Transient Response of Continuous Viscoelastic Structural Members

[+] Author and Article Information
J. Strenkowski

Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, N. C. 27650

W. Pilkey

Department of Mechanical Engineering, University of Virginia, Charlottesville, Va. 22901

J. Appl. Mech 46(3), 685-690 (Sep 01, 1979) (6 pages) doi:10.1115/1.3424627 History: Received July 01, 1978; Online July 12, 2010


In this paper a comprehensive theory is formulated for the dynamic response of structural members with a constitutive relation in the form of a hereditary integral. A modal approach is taken to uncouple the response due to an arbitrary excitation force and general nonhomogeneous surface tractions. The result of this theory is a general set of formulas which may be used for both nonself-adjoint and self-adjoint systems of governing equations of motion. This general formulation is applied to the specific cases of a Voigt-Kelvin beam and a viscoelastic circular plate.

Copyright © 1979 by ASME
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