| 非线性动力学系统的辨识：时频滤波与骨架曲线 |
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| 引用本文： | 王丽丽,张景绘.非线性动力学系统的辨识：时频滤波与骨架曲线[J].应用数学和力学,2001,22(2):182-190. |
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| 作者姓名： | 王丽丽 张景绘 |
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| 作者单位： | 1. 西安交通大学 建筑工程与力学学院;中国科学院 力学研究所
2. 西安交通大学 建筑工程与力学学院, |
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| 基金项目： | 国家自然科学基金资助项目（19632001）；西安交通大学在职博士基金项目；中国博士后基金项目 |
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| 摘 要： | 利用非平稳信号的时频分析方法研究了一类非线性系统的频率特性和阻尼特性随运动形态的变化规律，得到了能简洁、直观地反映系统基本非线性动力学特性的广义骨架线性系统（简称GSLS）和骨架曲线。在此基础上，利用时频滤波方法根据系统非平稳响应信号对非线性系统进行辨识。该项工作为非线性系统反问题的研究提供了一条新的途径。
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| 关 键 词： | 非线性动力学系统 非平稳信号 时频分析 时频滤波 系统辨识 骨架曲线 |
| 文章编号： | 1000-0887(2001)02-0182-09 |
| 修稿时间： | 2000年3月6日 |
Identification of
Nonlinear Dynamic Systems: Time-Frequency Filtering and Skeleton Curves |
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| WANG Li_li ,ZHANG Jing_hui.Identification of
Nonlinear Dynamic Systems: Time-Frequency Filtering and Skeleton Curves[J].Applied Mathematics and Mechanics,2001,22(2):182-190. |
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| Authors: | WANG Li_li ZHANG Jing_hui |
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| Institution: | WANG Li_li 1,2,ZHANG Jing_hui 1 |
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| Abstract: | The nonlinear behavior varying with the instantaneous response was analyzed through the joint time_frequency analysis method for a class of S.D.O.F nonlinear system. A masking operator on definite regions is defined and two theorems are presented. Based on these, the nonlinear system is modeled with a special time_varying linear one, called the generalized skeleton linear system(GSLS). The frequency skeleton curve and the damping skeleton curve are defined to describe the main feature of the non_linearity as well. Moreover, an identification method is proposed through the skeleton curves and the time_frequency filtering technique. |
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| Keywords: | system identification nonlinear dynamic system non_stationary signal time_frequency analysis Hilbert transform |
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