generalized integral transform method for the bending analysis of clamped rectangular thin plates

The article presents generalized integral transform method (gitm) for thebending analysis of clamped rectangular thin plates. the problem is aboundary value problem (bvp) represented by a fourth order partialdifferential equation (pde). linear combinations of product ofeigenfunctions of vibrating clamped thin beams in the in-plane dimensionsare used to formulate the sought for deflection function w(x, y) in terms of adouble series with unknown generalized deflection parameters cmn. thegitm converts the bvp to an integral equation and ultimately to analgebraic problem in terms of cmn, which is solved to fully obtain ( , ) w x y as adouble infinite series found to be convergent. bending moments are obtainedusing the bending moment deflection relations as double infinite series withconvergent properties. the solutions obtained for deflection and bendingmoments at the center and middle of the clamped edges for the twoconsidered cases of uniformly distributed load and hydrostatic load are inagreement with previous results in literature. the effectiveness of the gitmfor the clamped plate problem is thus illustrated.