| 含非线性摩擦系数的单自由度颤振系统全局动力学行为数值研究 |
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| 引用本文： | 唐进元,熊兴波,陈思雨. 含非线性摩擦系数的单自由度颤振系统全局动力学行为数值研究[J]. 计算力学学报, 2011, 28(3): 417-422 |
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| 作者姓名： | 唐进元 熊兴波 陈思雨 |
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| 作者单位： | 现代复杂装备设计与极端制造教育部重点实验室(中南大学),中南大学,机电工程学院,长沙,410083 |
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| 基金项目： | 国家自然科学基金(50875263);国家重点基础研究发展计划(973计划)(2005CB724100)资助项目. |
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| 摘 要： | 摩擦系数模型取更具普适性的Stribeck非线性模型,基于事件驱动理论，利用C与Matlab联合仿真的方法开发了干摩擦颤振问题的快速求解程序。给出改进的胞映射算法，对含非线性摩擦的单自由度摩擦颤振系统的演化过程及其全局性态进行数值分析和研究，得到系统在任意的初始状态下的响应特性、系统收敛域的数值计算分析结果。分析结果表...
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| 关 键 词： | 摩擦颤振 胞映射 非线性 全局性态 |
| 收稿时间： | 2009-04-24 |
| 修稿时间： | 2009-10-23 |
Study of friction chatter of mechanical system based on cell mapping algorithm |
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| TANG Jin-yuan,XIONG Xing-bo and CHEN Si-yu. Study of friction chatter of mechanical system based on cell mapping algorithm[J]. Chinese Journal of Computational Mechanics, 2011, 28(3): 417-422 |
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| Authors: | TANG Jin-yuan XIONG Xing-bo CHEN Si-yu |
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| Affiliation: | Key Laboratory of Modern Complex Equipment Design and Extreme Manufacturing(Central South University),Ministry of Education,School of Mechanical and Electrical Engineering, Central South University, Changsha 410083,China;Key Laboratory of Modern Complex Equipment Design and Extreme Manufacturing(Central South University),Ministry of Education,School of Mechanical and Electrical Engineering, Central South University, Changsha 410083,China;Key Laboratory of Modern Complex Equipment Design and Extreme Manufacturing(Central South University),Ministry of Education,School of Mechanical and Electrical Engineering, Central South University, Changsha 410083,China |
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| Abstract: | Based on event-driven theory, a rapid solving program for friction chatter is developed by jointly using the programming languages of C and Matlab after introducing the nonlinear Stribeck friction model. Numerical analysis is conducted to study the evolutionary process and global behavior of single-DOF friction chatter that involves nonlinear friction coefficient by using a revised cell mapping algorithm. Thus the response characteristics under arbitrary initial state and the result of numerical analysis in the domain of convergence are obtained. The result shows that the stable solution transforms to limit cycle from equilibrium point while the phenomenon of chatter and stick-slip vibration appearing in sequence with the decrease of excitation speed, and that the system invariably converges to the same stable singular point or the same limit cycle in the full phase plane. |
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| Keywords: | friction chatter cell mapping nonlinear global behavior |
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