Effect of Transverse Shear and Rotatory Inertia on Large Amplitude Vibration of Anisotropic Skew Plates: Part 1—Theory

[+] Author and Article Information
M. Sathyamoorthy, C. Y. Chia

Department of Civil Engineering, The University of Calgary, Calgary, T2N 1N4, Canada

J. Appl. Mech 47(1), 128-132 (Mar 01, 1980) (5 pages) doi:10.1115/1.3153590 History: Received March 01, 1979; Revised July 01, 1979; Online July 21, 2009


A nonlinear vibration theory for anisotropic elastic skew plates is developed with the aid of Hamilton’s principle. The effects of transverse shear deformation and rotatory inertia are included in the analysis. The differential equations formulated here readily reduce to the dynamic von Karman-type equations of skew plates when the shear and rotatory inertia effects are neglected. Solutions to these equations are presented for various boundary conditions in the second part of the paper.

Copyright © 1980 by ASME
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