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 #(t) which can be solved in the usual manner.
