基于WMRA的隔震结构时变非线性参数识别
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摘要
基于小波多分辨率分析(wavelet multi-resolution analysis,简称WMRA)理论,建立结构时变非线性参数识别方法,研究隔震结构在地震作用下表现出来的时变非线性力学行为。首先,以描述隔震支座的迟滞非线性Boucwen模型为研究对象,引入3阶有效数值差分技术,将运动方程中非线性模型的恢复力增量进行线性化,形成递推观测方程;其次,基于WMRA理论,将观测方程中每一待识别参数采用小波多分辨率展开,将模型参数识别问题转化成多元线性回归模型中小波重构系数的估计问题;最后,分别采用数值模拟、串联隔震体系(serial seismic isolation system,简称SIS)振动台试验测试数据,识别结构及隔震层参数随时间的演化规律,验证该识别方法的正确性和适用性,为隔震结构在施工、运营期各阶段状态评估提供一定参考。
In order to study the time-varying nonlinear mechanical behavior of isolated structures under earthquake action,a novel method of identifying time-varying nonlinear parameters of isolated structures is proposed based on wavelet multi-resolution analysis(WMRA)theory.The classic hysteresis nonlinear Bouc-wen model used to describe isolation bearings is studied.In the motion equation established,the three-order effective numerical difference technique is cited to linearize increment expression of restoring force in nonlinear model and form a recursive observation equation.The time-varying parameters to be identified in observation equation are expressed approximately using WMRA,and their identification can be transformed into time-invariant wavelet reconstruction coefficient estimation in multivariable linear regression model.Numerical simulation and shaking table test data of serial seismic isolation system(SIS)are employed to identify evolution law with time of structural parameters and isolation layer parameters,and correctness and applicability of the method are verified.It can be used to evaluate mechanical states of the isolated structures during both construction period and operation period.
In order to study the time-varying nonlinear mechanical behavior of isolated structures under earthquake action,a novel method of identifying time-varying nonlinear parameters of isolated structures is proposed based on wavelet multi-resolution analysis(WMRA)theory.The classic hysteresis nonlinear Bouc-wen model used to describe isolation bearings is studied.In the motion equation established,the three-order effective numerical difference technique is cited to linearize increment expression of restoring force in nonlinear model and form a recursive observation equation.The time-varying parameters to be identified in observation equation are expressed approximately using WMRA,and their identification can be transformed into time-invariant wavelet reconstruction coefficient estimation in multivariable linear regression model.Numerical simulation and shaking table test data of serial seismic isolation system(SIS)are employed to identify evolution law with time of structural parameters and isolation layer parameters,and correctness and applicability of the method are verified.It can be used to evaluate mechanical states of the isolated structures during both construction period and operation period.
引文
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[9]黄东梅,周实,任伟新.基于小波变换的时变及典型非线性振动系统识别[J].振动与冲击,2014,33(13):124-129.Huang Dongmei,Zhou Shi,Ren Weixin.Parameter identification of time-varying and typical nonlinear vibration system based on wavelet transform[J].Journal of Vibration and Shock,2014,33(13):124-129.(in Chinese)
[10]Shi Yuanfeng,Chang C C.Wavelet-based identification of time-varying shear-beam buildings using incomplete and noisy measurement data[J].Nonlinear Engineering,2013,2(12):29-37.
[11]许鑫,史治宇,Wieslaw J S,等.利用加速度响应连续小波变换的时变系统物理参数识别[J].振动工程学报,2013,26(1):8-14.Xu Xin,Shi Zhiyu,Wieslaw J S,et al.Time-varying system physical parameters identification using the continuous wavelet transform of acceleration response[J].Journal of Vibration Engineering,2013,26(1):8-14.(in Chinese)
[12]王超,朱宏平,吴巧云,等.基于小波多分辨率分析的结构时变参数识别[J].华中科技大学学报:自然科学版,2016,44(10):31-35.Wang Chao,Zhu Hongping,Wu Qiaoyun,et al.Time-varying parameter identification of structure using wavelet multiresolution analysis[J].Journal of Huazhong University of Science and Technology:Nature Science Edition,2016,44(10):31-35.(in Chinese)
[13]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,1999:50-53.
[14]Yang J N,Lin S.On-line identification of non-linear hysteretic structures using an adaptive tracking technique[J].International Journal of Non-Linear Mechanics,2004(2):1481-1491.
[15]赵丽洁,杜永峰,李万润,等.基于小波多分辨率分析的时变结构参数识别研究[J].工程力学,2016,33(9):94-102.Zhao Lijie,Du Yongfeng,Li Wanrun,et al.Physical parameter identification of time-varying structure based on wavelet muli-resolution analysis[J].Engineering Mechanics,2016,33(9):94-102.(in Chinese)
[16]杜永峰,吴忠铁,朱前坤.基于试验的串联隔震体系非线性力学性能有限元分析[J].土木工程学报,2015(7):20-29.Du Yongfeng,Wu Zhongtie,Zhu Qiankun.Finite element analysis of nonlinear mechanical behavior of series seismicisolation system based on tests[J].China Civil Engineering Journal,2015(7):20-29.(in Chinese)
[2]Chang C H.Modeling of laminated rubber bearings using an analytical stiffness matrix[J].International Journal of Solids and Structures,2002,39(24):6055-6078.
[3]Furukawa T,Ito M,Izawa K,et al.System identification of base-isolated building using seismic response data[J].Journal of Engineering Mechanics,2005,131(3):268-275.
[4]江宜城,聂肃非,叶志雄,等.多铅芯橡胶隔震支座非线性力学性能试验研究及其显式有限元分析[J].工程力学,2008,27(7):11-16.Jiang Yicheng,Nie Sufei,Ye Zhixiong,et al.Experimental study on mechanical properties of multi-lead rubber rubber bearing and its explicit finite element analysis[J].Engineering Mechanics,2008,27(7):11-16.(in Chinese)
[5]Yin Qiang,Zhou Li,Wang Xinming.Parameter identification of hysteretic rubber-bearing based on sequential nonlinear least-square estimation[J].Earthquake Engineering and Engineering Vibration,2010,9(3):375-383.
[6]尹强,周丽.基于ASNLSE方法的橡胶隔震结构损伤识别[J].振动、测试与诊断,2012,32(5):710-715.Yin Qiang,Zhou Li.Damageidentification for rubberbearing isolated structure based on ASNLSE method[J].Journal of Vibration,Measurement&Diagnosis,2012,32(5):710-715.(in Chinese)
[7]雷鹰,何明煜,林树枝.结构中基底橡胶隔震支座非线性特性的无模型识别[J].振动与冲击,2013,32(20):1-4.Lei Ying,He Mingyu,Lin Shuzhi.Model-free identification for nonlinear properties of rubber-bearings in base-isolated buildings[J].Journal of Vibration and Shock,2013,32(20):1-4.(in Chinese)
[8]杜永峰,赵丽洁,李万润,等.基础隔震结构橡胶支座时变非线性特性识别[J].振动、测试与诊断,2016,36(1):86-91.Du Yongfeng,Zhao Lijie,Li Wanrun,et al.Identification for time-varying nonlinear properties of rubberbearings in base isolated buildings[J].Journal of Vibration,Measurement&Diagnosis,2016,36(1):86-91.(in Chinese)
[9]黄东梅,周实,任伟新.基于小波变换的时变及典型非线性振动系统识别[J].振动与冲击,2014,33(13):124-129.Huang Dongmei,Zhou Shi,Ren Weixin.Parameter identification of time-varying and typical nonlinear vibration system based on wavelet transform[J].Journal of Vibration and Shock,2014,33(13):124-129.(in Chinese)
[10]Shi Yuanfeng,Chang C C.Wavelet-based identification of time-varying shear-beam buildings using incomplete and noisy measurement data[J].Nonlinear Engineering,2013,2(12):29-37.
[11]许鑫,史治宇,Wieslaw J S,等.利用加速度响应连续小波变换的时变系统物理参数识别[J].振动工程学报,2013,26(1):8-14.Xu Xin,Shi Zhiyu,Wieslaw J S,et al.Time-varying system physical parameters identification using the continuous wavelet transform of acceleration response[J].Journal of Vibration Engineering,2013,26(1):8-14.(in Chinese)
[12]王超,朱宏平,吴巧云,等.基于小波多分辨率分析的结构时变参数识别[J].华中科技大学学报:自然科学版,2016,44(10):31-35.Wang Chao,Zhu Hongping,Wu Qiaoyun,et al.Time-varying parameter identification of structure using wavelet multiresolution analysis[J].Journal of Huazhong University of Science and Technology:Nature Science Edition,2016,44(10):31-35.(in Chinese)
[13]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,1999:50-53.
[14]Yang J N,Lin S.On-line identification of non-linear hysteretic structures using an adaptive tracking technique[J].International Journal of Non-Linear Mechanics,2004(2):1481-1491.
[15]赵丽洁,杜永峰,李万润,等.基于小波多分辨率分析的时变结构参数识别研究[J].工程力学,2016,33(9):94-102.Zhao Lijie,Du Yongfeng,Li Wanrun,et al.Physical parameter identification of time-varying structure based on wavelet muli-resolution analysis[J].Engineering Mechanics,2016,33(9):94-102.(in Chinese)
[16]杜永峰,吴忠铁,朱前坤.基于试验的串联隔震体系非线性力学性能有限元分析[J].土木工程学报,2015(7):20-29.Du Yongfeng,Wu Zhongtie,Zhu Qiankun.Finite element analysis of nonlinear mechanical behavior of series seismicisolation system based on tests[J].China Civil Engineering Journal,2015(7):20-29.(in Chinese)
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