| 金属橡胶隔振器产生混沌的解析预测 |
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| 引用本文： | 唐果,陈安华,郭源君.金属橡胶隔振器产生混沌的解析预测[J].航空动力学报,2012,27(8):1752-1757. |
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| 作者姓名： | 唐果 陈安华 郭源君 |
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| 作者单位： | 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 |
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| 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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| 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.
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| 关 键 词： | 金属橡胶 隔振器 混沌 参数条件 解析预测 |
| 收稿时间： | 2011/10/3 0:00:00 |
Chaotic prediction of metal rubber damper for occurred chaos |
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| TANG Guo,CHEN An-hua and GUO Yuan-jun.Chaotic prediction of metal rubber damper for occurred chaos[J].Journal of Aerospace Power,2012,27(8):1752-1757. |
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| Authors: | TANG Guo CHEN An-hua and GUO Yuan-jun |
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| Institution: | School of Mathematics and Computing Science, Hunan University of Science and Technology,Xiangtan Hunan 41120,China;Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology,Xiangtan Hunan 41120,China;Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology,Xiangtan Hunan 41120,China |
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| 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. |
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| Keywords: | metal rubber damper chaos parameter condition analytical prediction |
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