基于简化模型的超高层结构传感器优化布置
|
摘要
对于自由度较多的超高层结构,传感器优化布置时应考虑多阶模态振型。由于存在空间耦合振动,根据振型质量参与系数难以准确选择出结构弱轴方向的高阶振型。基于等效刚度参数识别法,本文提出了一种将有限元模型沿弱轴方向先简化为等效串联多自由度体系,然后根据简化结构的物理参数来计算弱轴方向振型矩阵的方法,有效地解决了这一问题。以某超高层结构为例,根据计算得到的系统振型矩阵,首先由其转置的列主元QR分解得到传感器的初始布置方案,然后以模态置信度(MAC)矩阵的最大非对角元为目标函数,采用逐步累积算法逐步增加可降低此初始布置MAC非对角元的结构自由度,并考虑经济性因素,最终确定出了传感器的布置方案。
The problem of sensor placement for a super high-rise building is discussed.Since the number of degree-of-freedom(DOF) of structure is large,multi-modes should be selected to describe the dynamic behavior of a structural system with sufficient accuracy to allow its health state to be determined effectively.A fundamental problem in analysis is how to accurately select the high-order modes.For this,a novel method computing the mode shape matrix of weak axis by simplified series multidegree-of-freedom system is developed based on the equivalent rigidity parameter identification method.The initial sensor assignment is obtained by the QR-factorization of the transpose of structural mode shape matrix.Taking the maximum off-diagonal element of the modal assurance criterion(MAC) matrix as a target function,adds one more sensor each time until the maximum off-diagonal element of MAC reaches the threshold.Considering the economic factor,the final plan of sensor placement of the building is determined.
The problem of sensor placement for a super high-rise building is discussed.Since the number of degree-of-freedom(DOF) of structure is large,multi-modes should be selected to describe the dynamic behavior of a structural system with sufficient accuracy to allow its health state to be determined effectively.A fundamental problem in analysis is how to accurately select the high-order modes.For this,a novel method computing the mode shape matrix of weak axis by simplified series multidegree-of-freedom system is developed based on the equivalent rigidity parameter identification method.The initial sensor assignment is obtained by the QR-factorization of the transpose of structural mode shape matrix.Taking the maximum off-diagonal element of the modal assurance criterion(MAC) matrix as a target function,adds one more sensor each time until the maximum off-diagonal element of MAC reaches the threshold.Considering the economic factor,the final plan of sensor placement of the building is determined.
引文
[1]李宏男,李东升.土木工程结构安全性评估、健康监测及诊断评述[J].地震工程与工程振动,2002,22(3):82-90.(LI Hong-nan,LI Dong-sheng.Safetyassessment,health monitoring and damage diagnosisfor structures in civil engineering[J].EarthquakeEngineering and Engineering Vibration,2002,22(3):82-90.(in Chinese))
[2]刘福强,张令弥.作动器/传感器优化配置的研究进展[J].力学进展,2000,30(4):506-516.(LIU Fu-qiang,ZHANG Ling-mi.Advances in optimal place-ment of actuators and sensors[J].Advances in Me-chanics,2000,30(4):506-516.(in Chinese))
[3]李宏男,等.结构健康监测[M].大连:大连理工大学出版社,2004.(LI Hong-nan,et al.StructuralHealth Monitoring[M].Dalian:Dalian University ofTechnology Press,2004.(in Chinese))
[4]刘斌,姚永丁,叶贵如.斜拉桥传感器优化布点的研究[J].工程力学,2005,22(5):171-176.(LIUBin,YAO Yong-ding,YE Gui-ru.Study of optimalsensor placement for cable-stayed bridge[J].Engi-neering Mechanics,2005,22(5):171-176.(in Chi-nese))
[5]HIROYUKI A.Design of Modern Highrise Rein-forced Concrete Structures[M].England:ImperialCollege Press,2002.
[6]孙焕纯,曲乃泗,林家浩.高等计算结构动力学[M].大连:大连理工大学出版社,1992.(SUNHuan-chun,QU Nai-si,LIN Jia-hao.ComputationalStructural Dynamics for High Education[M].Dalian:Dalian University of Technology Press,1992.(in Chinese))
[7]KAMMER D C.Sensor placement for on-orbit modalidentification and correlation of large space structures[J].Journal of Guidance,Control and Dynamics,1991,14(2):251-259.
[8]CARNE T G,DOHMANN C R.A modal test de-sign strategy for modal correlation[C].Proceedingsof the 13th International Modal Analysis Conference.New York:Union College,Schenectady,1995:927-933.
[9]秦仙蓉,张令弥.一种基于QR分解的逐步累积法传感器配置[J].振动、测试与诊断,2001,21(3):168-173.(QIN Xian-rong,ZHANG Ling-mi.Successivesensor placement for modal paring based on QR-fac-torization[J].Journal of Vibration,Measurement&Diagnosis,2001,21(3):168-173.(in Chinese))
[10]LI H N,YI T H,YI X D,et al.Measurement andanalysis of wind-induced response of tall buildingbased on GPS technology[J].Advances in StructuralEngineering,2007,10(1):83-93.
[2]刘福强,张令弥.作动器/传感器优化配置的研究进展[J].力学进展,2000,30(4):506-516.(LIU Fu-qiang,ZHANG Ling-mi.Advances in optimal place-ment of actuators and sensors[J].Advances in Me-chanics,2000,30(4):506-516.(in Chinese))
[3]李宏男,等.结构健康监测[M].大连:大连理工大学出版社,2004.(LI Hong-nan,et al.StructuralHealth Monitoring[M].Dalian:Dalian University ofTechnology Press,2004.(in Chinese))
[4]刘斌,姚永丁,叶贵如.斜拉桥传感器优化布点的研究[J].工程力学,2005,22(5):171-176.(LIUBin,YAO Yong-ding,YE Gui-ru.Study of optimalsensor placement for cable-stayed bridge[J].Engi-neering Mechanics,2005,22(5):171-176.(in Chi-nese))
[5]HIROYUKI A.Design of Modern Highrise Rein-forced Concrete Structures[M].England:ImperialCollege Press,2002.
[6]孙焕纯,曲乃泗,林家浩.高等计算结构动力学[M].大连:大连理工大学出版社,1992.(SUNHuan-chun,QU Nai-si,LIN Jia-hao.ComputationalStructural Dynamics for High Education[M].Dalian:Dalian University of Technology Press,1992.(in Chinese))
[7]KAMMER D C.Sensor placement for on-orbit modalidentification and correlation of large space structures[J].Journal of Guidance,Control and Dynamics,1991,14(2):251-259.
[8]CARNE T G,DOHMANN C R.A modal test de-sign strategy for modal correlation[C].Proceedingsof the 13th International Modal Analysis Conference.New York:Union College,Schenectady,1995:927-933.
[9]秦仙蓉,张令弥.一种基于QR分解的逐步累积法传感器配置[J].振动、测试与诊断,2001,21(3):168-173.(QIN Xian-rong,ZHANG Ling-mi.Successivesensor placement for modal paring based on QR-fac-torization[J].Journal of Vibration,Measurement&Diagnosis,2001,21(3):168-173.(in Chinese))
[10]LI H N,YI T H,YI X D,et al.Measurement andanalysis of wind-induced response of tall buildingbased on GPS technology[J].Advances in StructuralEngineering,2007,10(1):83-93.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心