The strong formulation finite element method: stability and accuracy

摘要

The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique forsolving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the DifferentialQuadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM andFEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. Thepresent study investigates the stability and accuracy of SFEM when applied to 1D and 2D structuralcomponents, such as rods, beams, membranes and plates using analytical and semi-analytical well-knownsolutions. The numerical results show that the present approach can be very accurate using a small number ofgrid points and elements, when it is compared to standard FEM.