金属橡胶隔振器产生混沌的解析预测

唐果; 陈安华; 郭源君

金属橡胶隔振器产生混沌的解析预测

1.
湖南科技大学数学与计算科学学院,湖南湘潭 411201
2.
湖南科技大学机械设备健康维护湖南省重点实验室,湖南湘潭 411201

基金项目: 国家自然科学基金(51175172); 湖南省自然科学基金(10JJ6008)

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- 被引次数: 0
出版历程
- 收稿日期: 2011-10-03
- 刊出日期: 2012-08-28

Chaotic prediction of metal rubber damper for occurred chaos

1.
School of Mathematics and Computing Science, Hunan University of Science and Technology,Xiangtan Hunan 41120,China
2.
Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology,Xiangtan Hunan 41120,China

摘要

摘要: 在考虑金属橡胶隔振系统的非线性刚度和非线性迟滞恢复力的基础上,建立了金属橡胶隔振器的非线性动力学方程.根据非线性振动理论,得出了系统在弱非线性情况下的一次谐波慢变参数的平均化方程;推出了谐波慢变参数状态方程的离散化映射,获得了金属橡胶隔振器出现混沌的解析条件.
- 金属橡胶 /
- 隔振器 /
- 混沌 /
- 参数条件 /
- 解析预测
Abstract: The nonlinear dynamics equation of a metal rubber damper with nonlinear stiffness and nonlinear hysteresis resilience was proposed.According to non-linear vibration theory,the average equation of slowly-varying parameters was obtained in the weakly nonlinear case.The discrete mapping of the status equation of harmonic wave slowly-varying parameters was developed.The analytical condition of occurred chaos for metal rubber damper was obtained.
- metal rubber /
- damper /
- chaos /
- parameter condition /
- analytical prediction

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参考文献(24)

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