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REVIEW ARTICLES

Vibration of Shallow Shells: A Review With Bibliography

[+] Author and Article Information
K. M. Liew

Division of Engineering Mechanics, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

C. W. Lim, S. Kitipornchai

Department of Civil Engineering, University of Queensland, Brisbane, Queensland 4072, Australia

Appl. Mech. Rev 50(8), 431-444 (Aug 01, 1997) (14 pages) doi:10.1115/1.3101731 History: Online April 20, 2009

Abstract

This review article documents recent developments in the free vibration analysis of thin, moderately thick, and thick shallow shells. An introductory review of the studies in Kirchhoff-Love classical thin shell theory is given. The development of studies in moderately thick shells incorporating the effects of transverse shear deformation and rotary inertia is detailed. This review article mainly focuses on research advances in vibration studies since the 1970s using the classical Kirchhoff-Love, first-order, and higher-order theories. The validity and range of applicability of these theories are examined. There are 163 references listed at the end of the article.

Copyright © 1997 by American Society of Mechanical Engineers
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