动力学方程的积分型直接积分法  

Direct Integration Methods With Integral Model for Dynamic Systems

作　　者：吕和祥[1] 于洪洁[1] 裘春航[1] 

机构地区：[1]大连理工大学工程力学系,辽宁大连116023

出　　处：《应用数学和力学》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 )

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.

关 键 词：数值积分 逐步积分 积分方程 动力学方程 积分型直接积分法 

分 类 号：O313[理学—一般力学与力学基础] O322[理学—力学]