求解结构动力方程的高精度直接积分法

A HIGH ACCURACY DIRECT INTEGRATION METHOD FOR SOLVING THE EQUATIONS OF STRUCTURAL DYNAMICS

提出了一种构造高精度无条件稳定的积分格式方法,建立了具有三阶精度的无条件稳定直接积分法,既适用于比例阻尼体系,也适用于非比例阻尼体系。与以往的高精度方法相比,本文方法具有计算量少、存贮空间小的优点,而且没有超越现象。

In this paper, a method for developing high accuracy unconditionally stable integration schemes is presented; a third-order accuracy unconditional stability algorithm is developed, which can be applied to the dynamic analysis of proportionally and non-proportionally damped structures. The high accuracy method developed herein has an advantage of fewer calculation and storage over the former high accuracy methods, and no overshoot.