Influence of Deformations Prior to Instability on the Dynamic Instability of Conical Shells Under Periodic Axial Load

[+] Author and Article Information
J. Tani

Institute of High Speed Mechanics, Tohoku University, Sendai, Japan

J. Appl. Mech 43(1), 87-91 (Mar 01, 1976) (5 pages) doi:10.1115/1.3423801 History: Received May 01, 1975; Revised August 01, 1975; Online July 12, 2010


The dynamic instability of clamped, truncated conical shells under periodic axial load is studied using the Donnell-type basic equation and considering the effect of bending deformations before instability. Two principal instability regions are determined by combining Bolotin’s method and a finite-difference method. One of these belongs to double the natural frequencies of asymmetrical vibration; the other corresponds to the resonance of symmetrically forced vibrations. The effects of static axial load and end-plate mass on the principal instability regions are also investigated.

Copyright © 1976 by ASME
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