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RESEARCH PAPERS

Vibrations of a Rectangular Plate With Concentrated Mass, Spring, and Dashpot

[+] Author and Article Information
Y. C. Das

Department of Civil Engineering, University of Illinois, Urbana, Ill.

D. R. Navaratna

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India

J. Appl. Mech 30(1), 31-36 (Mar 01, 1963) (6 pages) doi:10.1115/1.3630102 History: Received August 15, 1961; Online September 16, 2011

Abstract

An analytical method, developed by Young [1], is here extended to the determination of the natural frequencies of a composite system which consists of an isotropic rectangular plate with a concentrated mass, spring, and dashpot attached at any point of the plate. This method makes use of a double series expansion in terms of two sets of orthogonal functions which represent the normal modes of the vibration of the plate alone. Numerical examples for a square plate with (a) a combined concentrated mass and spring, (b) two concentrated masses, and (c) an attached dashpot have been presented.

Copyright © 1963 by ASME
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