| 非线性多自由度转子系统精细数值积分 |
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| 引用本文： | 李伟东,吕和祥,裘春航,夏松波.非线性多自由度转子系统精细数值积分[J].振动工程学报,2004,17(4):427-432. |
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| 作者姓名： | 李伟东 吕和祥 裘春航 夏松波 |
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| 作者单位： | 1. 大连理工大学工业装备结构分析国家重点实验室,大连,116023
2. 哈尔滨工业大学能源科学与工程学院,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金重大项目资助(编号:19990510) |
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| 摘 要： | 针对非线性动力学问题中的刚度病态或奇异的问题，在某些高精度算法失效的情况下，经过恒等变换，抑制了刚度奇异和病态，然后通过哈密顿体系的常用方法将原方程转化为一阶微分方程，并利用求解非线性动力学方程的分段直接积分法进行逐步积分计算，提出了处理刚性问题的一般方法。以动力学行为极其复杂的非线性油膜力支撑的多自由度转子系统为例，采用较大时间步长获得到了较为理想的计算结果。
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| 关 键 词： | 奇异 大时间步长 数值积分 多自由度 转子系统 哈密顿体系 恒等变换 非线性油膜力 刚度 高精度 |
| 修稿时间： | 2003年11月4日 |
Precise Numerical Integration of Nonlinear Rotor System with Multi-Degree of Freedom |
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| Li Weidong LV Hexiang Qiu Chunhang Xia Songbo.Precise Numerical Integration of Nonlinear Rotor System with Multi-Degree of Freedom[J].Journal of Vibration Engineering,2004,17(4):427-432. |
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| Authors: | Li Weidong LV Hexiang Qiu Chunhang Xia Songbo |
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| Affiliation: | Li Weidong1 LV Hexiang1 Qiu Chunhang1 Xia Songbo2 |
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| Abstract: | This paper focuses on the nonlinear dynamic systems which have ill-conditioned stiffness matrix. Beacause some higher accurate methods are out of work in these problems, a method which can eliminate the ill-condition and singularity through a equivalence transformation has been proposed. After changing the original dynamic system to general nonlinear system by Hamilton criterion, a satisfactory numerical solutions for a rotor system with multi degrees of freedom supports contained nonlinear fluid film bearings by segmented-direct-integration algorithm are obtained. Also, it can deal with general stiffness problems effectively. |
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| Keywords: | nonlinear dynamics rotor system segmented-direct-integration method ill-conditioned matrix precise time-integration method |
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