Transverse Vibrational and Static Deflectional Problems of Orthotropic Circular Plates under Arbitrary Edge Constraints: Method of Solution

K. H. Ruei

《Chinese Journal of Physics》 21卷3&4期 (1983/12) Pp. 54-64

並列摘要

This paper presents a method of solution, by Galerkin procedure, to the problems of transverse vibrations and static deflections of orthotropic circular plates subjected to arbitrary edge constraints. The transverse deflection function w is taken as a polynomial in (l-r/a) and a Fourier series in 0. The expansion coefficients in this function are determined in terms of a single key coefficient by boundary, geometrical, and physical conditions. This key coefficient is later determined by normalization. Some terms in the complementary function F are thrown away by physical consideration so that the number of constants of integration is just equal to the number of equations resulted from the boundary conditions on F. The Galerkin integral is carried out to give the equation of motion for the time function φ(t) which can be solved in the usual manner.