| 一次近似下的非线性减振器的分岔分析 |
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| 引用本文： | 吴生玉,高传玉,季颖,毕勤胜.一次近似下的非线性减振器的分岔分析[J].广西师范大学学报(自然科学版),2006,24(1):9-12. |
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| 作者姓名： | 吴生玉 高传玉 季颖 毕勤胜 |
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| 作者单位： | 1. 江苏大学机械工程学院,江苏,镇江,212013
2. 江苏大学理学院,江苏,镇江,212013 |
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| 摘 要： | 通过对一类内共振条件下的非线性减振器的数学模型进行分析,得到了一次近似下动力学的响应方程。发现系统存在有两类平衡解,平衡解的进一步失稳导致分岔现象的产生。揭示了阻尼、固有频率、激励频率等系统参数对其动力学行为的影响规律,给出了减振效果相对较好的参数条件,进而提出改善减振器效果的措施。
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| 关 键 词： | 非线性减振器 平均法 分岔 内共振 |
| 文章编号： | 1001-6600（2006）01-0009-04 |
| 收稿时间： | 2005-11-06 |
| 修稿时间： | 2005-11-06 |
First-Order Approximate Analysis on Bifurcation of Nonlinear Absorber |
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| WU Sheng-yu,GAO Chuan-yu,JI Ying,BI Qin-sheng.First-Order Approximate Analysis on Bifurcation of Nonlinear Absorber[J].Journal of Guangxi Normal University(Natural Science Edition),2006,24(1):9-12. |
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| Authors: | WU Sheng-yu GAO Chuan-yu JI Ying BI Qin-sheng |
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| Institution: | 1. School of Mechanical Engineering,Jiangsu University,Zhenjiang 212013,China;2. Faculty of Science ,Jiangsu University,Zhenjiang 212013 ,China |
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| Abstract: | The first-order approximate dynamic equations were obtained through analysis on the mathematical model of nonlinear absorber with internal resonance.It is found that two types of equilibrium points exist in the system with will lose their stabilities and undergo a simple bifurcation.The effect of system parameters like damping coefficient,natural frequency and excitation frequency etc.on their dynamical characteristics is proved.At last the more appropriate parameter conditions are given to improve the absorber's capabilities. |
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| Keywords: | nonlinear absorber averaging method bifurcation internal resonance |
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