| 动力学方程的积分型直接积分法 |
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| 引用本文： | 吕和祥,于洪洁,裘春航. 动力学方程的积分型直接积分法[J]. 应用数学和力学, 2001, 22(2): 151-156 |
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| 作者姓名： | 吕和祥 于洪洁 裘春航 |
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| 作者单位： | 大连理工大学工程力学系,辽宁大连 116023 |
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| 基金项目： | 国家自然科学基金重大项目资助（1990510） |
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| 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.
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| 关 键 词： | 数值积分 逐步积分 非线性 积分方程 |
| 文章编号： | 1000-0887(2001)02-0151-06 |
| 收稿时间： | 2000-01-07 |
| 修稿时间： | 2000-01-07 |
Direct Integration MethodsWith Integral Model for Dynamic Systems |
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| Lü He_xiang,YU Hong_jie,QIU Chun_hang. Direct Integration MethodsWith Integral Model for Dynamic Systems[J]. Applied Mathematics and Mechanics, 2001, 22(2): 151-156 |
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| Authors: | Lü He_xiang YU Hong_jie QIU Chun_hang |
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| Affiliation: | Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China |
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| Abstract: | 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 four 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 non_linear and non_conservative system have higher accuracy than central difference,Houbolt,Newmark and Wilson_Theta methods. |
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| Keywords: | numerical integration step_by_step integration non_linear integral equation |
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