Three-Dimensional Field Equations of Motion, and Energy Functionals for Thick Shells of Revolution With Arbitrary Curvature and Variable Thickness

[+] Author and Article Information
J.-H. Kang

Department of Architecture, Chung-Ang University, Seoul, South Korea

A. W. Leissa

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210-1154

J. Appl. Mech 68(6), 953-954 (May 24, 2001) (2 pages) doi:10.1115/1.1406961 History: Received June 15, 2000; Revised May 24, 2001
Copyright © 2001 by ASME
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Leissa, A. W., 1971, Vibration of Shells, U.S. Government Printing Office; 1993 reprinted by The Acoustical Society of America.
Kang, J.-H., 1997, “Three-Dimensional Vibration Analysis of Thick Shells of Revolution With Arbitrary Curvature and Variable Thickness,” Ph.D. dissertation, The Ohio State University.
Kang,  J.-H., and Leissa,  A. W., 1999, “Three-Dimensional Vibrations of Hollow Cones and Cylinders With Linear Thickness Variations,” J. Acoust. Soc. Am., 106, pp. 748–755.
Kang,  J.-H., and Leissa,  A. W., 2000, “Three-Dimensional Vibrations of Thick Spherical Shell Segments With Variable Thickness,” Int. J. Solids Struct., 37, pp. 4811–4823.


Grahic Jump Location
Cross section of an arbitrary shell of revolution with variable thickness in the meridional direction ϕ and positive Gaussian curvature, and the curvilinear coordinate system (ϕ,ζ,θ)




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