李宁, 李忠献, 谢礼立. 基于UKF的双轴耦联Bouc-Wen模型识别与应用[J]. 工程力学, 2013, 30(7): 1-6. DOI: 10.6052/j.issn.1000-4750.2012.02.0126
引用本文: 李宁, 李忠献, 谢礼立. 基于UKF的双轴耦联Bouc-Wen模型识别与应用[J]. 工程力学, 2013, 30(7): 1-6. DOI: 10.6052/j.issn.1000-4750.2012.02.0126
LI Ning, LI Zhong-xian, XIE Li-li. UKF BASED PARAMETER IDENTIFICATION AND APPLICATION OF DUAL-AXIAL COUPLED BOUC-WEN MODEL[J]. Engineering Mechanics, 2013, 30(7): 1-6. DOI: 10.6052/j.issn.1000-4750.2012.02.0126
Citation: LI Ning, LI Zhong-xian, XIE Li-li. UKF BASED PARAMETER IDENTIFICATION AND APPLICATION OF DUAL-AXIAL COUPLED BOUC-WEN MODEL[J]. Engineering Mechanics, 2013, 30(7): 1-6. DOI: 10.6052/j.issn.1000-4750.2012.02.0126

基于UKF的双轴耦联Bouc-Wen模型识别与应用

UKF BASED PARAMETER IDENTIFICATION AND APPLICATION OF DUAL-AXIAL COUPLED BOUC-WEN MODEL

  • 摘要: Bouc-Wen模型常用于非线性滞回模拟,具有滞回曲线连续可微、可考虑退化、拈缩等非线性效应的优点。该文在双轴Bouc-Wen模型的基础上,提出了适用于单向偏心结构的平扭耦联Bouc-Wen模型,导出状态方程并利用无色Kalman滤波器(UKF)对其进行参数辨识。结合单向偏心结构的等效二自由度模型(EDDOF),利用UKF对其非线性反应信号进行系统辨识,进行了应用研究。结果表明:UKF可对双轴耦联系统的状态及参数进行快速高效识别,且精度可靠,通过单向偏心结构地震反应分析和辨识验证了其适用性和可靠性。该模型亦可表征广义系统状态,拓展应用于结构监测控制、可靠性和随机反应分析等相关研究领域的应用。

     

    Abstract: A Bouc-Wen model is commonly used in the simulation of structural nonlinear hysteretic responses. It has the advantage that the hysteretic curve is continuously differentiable while it is capable of taking into account the degradation and pinching effect etc. In this study, a lateral-rotational coupled Bouc-Wen model appropriate for the nonlinear analysis of one-way plan-asymmetric structures is proposed based on the dual-axial coupled Bouc-Wen model. The parameters of the coupled Bouc-Wen model are identified through Unscented Kalman Filter (UKF). Then, by using the equivalent dual-degree of the freedom (EDDOF) model of the one-way plan-asymmetric structures, the feasibility of the UKF in the structural system identification through nonlinear response signal analysis is studied. It is demonstrated that UKF is well applicable to the identification of the state and parameters of a coupled Bouc-Wen model with high efficiency and reliable accuracy. The applicability and reliability of the proposed method is further verified by the asymmetric structural seismic response analysis. The proposed model can be generally rewritten into a state-space model which applications can be extended to research fields such as the monitoring and control, reliability analysis and stochastic analysis of structures.

     

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