Application of Static Condensation Method to Vibration Analysis of Thin Cylindrical Shells

[+] Author and Article Information
N. Tokuda

Research Institute, Ishikawajima-Harima Heavy Industries Company, Ltd., Tokyo, Japan

Y. Sakata

Nuclear Power Division, Ishikawajima-Harima Heavy Industries Company, Ltd., Tokyo, Japan

J. Pressure Vessel Technol 111(3), 275-284 (Aug 01, 1989) (10 pages) doi:10.1115/1.3265675 History: Received January 08, 1986; Revised February 14, 1989; Online November 05, 2009


A simple formula is proposed, by which the error in the natural frequencies introduced by using the static condensation method can be evaluated prior to the numerical computation, though its effective applicability is found in simple structures such as plates and shells. The effectiveness of the proposed formula is examined in the vibration analysis of thin cylindrical shells having freely supported ends by using various reduction patterns. Not only the accuracy of natural frequencies, but also that of modal displacements and the corresponding modal stresses are investigated by comparing with the results obtained without reduction and with the exact analytical solutions given by Arnold and Warburton.

Copyright © 1989 by ASME
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