基于加权残值法的高阶直接积分算法

Higher order direct integration algorithm based upon weighted residual approach

本文以三次的Hermite插值多项式逼近位移响应,应用加权残值法推导了一个直接积分递推算法。在分析算法性能的基础上,推荐了一族无条件稳定的三阶算法。通过算例和几种类似算法作了比较。

In this paper, the direct integration reccurent algorithm is derived by-means of weighted residual approach, and the Hermitian interpolation of cubic polynomial is used to approximate the displacement response. After analizing the behaviour of algorithm, an unconditionally stable scheme of ordre three is recommended. A comparison to several analogous algorithms is given through numerical examples.