Finite Element Analysis of the Lateral Vibration of Thin Annular and Circular Plates With Variable Thickness

[+] Author and Article Information
Dian-Yun Chen

Department of Machine Design, Luoyang Institute of Technology, Henan, 471039, China

Bao-Sheng Ren

Department of Engineering Mechanics, Xian Jiaotong University, Shanxi, 710049, China

J. Vib. Acoust 120(3), 747-752 (Jul 01, 1998) (6 pages) doi:10.1115/1.2893893 History: Received April 01, 1996; Revised August 01, 1996; Online February 26, 2008


The method of annular finite elements with variable thickness is applied for analyzing the lateral vibration of thin annular and circular plates. The material of the plates may be of isotropic or polar orthotropic and the plate thickness may vary arbitrarily with the radius. Natural frequencies and mode shapes of the axisymmetric and nonaxi-symmetric modes are obtained. The numerical convergence of the method has been tested and comparisons have been made with the results obtained in other studies. It has been proved that the convergence of this method is very rapid and obtained results are very accurate.

Copyright © 1998 by The American Society of Mechanical Engineers
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