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基于NARMAX模型和NOFRF结构损伤检测的实验研究
引用本文:程长明,彭志科,孟光.基于NARMAX模型和NOFRF结构损伤检测的实验研究[J].动力学与控制学报,2013,11(1):89-96.
作者姓名:程长明  彭志科  孟光
作者单位:上海交通大学,机械系统与振动国家重点实验室,上海200240
基金项目:国家杰出青年科学基金资助项目(11125209)和国家自然科学基金资助项目(10902068, 51121063)
摘    要:非线性输出频率响应函数是由Volterra级数发展而来的频域概念,可方便在频域对非线性系统进行分析,它是频率的一维函数.本文主要介绍了利用NARMAX模型以及NOFRF对结构进行损伤检测的方法,并利用实验研究证实了该损伤检测方法的可行性.另外,由于系统非线性特性可用来做结构损伤检测,且具有对系统状态比较敏感的优点,而基于NOFRF的损伤检测方法是利用非线性方法来分析系统的状态,该方法提取出的特征属于非线性特征,所以该损伤检测方法可以用来做结构损伤检测,且具有对系统状态比较敏感的优点.

关 键 词:Volterra级数  NARMAX模型  非线性输出频率响应函数  广义频率响应函数  损伤检测
收稿时间:2012/4/21 0:00:00
修稿时间:2012/6/11 0:00:00

The experimental study of structural damage detection based on NARMAX model and NOFRF
Cheng Changming,Peng Zhike and Meng Guang.The experimental study of structural damage detection based on NARMAX model and NOFRF[J].Journal of Dynamics and Control,2013,11(1):89-96.
Authors:Cheng Changming  Peng Zhike and Meng Guang
Affiliation:Cheng Changming Peng Zhike Meng Guang (State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China)
Abstract:The nonlinear output frequency response functions(NOFRF) which is derived from the Volterra series can facilitate the analysis of nonlinear systems in frequency domain, it is a one dimensional function of frequency. The paper introduces the structural damage detection method which is based on NARMAX model and NOFRF. An experimental study demonstrates the feasibility of the structural damage detection method. Because the nonlinear characteristics of system can be used for the detection of structural damage, and is sensitive about the state of system, in addition, the structural damage detection method which is based on NARMAX model and NOFRF is a nonlinear method for analyzing the state of system, the characteristics extracting from system is a nonlinear characteristics, so the damage detection method can be used for the detection of structural damage, and has the advantage which is sensitive to the state of system.
Keywords:Volterra series  NARMAX model  nonlinear output frequency response functions  damage detection
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