Free Vibration of Anisotropic Rectangular Plates
- 1 July 1972
- journal article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 52 (1B) , 448-449
- https://doi.org/10.1121/1.1913115
Abstract
Solutions for the free vibration of anisotropic plates with other than clamped edge conditions have been previously obtained by approximate energy methods in conjunction with classical beam mode functions. Because of the existence of cross-elasticity bending stiffness terms, however, the beam functions do not satisfy the natural boundary conditions. Numerical results presented for a simple supported anisotropic plate indicate that such an approach yields very slow convergence of the vibration frequencies for highly anisotropic materials, such as graphite-epoxy fiber reinforced composites. Improved results are obtained by using a classical Fourier analysis in which both the geometric and natural boundary conditions are satisfied.This publication has 0 references indexed in Scilit: