面向缩聚模型的结构损伤识别研究
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摘要
为了减少结构健康监测系统中传感器的数量,创新性地结合缩聚原理和自适应二次乘方和误差法提出了一种面向缩聚模型的结构损伤识别方法.根据模型缩聚原理对结构有限元模型进行了缩聚,依据缩聚后有限元模型、利用自适应二次乘方和误差法对结构参数进行了识别和追踪,从而实现了结构损伤的识别.对某一大型平面桁架结构进行了仿真,期间考虑了白噪声和地震波的影响;对某一悬臂梁结构进行了实验,以研究白噪声、正弦、拟El-Centro 3种激励下的6种情况.结果表明:所提方法只需使用少量的传感器便可精确地识别出结构中损伤的发生时刻和损伤的程度及位置,仿真结果的最大误差小于3%,实验结果的最大误差小于5%.
In order to reduce the number of sensors in structure health monitoring systems,a structural damage identification method using the reduced order finite-element model was proposed by combining the adaptive quadratic sum-squares error approach.From the model reduction method,the structure finite element model is reduced.Moreover,using the reduced-order finite-element method and the adaptive quadratic sum-squares error approach,structural parameters can be identified and tracked,and then structural damages can be identified.A simulation test was performed on a large span plane truss considering white noise excitation and El-Centro earthquake excitation.The experimental tests were conducted on a scaled cantilever beam with the consideration of six cases under three excitations,including white noise,sinusoidal excitation,and El-Centro excitation.The simulation and experimental results show that the method proposed can effectively detect the structural damages including the damage location and severity with only a few sensors.
In order to reduce the number of sensors in structure health monitoring systems,a structural damage identification method using the reduced order finite-element model was proposed by combining the adaptive quadratic sum-squares error approach.From the model reduction method,the structure finite element model is reduced.Moreover,using the reduced-order finite-element method and the adaptive quadratic sum-squares error approach,structural parameters can be identified and tracked,and then structural damages can be identified.A simulation test was performed on a large span plane truss considering white noise excitation and El-Centro earthquake excitation.The experimental tests were conducted on a scaled cantilever beam with the consideration of six cases under three excitations,including white noise,sinusoidal excitation,and El-Centro excitation.The simulation and experimental results show that the method proposed can effectively detect the structural damages including the damage location and severity with only a few sensors.
引文
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[14]张德文.结构动力分析中的逐级近似缩聚法[J].固体力学学报,1994,15(4):360-364.ZHANG Dewen.Succession-level approximate reduc-tion technique(SART)in structural dynamic analysis[J].Chinese Journal of Solid Mechanics,1994,15(4):360-364.
[15]BERNAL D.Load vectors for damage localization[J].Journal of Engineering Mechanics,2002,128(1):7-14.
[16]BERNAL D,BECK J.Special section:phase I of theIASC-ASCE structural health monitoring benchmark[J].ASCE Journal of Engineering Mechanics,2004,130(1):1-127.
考虑损伤程度的设备运行可靠性研究.西安交通大学学报,2010,44(1):36-40.
钢-钢接触的扭动微动磨损氧化行为研究.西安交通大学学报,2009,43(9):86-90.
热应力对金属棒料内部损伤的机理研究.西安交通大学学报,2009,43(1):99-102.
液固高速撞击时材料表面损伤的数值模拟.西安交通大学学报,2008,42(11):1435-1440.
考虑各向同性塑性损伤的钢结构塑性区分析方法.西安交通大学学报,2008,42(7):7885-890.
密肋复合墙体双参数地震损伤模型研究.西安交通大学学报,2007,41(7):852-856.
[2]HOSHIYA M,SAITO E.Structural identification byextended Kalman filter[J].ASCE Journal of Engi-neering Mechanics,1984,110(12):1757-1771.
[3]YANG J N,LIN S,HUANG H,et al.An adaptiveextended Kalman filter for structural damage identifi-cation[J].Journal of Structural Control and HealthMonitoring,2006,13(4):849-867.
[4]吴新亚,周丽.基于有限范围自适应卡尔曼滤波的结构损伤识别方法[J].振动工程学报,2007,20(4):401-406.WU Xinya,ZHOU Li.A finite-horizon adaptive Kal-man filter for structural damage identification[J].Journal of Vibration Engineering,2007,20(4):401-406.
[5]周丽,吴新亚,尹强,等.基于自适应卡尔曼滤波方法的结构损伤识别实验研究[J].振动工程学报,2008,21(2):197-202.ZHOU Li,WU Xinya.,YIN Qiang.Experimentalstudy of an adaptive extended Kalman filter for struc-tural damage identification[J].Journal of VibrationEngineering,2008,21(2):197-202.
[6]ZHOU L,WU S Y,YANG J N.Experimental studyof an adaptive extended Kalman filter for structuraldamage identification[J].Journal of InfrastructureSystems,2008,14(1):42-51.
[7]LIN J W,BETTI R,SMYTH A W,et al.On-lineidentification of nonlinear hysteretic structural systemsusing a variable trace approach[J].Earthquake EngStruct Dyn,2001,30(9):1279-1303.
[8]YANG J N,HUANG H.Sequential non-linear least-square estimation for damage identification of struc-tures[J].International Journal of Non-Linear Me-chanics,2006,41(1):124-140.
[9]YANG J N,HUANG H.Sequential non-linear least-square estimation for damage identification of struc-tures with unknown inputs and unknown outputs[J].International Journal of Non-Linear Mechanics,2007,42(5):789-801.
[10]HUANG H,YANG J N.Damage identification ofsubstructure for local health monitoring[J].Journalof Smart Structures and Systems,2008,4(6):795-807.
[11]YANG J N,HUANG H,PAN S.Adaptive quadraticsum-squares error for structural damage identification[J].ASCE Journal of Engineering Mechanics,2009,135(2):67-77.
[12]HUANG H,YANG J N,ZHOU L.Adaptive quad-ratic sum-squares error with unknown inputs for dam-age identification of structures[J].Control andHealth Monitoring,2010,17(4):404-426.
[13]GUYAN R J.Reduction of stiffness and mass matrices[J].AIAA Journal,1965,3(2):380-380.
[14]张德文.结构动力分析中的逐级近似缩聚法[J].固体力学学报,1994,15(4):360-364.ZHANG Dewen.Succession-level approximate reduc-tion technique(SART)in structural dynamic analysis[J].Chinese Journal of Solid Mechanics,1994,15(4):360-364.
[15]BERNAL D.Load vectors for damage localization[J].Journal of Engineering Mechanics,2002,128(1):7-14.
[16]BERNAL D,BECK J.Special section:phase I of theIASC-ASCE structural health monitoring benchmark[J].ASCE Journal of Engineering Mechanics,2004,130(1):1-127.
考虑损伤程度的设备运行可靠性研究.西安交通大学学报,2010,44(1):36-40.
钢-钢接触的扭动微动磨损氧化行为研究.西安交通大学学报,2009,43(9):86-90.
热应力对金属棒料内部损伤的机理研究.西安交通大学学报,2009,43(1):99-102.
液固高速撞击时材料表面损伤的数值模拟.西安交通大学学报,2008,42(11):1435-1440.
考虑各向同性塑性损伤的钢结构塑性区分析方法.西安交通大学学报,2008,42(7):7885-890.
密肋复合墙体双参数地震损伤模型研究.西安交通大学学报,2007,41(7):852-856.
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