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Pratt School of Engineering
Duke University
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Research Interests for Lawrence N. Virgin

Research Interests:

  • Experimental verification of low-order nonlinear dynamical behavior (including chaos) using mechanical models.
  • The interaction between dynamics and buckling including secondary bifurcation.
  • Time series analysis in the context of condition monitoring and damage detection.
  • Dynamic behavior of inflatable and lightwieght structures for space applications.
  • Nonlinear aeroelasticity of airfoils, wings and panels.
  • Parametric excitation of slender structural components including rotorblades and struts.
  • Rocking, sliding, bouncing and overturning of rigid blocks with applications in earthquake engineering and the nuclear industry.

    Keywords:
    Vibration, Nonlinear, Buckling, Mechanics
    Representative Publications
    1. Wagg, D; Virgin, L, Exploiting Nonlinear Behavior in Structural Dynamics (April, 2012), pp. 280 pages, SPRINGER, ISBN 3709111862 [abs]
    2. 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 [doi] [abs]
    3. 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 [doi] [abs]
    4. 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 [19658704], [doi] [abs]
    5. Virgin, LN, Vibration of axially loaded structures (January, 2007), pp. 1-359, Cambridge University Press, ISBN 9780521880428 [doi] [abs]
    6. 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
    7. 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 [036], [doi] [abs]
    8. 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 [doi] [abs]
    9. L.N. Virgin, Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press
    10. 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 [doi] [abs]
    11. 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]
    12. 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 [doi] [abs]
    13. 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 [21867167], [doi] [abs]
    14. 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 [0965], [doi] [abs]
    15. 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 [doi] [abs]
    16. 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 [316], [doi] [abs]
    17. 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 [doi] [abs]
    18. 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
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