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RESEARCH PAPERS

Dynamic Stresses and Displacements Around Cylindrical Cavities of Arbitrary Shape

[+] Author and Article Information
S. K. Datta

Department of Mechanical Engineering, Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, Colo. 80309

K. C. Wong, A. H. Shah

Department of Civil Engineering, University of Manitoba, Winnipeg, Canada

J. Appl. Mech 51(4), 798-803 (Dec 01, 1984) (6 pages) doi:10.1115/1.3167727 History: Received September 01, 1983; Revised February 01, 1984; Online July 21, 2009

Abstract

Dynamic stresses and displacements around cylindrical cavities of various shapes, namely, circular, triangular, and square cavities are presented in this paper. Also presented are results for a pair of circular cavities of equal radii and a pair of circular and square cavities. These results are of interest in estimating the effects of corners and multiple scattering on the distribution of dynamic displacements and stresses around cylindrical holes or openings. Since exact analytical solutios are not available in these cases (except for a single circular hole) a numerical technique combining the finite element method (FEM) and the method of eigenfunction expansions is used here.

Copyright © 1984 by ASME
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