Bending of Rectangular Plates with Finite Deflections

摘要

A previously developed iterative procedure is applied to obtain numerical solutions of the von Karman equations for rectangular plates subjected to a uniform normal pressure. On the simple supported boundary it is assumed that the normal membrane stress and the tangential membrane displacement vanish. Solutions are obtained for a wide range of values of the loading parameter and the aspect ratio. Boundary layers develop both as the loading parameter and the aspect ratio increase. The stresses and deflections are examined and compared with an 'asymptotic' solution which can be valid only in the interiors of long plates. A comparison is made with a previously obtained approximate solution by the Ritz method for the square plate. (Author)