Stress Wave Propagation in a Bar of Arbitrary Cross Section

[+] Author and Article Information
K. Nagaya

Department of Mechanical Engineering, Gunma University, Kiryu, Gunma, Japan

J. Appl. Mech 49(1), 157-164 (Mar 01, 1982) (8 pages) doi:10.1115/1.3161959 History: Received February 01, 1981; Revised June 01, 1981; Online July 21, 2009


In this paper a method for solving wave propagation problems of an infinite bar of arbitrary cross section has been presented. The frequency equation for finding phase velocites for longitudinal, torsional, and flexural waves have been obtained by making use of the Fourier expansion collocation method which has been developed by the author on the vibration and dynamic response problems of membranes and plates. As a numerical example, the phase velocities versus wave numbers are calculated for elliptical and truncated elliptical cross-section bars.

Copyright © 1982 by ASME
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