CAM Colloquium: Lawrence Virgin (Duke University) - Mechanics of very slender structures


Frank H. T. Rhodes Hall 655


This talk will describe the behavior of very slender structures in which weight and elastic stiffness compete with each to determine equilibrium shapes and associated vibration behavior. These highly nonlinear equilibrium configurations and their natural frequencies are obtained by solving the governing partial differential equations with appropriate boundary conditions (using a shooting method). Analytical results are compared with simple experimental studies. Applications of these studies include solar sails, shock absorbers, and bouncing goats. Also included is an example of the utility of 3D-printing in producing geometrically precise models for demonstrating resonance.

Lawrie Virgin is Professor of Mechanical Engineering and Materials Science at Duke University in North Carolina. He is a former Chair of the Department of Civil and Environmental Engineering and has been a faculty member at Duke since 1988. Prior to that he received his education in the United Kingdom culminating in a PhD from the University of London (UCL). His research interests are centered on nonlinear mechanics especially buckling, nonlinear vibration and their interaction. Applications of his research include ship capsize, aeroelasticity, marine risers, rocking blocks, control, sonic fatigue, solar sails and the dynamics of very slender structures. He is the subject editor for Nonlinear Dynamics for Journal of Sound and Vibration. He has written over one hundred and sixty journal papers and two books: Introduction to Experimental Nonlinear Dynamics” (2000) and “Vibration of Axially Loaded Structures” (2007) both published by Cambridge University Press.