Method of Initial Functions in Two-Dimensional Elastodynamic Problems

[+] Author and Article Information
Y. C. Das, A. V. Setlur

Department of Civil Engineering, Indian Institute of Technology, Kanpur, India

J. Appl. Mech 37(1), 137-140 (Mar 01, 1970) (4 pages) doi:10.1115/1.3408422 History: Received January 08, 1968; Online July 12, 2010


The method of initial functions is formulated for the two-dimensional elastodynamic problems both in plane stress and plane strain. Knowing the stresses and displacements on a given layer of an elastic body in a plane state, the stresses and displacements at any other layer or point can be obtained by the method developed in this paper. The method is illustrated in the case of a deep beam subjected to time-dependent transverse loads. A particular solution for a straight-crested wave traveling along an infinite beam is obtained. Exact value of the dynamic shear coefficient for the well-known Timoshenko beam equation is derived. This method is also applied to the dynamic analysis of layered beams.

Copyright © 1970 by ASME
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