Interaction of thin-walled prismatic shell with elastic foundation

Abstract

The problem of static analysis of prismatic shells consisting of rectangular plates rigidly interconnected along the longitudinal edges is considered. Shells freely lie on the surface of an elastic foundation or embedded in elastic medium. It is accepted that at the ends of the shell located diaphragm rigid in its plane and flexible out of the plane. According to applied bounding conditions the method of single trigonometric series is used which resulted in conversion of two-dimensional problem to one-dimensional. To solve one-dimensional problem uses the method of displacement, in accordance with which all the hard nodes of the system (the junction of the horizontal and vertical plates) are fixed against possible displacement. For ease of algorithmization of the calculation the plates are considered as generalized finite elements. To determine the nodal forces that correspond to the four degrees of freedom considered plane stress of the plate and her bending. The example of calculation of prismatic shell which is in two-parameter elastic medium and loaded on the upper plane by uniformly distributed load is given. It is shown that the account of friction forces leads to a significant reduction of the moments due to the fact that it reduced the total sediment of the shell.