| 精细积分的非线性动力学积分方程及其解法 |
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| 引用本文： | 吕和祥,于洪洁,裘春航.精细积分的非线性动力学积分方程及其解法[J].固体力学学报,2001,22(3):303-308. |
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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 |
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| 基金项目： | 国家自然科学基金重大项目资助 (19990 5 10 ) |
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| 摘 要： | 给出了非线性动力学积分方程的表达式，针对该方程提出了一个显式预测－校正的单步四阶精度的积分算法，适用于多自由度、强非线性，非保守系统。算例表明该方法精度高、计算量较少。
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| 关 键 词： | 精细积分 数值积分 积分方程 非线性动力学 |
| 修稿时间： | 1999年12月17 |
AN INTEGRAL EQUATION OF NON-LINEAR DYNAMICS AND ITS SOLUTION METHOD |
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| Lu Hexiang,Yu Hongjie,Qiu Chunhang.AN INTEGRAL EQUATION OF NON-LINEAR DYNAMICS AND ITS SOLUTION METHOD[J].Acta Mechnica Solida Sinica,2001,22(3):303-308. |
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| Authors: | Lu Hexiang Yu Hongjie Qiu Chunhang |
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| Abstract: | An integral equation of non linear dynamics is presented. An explicit precise integration algorithm with four order accuracy and self correct to solve this equation is given. This method is adapted to solving the non conservative systems with multi DOF and strong nonlinear. Numerical examples show that the method can give results with high accuracy and needs less labor. |
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| Keywords: | precise integration numerical integration non linearity integral equation |
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