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| Research on nonlinear system based on output frequency response functions |
| HAN Haitao1, MA Hongguang1, LI Fei2, ZHANG Jialiang3 |
1. Staff Office 101 of the Second Artillery Engineering College, Xian 710025, China;
2. Military Representative Office of the Second Artillery Equipment Repair Factory, Wuhan 430000, China;
3. State Key Laboratory for Manufacturing for Systems Engineering, Xian Jiaotong University, Xian 710049, China |
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Abstract The relationship between system frequency response functions and model parameters which defines system nonlinearities has been studied based on output frequency response functions(OFRF). A new method which could be used to study nonlinear system was proposed. This method clearly expressed the relationship between system frequency response functions and model parameters by a polynomial. This method would be the basis of nonlinear system studying and fault diagnosis. The mathematical model of automotive shock absorbers was provided. OFRF were determined by system simulation and experimental data, and then the system output was estimated by OFRF. Simulation results prove that OFRF method is an effective way to study nonlinear system and of great practical value．
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Published: 28 October 2011
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基于系统输出频率响应函数的非线性系统研究
根据非线性系统输出频率响应函数(output frequency response functions, OFRF)理论,研究了系统输出频谱与参数之间的关系,提出一种研究非线性系统特性的新方法.该方法可以通过一个多项式清晰地表达出非线性系统输出频谱与非线性项参数之间关系,为非线性系统设计、研究及故障诊断打下一个重要的基础.结合减震系统的数学模型,通过仿真及实验数据确定该系统的OFRF,并运用OFRF估算系统输出,仿真结果表明OFRF这个概念在研究非线性系统研究中十分有效,具有重要应用价值.
关键词：
OFRF,
Volterra级数,
非线性系统,
减震系统,
故障诊断
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