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| 小摄动弱非线性系统的参数辨识 | |
| 引用本文： | 彭解华,赵成林,王为平. 小摄动弱非线性系统的参数辨识[J]. 湘潭大学自然科学学报, 2005, 27(1): 40-42,46 |
| 作者姓名： | 彭解华 赵成林 王为平 |
| 作者单位： | 1. 湘潭大学,土木工程与力学学院,湖南,湘潭,411105;邵阳学院,物理系,湖南,邵阳,422000 2. 邵阳学院,物理系,湖南,邵阳,422000 3. 东莞科技大学,工程力学系,广东,东莞,523106 |
| 基金项目： | 国家自然科学基金资助项目 (10 3 72 0 87) |
| 摘 要： | 非线性振动系统的参数辨识在结构动力特性研究及其振动控制中有着重要的作用.针对一类一般非线性系统提出了一个参数辨识的新方法.将小摄动量引入弱非线性系统中,应用多尺度方法获得系统的频响函数,接着利用非线性参数方法转换将原频响函数转化为线性函数,最后采用最小二乘法来辨识线性频率响应函数中的参数 |
| 关 键 词： | 参数辨识 非线性系统 最小二乘法 非线性变换 |
Parameter Identification for Weakly Nonlinear System with Small Perturbation |
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| PENG Jie-hua,ZHAO Cheng-lin,WANG Wei-ping. Parameter Identification for Weakly Nonlinear System with Small Perturbation[J]. Natural Science Journal of Xiangtan University, 2005, 27(1): 40-42,46 | |
| Authors: | PENG Jie-hua ZHAO Cheng-lin WANG Wei-ping |
| Affiliation: | PENG Jie-hua~ |
| Abstract: | The problem of identifying parameters of nonlinear vibration system plays very important role in studying the dynamic property and controlling oscillation of the system. A new method to identify the parameters of a class of universal nonlinear vibration system is presented in this paper. By introducing small perturbation to the weakly nonlinear system the frequency response function is obtained with multiple scales method. And then, the function is transformed into the linear function with respect to the parameters by means a nonlinear parameter transformation. Finally the least square method is employed to the new frequency response function and the parameter is identified. |
| Keywords: | Parameter Identification Nonlinear System Least Square Method Nonlinear Transformation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |