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Lawrence N. Virgin

Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
3393 Fciemas Building, Box 90300, Durham, NC 27708
3393 Fciemas, Duke Box 90300, Durham, NC 27708

Overview


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.

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


Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science · 2003 - Present Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering
Professor in the Department of Civil and Environmental Engineering · 2024 - Present Civil and Environmental Engineering, Pratt School of Engineering

In the News


Published January 23, 2023
Crushing Cylinders for Fun and Science
Published May 24, 2021
The Sky's the Limit for Duke Engineers Designing the Safest, Most Cost-Efficient Aircraft and Turbomachinery

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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 Cite

An 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 Cite

On 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 Cite
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Recent Grants


Interrogation (probing) of Configuration Space in Buckled Structures

ResearchPrincipal Investigator · Awarded by Air Force Office of Scientific Research · 2023 - 2026

Probing and Disturbance Sensitivity: A New Approach to Imperfection-Sensitive Buckling

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2019 - 2023

Collaborative Research: Geometry of escape dynamics in structural mechanics

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2015 - 2019

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Education, Training & Certifications


University of London (United Kingdom) · 1986 Ph.D.
Cardiff University (United Kingdom) · 1982 M.S.
University of Manchester (United Kingdom) · 1981 B.S.