Natural Frequencies of Clamped Orthotropic Rectangular Plates With Varying Thickness

[+] Author and Article Information
T. Sakata

Department of Mechanical Engineering, Chubu Institute of Technology, Kasugai, Nagoya-sub., 487, Japan

J. Appl. Mech 45(4), 871-876 (Dec 01, 1978) (6 pages) doi:10.1115/1.3424434 History: Received September 01, 1977; Revised March 01, 1978; Online July 12, 2010


The characteristic equation of a clamped orthotropic rectangular plate with thickness varying in one direction parallel to the side is derived analytically by the use of the double trigonometric series. By using the fundamental natural frequency determined from the characteristic equation, a formula is obtained numerically for estimating the fundamental natural frequency of a clamped orthotropic rectangular plate with thickness varying linearly in one direction. The accuracy of the formula and the influence of the flexural rigidity D1 on the natural frequency are discussed.

Copyright © 1978 by ASME
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