摘要
提出了一个求解动力学问题的新方法 (DIM_IM) · 将动力学方程化成积分方程的形式 ,借助于该方程构造出了具有显式预测_校正的单步、自起动和四阶精度的积分型直接积分算法· 理论分析和算例指出 ,这一方法较中心差分法、Houbolt法、Newmark法和Wilson_θ法都有较高的精度· 本方法适用于强非线性 ,非保守系统·
A new approach which is a direct integration method with integral model (DIM_IM) to solve dynamic governing equations is presented. The governing equations are integrated into the integral equations. An algorithm with explicit and predict_correct and self_starting and fourth_order accuracy to integrate the integral equations is given. Theoretical analysis and numerical examples show that DIM_IM discribed in this paper suitable for strong nonlinear and non_conservative system have higher accuracy than central difference,Houbolt,Newmark and Wilson_Theta methods.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第2期151-156,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金!重大项目资助 ( 19990 510 )
