| 多项式非线性系统的多维频率响应函数 |
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| 引用本文： | 张希农,张景绘.多项式非线性系统的多维频率响应函数[J].航空学报,1993,14(9):460-466. |
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| 作者姓名： | 张希农 张景绘 |
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| 作者单位： | 西安交通大学工程力学系,西安 710049 |
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| 基金项目： | 博士点基金，国家重点实验室基金 |
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| 摘 要： | 应用多维频率响应函数进行非线性系统的谱分析,是线性系统谱分析的推广。讨论了多项式非线性动力学系统的多维频率响应函数(MFRF)的结构形式及推导方法,证明多项式非线性动力学系统的高阶频率响应函数完全由一阶频率响应函数表示。并且讨论了多维频率响应函数的极点。为这类系统的参数识别和响应的谱分析提供了基础。
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| 关 键 词： | 非线性振动 多维频率响应函数 谱分析 参数识别 |
| 收稿时间： | 1992-03-02 |
| 修稿时间： | 1992-12-07 |
MFRF OF POLYNOMIAL NON-LINEAR SYSTEMS |
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| Zhang Xi-nong,Zhang Jing-hui.MFRF OF POLYNOMIAL NON-LINEAR SYSTEMS[J].Acta Aeronautica et Astronautica Sinica,1993,14(9):460-466. |
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| Authors: | Zhang Xi-nong Zhang Jing-hui |
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| Institution: | Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an, 710049 |
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| Abstract: | Multi-dimension Frequency Response Function (MFRF) is applied to the spectrum analysis of polynomial non-linear dynamical system with multi-degree freedom. The structural form and derivative manner of MFRF for polynomial non-liear dynamical system are presented in detail. It's proved that the higher order MFRF of polynomial non-linear dynamical system can be completely expressed by order-1 frequency response function of it. The poles of MFRF are discussed. A foundation is laid for parameter identification and response spectrum analysis of non linear systems. |
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| Keywords: | non-linear vibration multi-dimension frequency response function spectrum analysis parameter identification |
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