Stability of Cylindrical Shells Under Moving Loads by the Direct Method of Liapunov

[+] Author and Article Information
G. A. Hegemier

Department of the Aerospace and Mechanical Engineering Sciences, University of California at San Diego, La Jolla, Calif.

J. Appl. Mech 34(4), 991-998 (Dec 01, 1967) (8 pages) doi:10.1115/1.3607868 History: Received December 21, 1966; Online September 14, 2011


The stability of a long, thin, elastic circular cylindrical shell subjected to axial compression and an axisymmetric load moving with constant velocity along the shell axis is studied. With the aid of the direct method of Liapunov, and employing a nonlinear Donnell-type shell theory, sufficient conditions for local stability of the axisymmetric response are established in a functional space whose metric is defined in an average sense. Numerical results, which are presented for the case of a moving decayed step load, reveal that the sufficient conditions for stability developed here and the sufficient conditions for instability obtained in a previous paper lead to the actual stability transition boundary.

Copyright © 1967 by ASME
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