Free vibration of polar orthotropic circular plates of variable thickness with elastically restrained edge

摘要

Asymmetric vibrations of polar orthotropic circular plates of linearly varying thickness with elastic/rigid support are discussed on the basis of the classical plate theory. An approximate solution of the problem is obtained by the Rayleigh-Ritz method using functions based on static deflection of polar orthotropic circular plates. This type of approximating functions has a faster rate of convergence as compared to the polynomial co-ordinate functions. Frequency parameters of the plate have been obtained for different values of taper parameter, flexibility parameter and rigidity ratio in the first three modes of vibration. A comparison of results for special cases of isotropy, uniform thickness and of axisymmetric vibrations obtained by other techniques such as the finite element method and the Receptance method shows excellent agreement. (C) 1998 Academic Press Limited. [References: 27]