Transient Response of Continuous Elastic Structures With Viscous Damping

[+] 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 45(4), 877-882 (Dec 01, 1978) (6 pages) doi:10.1115/1.3424435 History: Received January 01, 1978; Online July 12, 2010


A comprehensive theory is presented for the dynamic response of continuous structural members with viscous damping using a modal analysis. The theoretical development provides a concise set of formulas that may be used for any structural member for which the equations of motion are known. These formulas are appropriate for both self-adjoint and nonself-adjoint systems of equations, which may include viscous damping, nonhomogeneous boundary and in-span conditions, and arbitrary forcing functions. The axisymmetric transient response of a thick elastic cylindrical shell subjected to displacement boundary conditions is included to demonstrate the usefulness of the general formulation in uncoupling the response of complex structural members.

Copyright © 1978 by ASME
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