RESEARCH PAPERS: Vibration Analysis of Complex Geometries

Direct Method on the Determination of Eigenfrequencies of Arbitrarily Shaped Plates

[+] Author and Article Information
K. Nagaya

Department of Mechanical Engineering, Gunma University, Kiryu, Gunma, Japan

J. Vib., Acoust., Stress, and Reliab 105(1), 132-136 (Jan 01, 1983) (5 pages) doi:10.1115/1.3269057 History: Received June 10, 1981; Online November 23, 2009


This paper is concerned with a method for solving vibration problems of arbitrarily shaped plates. The frequency equation for determining eigenfrequencies of arbitrarily shaped plates is presented. A method of numerical calculation has been given for five examples of circular plates, elliptical plates, rectangular plates with rounded corners, and cardioidal plates. Numerical calculations are carried out for rectangular plates with semicircular sides, rectangular plates with rounded corners and cardioidal plates. The results obtained by this method are compared with previously published results for typical cases of circular and rectangular plates.

Copyright © 1983 by ASME
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