| 多自由度局部非线性系统频域响应及非线性位置的辨识方法 |
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| 引用本文： | 姚红良,韩清凯,冯霏,闻邦椿.多自由度局部非线性系统频域响应及非线性位置的辨识方法[J].动力学与控制学报,2011,9(2):107-110. |
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| 作者姓名： | 姚红良 韩清凯 冯霏 闻邦椿 |
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| 作者单位： | 东北大学机械工程与自动化学院,沈阳〓110004 |
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| 基金项目： | 国家自然科学基金资助项目(51005042,50775028) |
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| 摘 要： | 研究了因与外部接触而发生局部非线性的动力学系统.基于NOFRF理论,对系统中出现的各次谐波分量进行研究,推导出了该类系统各自由度各阶谐波分量的表达式.证明了该类动力学系统中各自由度之间高次谐波分量的与原线性系统动柔度矩阵的相关元素成正比关系,并据此提出了一种简洁的局部非线性位置的辨识方法.采用这种方法,可以通过结构体中任意两个部位之间的高次谐波分量的比值关系,经过一次谐波激励而辨识出非线性的具体位置.对一个多自由度系统进行数值仿真,验证了该方法的有效性.
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| 关 键 词： | 局部非线性 非线性输出频率响应函数 高次谐波 辨识 |
| 收稿时间： | 2010/12/16 0:00:00 |
| 修稿时间： | 4/8/2011 12:00:00 AM |
Nofrf of the locally nonlinear MDOF system and the detection method of the nonlinearity position |
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| Yao Hongliang,Han Qingkai,Feng Fei and Wen Bangchun.Nofrf of the locally nonlinear MDOF system and the detection method of the nonlinearity position[J].Journal of Dynamics and Control,2011,9(2):107-110. |
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| Authors: | Yao Hongliang Han Qingkai Feng Fei and Wen Bangchun |
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| Affiliation: | Yao Hongliang Han Qingkai Feng Fei Wen Bangchun(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110004,China) |
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| Abstract: | The dynamical system with local nonlinearity induced by the contact with outside subjects was studied.The harmonic components including the super-harmonic components were investigated.The relationship between the super-harmonic components of the system response and the frequency response matrix of the linear system was revealed.Then,a simple and fast nonlinearity position identification method was presented.Using this method,the nonlinearity position can be identified based on only two vibration responses o... |
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| Keywords: | local nonlinear nonlinear output frequency response functions high harmonics identification |
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