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| 结构非线性动力分析的常微分方程解法 | |
| 引用本文： | 贺冉,康光宗,陈伯望.结构非线性动力分析的常微分方程解法[J].湖南城市学院学报(自然科学版),2007,16(1):6-8. |
| 作者姓名： | 贺冉 康光宗 陈伯望 |
| 作者单位： | 1. 湖南科技大学,土木工程学院,湖南,湘潭,411201;湖南城市学院,土木工程学院,湖南,益阳,413000 2. 湖南科技大学,土木工程学院,湖南,湘潭,411201 3. 湖南城市学院,土木工程学院,湖南,益阳,413000 |
| 摘 要： | 将常微分方程初值问题的数值解法应用于结构非线性动力分析,并对非线性动力状态方程进行求解.对单步法中的Runge-Kutta方法,多步法中的预估校正Adams-Bashforth-Moulton方法、预估校正Milne-Simpson方法及预估Milne-Hamming方法应用于结构非线性动力分析的稳定性以及精度进行了探讨. |
| 关 键 词： | 常微分方程 非线性动力分析 单步法 多步法 结构非线性 动力分析 微分方程解法 Structure Dynamics Analysis Nonlinear Ordinary Differential Equation 精度 稳定性 预估校正 多步法 方法 单步法 求解 状态方程 应用 数值解法 初值问题 常微分方程 |
| 文章编号： | 1672-7304（2007）01-0006-03 |
| 修稿时间： | 2006-12-04 |
Solution of Ordinary Differential Equation for Nonlinear Dynamics Analysis of Structure |
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| HE Ran,KANG Guang-zong,CHEN Bo-wang.Solution of Ordinary Differential Equation for Nonlinear Dynamics Analysis of Structure[J].Journal of Hunan City University:Natural Science,2007,16(1):6-8. | |
| Authors: | HE Ran KANG Guang-zong CHEN Bo-wang |
| Institution: | 1. College of Civil Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China; 2. College of Civil Engineering, Hunan City University, Yiyang, Hunan 413000, China |
| Abstract: | Based on the numerical solution of initial problem of ordinary differential equation is applied to nonlinear dynamics analysis of structure, the solution of the state equations for nonlinear dynamics system governed by the equation is discussed. The numerical solutions of which include single-step method such as Runge-Kutta method and multi-step method such as Adams-Bashforth-Moulton's predictor-corrector method, Milne-Simpson's predictor-corrector method and Milne-Hamming's predictor- corrector method. The stability and accuracy of those numerical solutions are discussed for application to nonlinear dynamics analysis of structure. |
| Keywords: | Ordinary differential equation nonlinear dynamics analysis single-step method multi-step method |
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