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RESEARCH PAPERS

A Reduction Method for Nonhomogeneous Boundary Conditions

[+] Author and Article Information
J. M. Sloss

Department of Mathematics, University of California, Santa Barbara, CA 93106

I. Sadek

Mathematical Science Department, University of North Carolina at Wilmington, Wilmington, N.C. 28403

J. C. Bruch

Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106

J. Appl. Mech 53(2), 404-411 (Jun 01, 1986) (8 pages) doi:10.1115/1.3171772 History: Received September 27, 1984; Revised June 03, 1985; Online July 21, 2009

Abstract

A procedure is described for reducing dynamical equations in two-space variables defined in a rectangle with nonhomogeneous time dependent boundary data to equations with homogeneous boundary data. The procedure applies not only to a single equation but to systems of equations with systems of boundary conditions. One-space dimensional problems are treated separately and a condition for applicability is developed in this case. Examples are presented in which dynamical equations in one and two-space variables with nonhomogeneous time dependent boundary data are reduced to equations with homogeneous boundary data. Specific applications to problems in one-space variable include a simple beam, a laminated composite plate, and a Timoshenko beam. For two-space variable problems defined in a rectangle, the application of the procedure is made to an antisymmetric angle-ply circular cylindrical panel.

Copyright © 1986 by ASME
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