Overview
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.
More recently, he has developed an interest in 3D-printing, with applications in models for high-fidelity experiments, and for use in the teaching arena.
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.
Current Appointments & Affiliations
Recent Publications
Experimental probing of the configuration space of circular, clamped panels
Journal Article International Journal of Non-Linear Mechanics · November 1, 2024 A thin, post-buckled, circular plate is a classic exhibiter of bi-stability. That is, an elastic structural element that possesses more than a single (stable) equilibrium configuration. The key here is that the plate may be flat, or deflected in a given di ... Full text CiteAn experimental parametric study assessing the effect of a certain initial geometric imperfection on cylinder buckling
Journal Article Aerospace Science and Technology · September 1, 2024 Given the sensitivity of axially-loaded cylinder buckling to geometric imperfections, the advent of additive manufacturing provides a compelling platform to assess subtle changes in initial configuration from an experimental perspective. The cylindrical fo ... Full text CiteOn the mechanics of monofilaments used in touch sensory perception.
Journal Article Medical engineering & physics · January 2024 The buckling of a slender monofilament is a standard clinical method used to assess touch sensory perception, with specific applications to somatosensory impairment in patients after a stroke, detecting carpal tunnel syndrome, and as a prognosis tool for d ... Full text CiteRecent Grants
Interrogation (probing) of Configuration Space in Buckled Structures
ResearchPrincipal Investigator · Awarded by Air Force Office of Scientific Research · 2023 - 2026Probing and Disturbance Sensitivity: A New Approach to Imperfection-Sensitive Buckling
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2019 - 2023Collaborative Research: Geometry of escape dynamics in structural mechanics
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2015 - 2019View All Grants