Lawrie N. Virgin

Lawrence N. Virgin

Professor of Mechanical Engineering and Materials Science

Professor Virgin's research is centered on studying the behavior of nonlinear dynamical systems. This work may be broadly divided into two components. First, investigation of the fundamental nature of nonlinear systems based on a mathematical description of their underlying equations of motion. Both analytical and numerical techniques are used with special attention focused on the loss of stability of dynamical systems.

The second area of interest is to apply recent results from nonlinear dynamical systems theory to problems of practical engineering importance. These include the nonlinear rolling motion of ships leading to capsize; buckling of axially-loaded structural components; aeroelastic flutter of aircraft panels at high supersonic speeds; vibration isolation based on nonlinear springs; energy harvesting; damage detection and structural health monitoring; and the dynamics of very flexible structures including solar sails and marine risers. Professor Virgin conducts mechanical experiments to complement these studies.

The flavor of much of this work is contained in the books:

Introduction to Experimental Nonlinear Dynamics, L.N. Virgin, Cambridge University Press, 2000.

Vibration of Axially Loaded Structures, L.N. Virgin, Cambridge University Press, 2007.

Appointments and Affiliations

  • Professor of Mechanical Engineering and Materials Science
  • Professor in the Department of Civil and Environmental Engineering

Contact Information

Education

  • Ph.D. University of London (UK), 1986
  • M.S. Cardiff University, 1982
  • B.S. University of Manchester (England), 1981

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.

    Specialties

    Structural Engineering
    Chaos, Dynamics
    Nonlinear Dynamics
    Computational Mechanics

    Awards, Honors, and Distinctions

    • Frocht Award. Society for Experimental Mechanics. 2016
    • International Gas Turbine Institute's (IGTI) J. P. Davis Award. American Society of Mechanical Engineers. 2012

    Courses Taught

    • CEE 647: Buckling of Engineering Structures
    • ME 392: Undergraduate Projects in Mechanical Engineering
    • ME 473: Aerospace Structures
    • ME 491: Special Projects in Mechanical Engineering
    • ME 492: Special Projects in Mechanical Engineering
    • ME 527: Buckling of Engineering Structures
    • ME 555: Advanced Topics in Mechanical Engineering
    • ME 742: Nonlinear Mechanical Vibration
    • ME 759: Special Readings in Mechanical Engineering

    Representative Publications

    • Virgin, LN; George, C; Kini, A, Experiments on a non-smoothly-forced oscillator, Physica D: Nonlinear Phenomena, vol 313 (2015), pp. 1-10 [10.1016/j.physd.2015.09.002] [abs].
    • 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 (2015), pp. 022504-022504 [10.1115/1.4031308] [abs].
    • 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 07 no. 04 (2015), pp. 1550057-1550057 [10.1142/S175882511550057X] [abs].
    • Virgin, LN; Plaut, RH; Cartee, EV, Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation, Experimental Mechanics, vol 55 no. 6 (2015), pp. 1191-1197 [10.1007/s11340-015-0011-7] [abs].
    • 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 (2015), pp. 83-94 [abs].

    Additional Information

    Research photographs

    Many of my research projects have an experimental component, some photos can be found in the following links showing:

    Some of my latest research involves solar sails for deep space exploration (sponsored by NASA):

    Numerical simulation has also played an important role in the development of dynamics: