]  [abs].
  250. 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  [abs].
  251. 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  [abs].
  252. 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 [0307-904X(88)90088-1], [doi]  [abs].
  253. 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 [0029-8018(88)90020-0], [doi]  [abs].
  254. 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 [doi]  [abs].
  255. 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 [0141-1187(87)90011-3], [doi]  [abs].
  256. 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 [doi]  [abs].
  257. 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 (January, 1987), pp. 205-209  [abs].
  258. 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  [abs].
  259. 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 [doi]  [abs].
  260. 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 [doi]  [abs].
  261. 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 [0020-7462(86)90004-1], [doi]  [abs].
  262. 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 [doi]  [abs].
  263. Virgin, LN, The dynamics of symmetric post-buckling, International Journal of Mechanical Sciences, vol. 27 no. 4 (January, 1985), pp. 235-248, Elsevier BV [0020-7403(85)90082-7], [doi]  [abs].

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) .