Wave Propagation in an Elastic Nonhomogeneous Bar of Finite Length

[+] Author and Article Information
U. S. Lindholm

Engineering Mechanics, Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas

K. D. Doshi

Applied Mechanics Laboratory, The Franklin Institute, Philadelphia, Pa.

J. Appl. Mech 32(1), 135-142 (Mar 01, 1965) (8 pages) doi:10.1115/1.3625709 History: Received December 06, 1963; Online September 15, 2011


The case of an elastic disturbance propagating in a nonhomogeneous bar of finite length is solved by using the principle of virtual work. The nonhomogeneity is prescribed as a continuously varying modulus of elasticity with position in the bar. The density is assumed constant. Numerical results are presented for a finite-length pressure pulse in a free-free bar giving a comparison between the homogeneous and nonhomogeneous solutions.

Copyright © 1965 by ASME
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