A new differential quadrature methodology for beam analysis and the associated differential quadrature element method

摘要

This paper presents a computationally efficient and an accurate new methodology in differential quadrature analysis of beam elements. The methodology would overcome the difficulties in boundary conditions implementations of fourth- order differential equations encountered in such problems. The methodology benefited from defining the second-order derivatives along the boundaries as independent degrees of freedom would enable the differential quadrature method to exactly satisfy some types of boundary conditions; where by most other conventional algorithms have to be satisfied approximately.