A Numerical Integration Method of Dynamic Finite Element Analysis

A new numerical integration method for dynamic finite element analysis is proposed in the paper. In the proposed algorithm, the acceleration change in a particular time step is first assumed to be curved variation, and then the displacement vector, velocity vector and acceleration vector at the current instance can be expressed in terms of the results at last time instance. Because of the curvilinear property of the acceleration change in a particular time interval, the complicated dynamical responding such as high-oscillatory modes can be captured with the present method. The efficiency and accuracy of the proposed algorithm are validated by two numerical examples and numerical results show that the present formulation has better accuracy than the Wilson’s method and the Newmark’s method used in the conventional finite element method.