Base Force Element Method for Plane Frame

Abstract

Combined with the modified complementary energy principle and force interpolation function method, a planar beam model of the base force element method (BFEM) is proposed, and its compliance matrix, control equation and the node displacement expression are also given. Using the concept of base forces and base moments as state variables, a new function for the beam element complementary energy functional is constructed. In order to verify the applicability of this model, the model is programmed into a MATLAB program, combined with calculating some typical calculation examples, the results are compared with the theoretical solutions and the structural mechanics solver solutions. Its good agreement proved that this element can be used to analysis the static problem of the two-dimensional framed structures.