Equations of motion and energy functionals are derived for a three-dimensional coordinate system especially useful for analyzing the static and dynamic behavior of arbitrarily thick shells of revolution having variable thickness. The field equations are utilized to express them in terms of displacement components.
Issue Section:
Brief Notes
1.
Leissa, A. W., 1971, Vibration of Shells, U.S. Government Printing Office; 1993 reprinted by The Acoustical Society of America.
2.
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.
3.
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
.4.
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
.Copyright © 2001
by ASME
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