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TECHNICAL PAPERS

Dynamics of Thick Viscoelastic Beams

[+] Author and Article Information
A. R. Johnson, A. Tessler, M. Dambach

Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001

J. Eng. Mater. Technol 119(3), 273-278 (Jul 01, 1997) (6 pages) doi:10.1115/1.2812256 History: Received January 15, 1997; Revised April 08, 1997; Online November 27, 2007

Abstract

A viscoelastic higher-order thick beam finite element formulation is extended to include elastodynamic deformations. The material constitutive law is a special differential form of the Maxwell solid, which employs viscous strains as internal variables to determine the viscous stresses. The total time-dependent stress is the superposition of its elastic and viscous components. In the constitutive model, the elastic strains and the conjugate viscous strains are coupled through a system of first-order ordinary differential equations. The use of the internal strain variables allows for a convenient finite element formulation. The elastodynamic equations of motion are derived from the virtual work principle. Computational examples are carried out for a thick orthotropic cantilevered beam. Relaxation, creep, relaxation followed by free damped vibrations, and damping related modal interactions are discussed.

Copyright © 1997 by The American Society of Mechanical Engineers
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