噪声与振动控制

›› 2009, Vol. 29 ›› Issue (5): 43-46.DOI: 10.3969/j.issn.1006-1355.2009.05.012

• 论文 • 上一篇    下一篇

《结合部系统的混沌与分岔的研究》

张文革，王宇，殊海燕，王世军，苏丹，赵金娟   

  1. （1.西安职业技术学院 ，西安710077；西安理工大学机械与精密仪器工程学院 ，西安 7100483；黑龙江科技学院机械工程学院， 哈尔滨150027； 4. 西安理工大学印刷包装工程学院 ，西安 710048）
  • 收稿日期:2009-05-04 修回日期:1900-01-01 出版日期:2009-10-18 发布日期:2009-10-18
  • 通讯作者: 张文革

《Study on Bifurcations and Chaos of Slideway-Joint System》

Zhang Wenge, Wang Yu, Shu Haiyan, Wang Shijun, Su Dan, Zhao Jinjuan   

  1. ( 1. Xi’an Vocational and Technical Institute, Xi’an 710077; 2. School of Mechanical and Precise Instrument, Xi’an University of Technology, Xi’an 710048; 3.School of Mechanical Engineering Instrument, Heilongjiang niversity of Technology and Science, Harbin 150027; 4.School of Printing and Packaging Engineering, Xi’an University of Technology, Xi’an 710048 )
  • Received:2009-05-04 Revised:1900-01-01 Online:2009-10-18 Published:2009-10-18
  • Contact: Zhang Wenge

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摘要：

研究了机床导轨结合部系统的非线性动力学行为。考虑到系统在实际接触振动过程中具有滞回模型的特点，建立了分析该类系统的数学模型，并应用渐进法求出系统的等效阻尼和等效刚度系数。采用Range-Kutta法对系统方程进行了数值计算，并讨论了系统在改变阻尼条件下的非线性动力响应问题。最后发现阻尼在一定范围内变化时，系统会出现混沌运动。

关键词: 非线性动力学, Range-Kutta法, 阻尼, 混沌

Abstract:

The nonlinear dynamic behavior of the slideway-joint system of machine tools is studied. Taking into account the hysteretic characteristics of this system in contact vibration, a mathematical model for dynamic analysis is established. By means of asymptotic method, the coefficients of damping and stiffness equivalent to the hysteresis are obtained. Range-Kutta method is used to solve the system equation. The nonlinear dynamic responses of the guideway-joint system for different damping coefficients are discussed. The result shows that the chaotic vibration will occur when the damping oefficient varies in some range.

Key words: nonliear dynamics, Range-Kutta method, damping, chaos

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