加权残值法在非线性结构动力学的应用(英文)

The weighted residual method in nonlinear structure dynamics

证明了经典的加权残值法和新成立的归一化加权残值法是解决结构动力学数值收敛性问题的有效方法.归一加权残值也延伸到解二阶非线性常微分方程,数值例子说明了其有效性.

In this paper,we show that the classical weighted residual method and the newly established normalized weighted residual method are valid for the structural dynamics problems because of the existence of time level which is guaranteed by the necessary condition of the convergence analysis of these numerical methods.The normalized weighted residual method is also extended to solve the second order nonlinear ODE,and numerical examples show its effciency.