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RESEARCH PAPERS

Stability of Shallow Arches Against Snap-Through Under Timewise Step Loads

[+] Author and Article Information
C. S. Hsu

Division of Applied Mechanics, University of California, Berkeley, Calif.

J. Appl. Mech 35(1), 31-39 (Mar 01, 1968) (9 pages) doi:10.1115/1.3601170 History: Received April 12, 1967; Revised July 19, 1967; Online September 14, 2011

Abstract

The dynamic stability of simply supported, shallow arches subjected to timewise step loads is studied in this paper. Presented is a general method which allows us to treat arches of arbitrary shape and load of arbitrary spatial distribution. Specific problems investigated are sinusoidal arches under sinusoidal loads, the effects of the second harmonics in the arch shape and in the load distribution, and sinusoidal arches subjected to uniform loads or concentrated and eccentric loads. The results are expressed in the form of sufficiency conditions for stability and sufficiency conditions for instability. The criteria given in this paper are reliable because the analysis does not involve truncating the solutions to a small number of modes.

Copyright © 1968 by ASME
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