Free Vibration of Polar-Orthotropic Sector Plates Resting on Point Supports

[+] Author and Article Information
Y. Narita

Computer Center, Hokkaido Institute of Technology, Sapporo 061-24, Japan

J. Vib., Acoust., Stress, and Reliab 107(3), 334-338 (Jul 01, 1985) (5 pages) doi:10.1115/1.3269265 History: Received May 13, 1985; Online November 23, 2009


An accurate Ritz solution for the free vibration of point-supported annular sector plates of polar orthotropy is presented. A double power series function is used to represent deflection of the plate, with Lagrange multipliers to impose the constraint conditions. To establish accuracy of the approach, the frequency parameters of a sector plate with some supporting points distributed along the boundary are compared to those of a uniformly simply supported plate. The natural frequencies and mode shapes are presented for wide ranges of the opening angle, radius ratio, and orthotropic parameters.

Copyright © 1985 by ASME
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