Research Article
Apr 1971
Vibration Analysis of Thin Cylindrical Containers
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 97, Issue 2
Abstract
The dynamic behavior of cylindrical tanks in the empty or water-filled condition is analyzed. The equation of free vibration is derived for tanks fixed at the base and free at the top by using Lagrange's equation in which the various energy expressions are worked out on the basis of assumed beam-type functions for the displacements of the shell. Equations are finally derived for natural time periods, mode shapes, and the virtual mass factor of water which may be used for obtaining the response of the tank to superimposed dynamic forces. The effects of length-radius ratio and varying water depth on the natural frequencies are studied by numerical examples.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 2 • April 1971
Pages: 317 - 331
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Apr 1971
Published online: Feb 3, 2021
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Authors
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Anand S. Arya, M.ASCE
Prof. and Asst. Director, School of Research and Training in Earthquake Engrg., Univ. of Roorkee, Roorkee (U.P.), India.
Shrshi K. Thakkar
Lecturer School of Research and Training in Earthquake Engrg., Univ. of Roorkee, Roorkee (U.P.), India
Atul C. Goyal
Asst. Engr., Central Design Directorate, Irrigation Dept., Lucknow
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