Abstract
Asymmetric vibration of polar orthotropic circular plates of linearly varying thickness subjected to hydrostatic in-plane force are discussed on the basis of classical plate theory. An approximate solution of the problem has been obtained by the Ritz method, which employs functions based upon the static deflection of polar orthotropic plates. This method has a faster rate of convergence as compared to the polynomial co-ordinate functions. Frequency parameters of the plate with elastically restrained edge conditions are presented for the three modes of vibrations for various values of taper parameter, rigidity ratio, flexibility parameter and buckling load parameter. The critical buckling loads for elastically restrained edge conditions have been obtained. A comparison of results with those available in the literature shows an excellent agreement.
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