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RESEARCH PAPERS

Free Vibration of a Circular Cylindrical Shell Elastically Restrained by Axially Spaced Springs

[+] Author and Article Information
T. Irie, G. Yamada, Y. Muramoto

Department of Mechanical Engineering, Hokkaido University, Kita-13, Nishi-8, Kita-ku, Sapporo, 060 Japan

J. Appl. Mech 50(3), 544-548 (Sep 01, 1983) (5 pages) doi:10.1115/1.3167088 History: Received July 01, 1982; Revised February 01, 1983; Online July 21, 2009

Abstract

An analysis is presented for the free vibration of a circular cylindrical shell restrained by axially spaced elastic springs. The governing equations of vibration of a circular cylindrical shell are written as a coupled set of first-order differential equations by using the transfer matrix of the shell. Once the matrix has been determined, the entire structure matrix is obtained by the product of the transfer matrices and the point matrices at the springs, and the frequency equation is derived with terms of the elements of the structure matrix under the boundary conditions. The method is applied to circular cylindrical shells supported by axially equispaced springs of the same stiffness, and the natural frequencies and the mode shapes of vibration are calculated numerically.

Copyright © 1983 by ASME
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