Frequencies and Mode Shapes for Axisymmetric Vibration of Shells

[+] Author and Article Information
E. W. Ross, W. T. Matthews

U. S. Army Materials Research Agency, Watertown, Mass.

J. Appl. Mech 34(1), 73-80 (Mar 01, 1967) (8 pages) doi:10.1115/1.3607671 History: Received July 15, 1965; Revised July 20, 1966; Online September 14, 2011


This paper treats the axisymmetric vibration of thin elastic shells. Estimates of natural frequencies and modes are obtained for a general class of domes by applying the approximations obtained in a previous paper by one of the authors. Numerical results are obtained for ellipsoidal shells, and one new theoretical result is found.

Copyright © 1967 by ASME
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