Bending of anisotropic rectangle plates with four freeedges on elastic foundation
Liu Junqing,Wang Kelin
(Xi'an Univ. of Arch.&.Tech., Xi'an 710055,china)

Abstract: In this paper the general solutions of anisotropic rectangle plate with four free edges on elastic foundation have been obtained by means of the method of superposition. Each component of superposition is expanded to double Fourier series and some of its differential coefficients on boundaries are expanded to single Fourier series. Using governing equation and some boundary conditions, each component of superposition is reduced to Fourier series for coefficients in the series of its self or its differential coefficients on boundaries. The deflections of rectangle plate on elastic foundation are presented. This represents, to the author's knowledge, the first accurate comprehensive treatment of this set of problems.
Keyword: anisotropic, rectangle plate, Fourier seriesi.