The Use of Mixed Variable Complementary Energy Principle for Solving Rectangular Plate Bending with the Action of Uniformly Distributed Loads

Abstract

In this paper, the minimum complementary energy principle of mixed variables was applied to get all the complementary energy expression of the rectangular plate under complex boundary conditions. When its variation extremum is taken, the boundary deflection will be more convenient to get. The principle was generalized to solve the problem of the rectangular bending plate under mixed boundary conditions with the action of uniformly distributed loads. Setting four corners of the fixed support as an example to calculate and then obtains a surface deflection equation.