基于频响函数扩展修正的Benchmark结构损伤识别
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摘要
提出了一种基于频响函数扩展的模型修正方法,利用该方法对IASC-ASCE SHM Benchmark结构进行了损伤识别.结果表明,该方法能够有效消除模态分析误差,保证修正过程中矩阵物理意义明确,降低测量噪声对修正的影响.在模型误差、测量噪声以及质量刚度分布不确定等因素的影响下,该方法共有较高的损伤识别精度.
A kind of modified model method based on FRF is presented in this paper. By the method, the damage identification for the structure of IASC-ASCE SHM Benchmark is conducted. The result reveals that the error of model analysis and the influence of measurement noise on the modification can be reduced significantly, and the physical meaning of matrix can be ensured to be clear and definite during modifying. Under the effect of model error, measurement noise and the uncertainty of mass and stiffness, the method displays good accuracy of identification.
A kind of modified model method based on FRF is presented in this paper. By the method, the damage identification for the structure of IASC-ASCE SHM Benchmark is conducted. The result reveals that the error of model analysis and the influence of measurement noise on the modification can be reduced significantly, and the physical meaning of matrix can be ensured to be clear and definite during modifying. Under the effect of model error, measurement noise and the uncertainty of mass and stiffness, the method displays good accuracy of identification.
引文
1于阿涛,赵鸣,基于振动的土木工程结构健康监测研究进展,福州大学学报,2005,33(增刊):233~239(Yu A T,Zhao M,Advance of research on vibration-based struc-tural health monitoring in civil engineering.Journal of Fuzhou University,2005,33(Supplement):233~239(in Chinese))
2Ka-Veng Yuen,Siu Kui Au,and James L.Beck.Two-stage structure health monitoring approach for phase I benchmark studies.Journal of Engineering Mechanics,2004,130(l),16~33
3H F Lam,L S Katafygiotis,and N C Mickleborough.Ap-plication of a statistical model updating approach on phase I of the IASC-ASCE structural health monitoring benchmark study.Journal ofEngineering Mechanics,2004,130(l),34~48
4Juan Martin Caicedo,Shirly J.Dyke,Erik A.Johnson.Natural excitation technique and eigensystem realization al-gorithm for phase I of the IASC-ASCE benchmark problem:simulated data.Journal ofEngineering Mechanics,2004,130(l),49~60
5李学平,余志武.基于动力特性的结构损伤识别方法.动力学与控制学报,2006,4(1):84~87(Li X P,Yu Z W.Structural damage identification method based on dynamic properties.Journal of Dynamics and Control,2006,4(1):84~87(in Chinese))
6裴强.结构健康诊断新方法[博士论文].中国地震局工程力学研究所,2005(Pei Q.A new method and its ap-plication on structural health monitoring[Dissertation of Doctor degree].Institute ofEngineering Mechanics,China Seismological Bureau,2005(in Chinese))
7张立涛,李兆霞,费庆国等.结构损伤识别中的若干正则化问题研究.工程力学,2008,25(5):45~52(Zhang T,Li Z X,Fei Q G and so on,Studies on some of regulariza-tion problems in structural damage identification.Engineer-ing Mechanics,2008,25(5):45~52(in Chinese))
8徐龙河,钱稼茹,纪晓东.基于特征灵敏度的Benchmark结构损伤诊断.天津大学学报,2005,28(10):931~935(Xu L H,Qian J R,Ji X D,Damage diagnosis of a benchmark structure based on the eigen-sensitivity analy-sis.Journal ofTianjin University,2005,28(10):931~935(in Chinese))
9杜思义.基于频率变化与单元矩阵摄动理论的结构损伤识别方法研究[博士论文].重庆:重庆大学,2005(Du S Y.Based on the frequency change and cell matrix perturba-tion theory of structural damage identification method[Dis-sertation of Doctor degree].Chongqing:Chongqing Univer-sity,2005(in Chinese))
10曾庆华.结构动力修改技术若干问题研究[博士论文].南京:南京航空航天大学,1989(Zeng Q H.Study on damage identification method based on the frequency change and element matrix perturbation theory[Dissertation of Doctor degree].Nanjing:Nanjing University of Aeronau-tics and Astronautics,1989(in Chinese))
11Johnson E A,Lam H F,Katafygiotis L S et al.Phase I IASC-ASCE structural monitoring problem using simulated data.Journal ofEngineering Mechanics,ASCE,2004,130(1):3~15
2Ka-Veng Yuen,Siu Kui Au,and James L.Beck.Two-stage structure health monitoring approach for phase I benchmark studies.Journal of Engineering Mechanics,2004,130(l),16~33
3H F Lam,L S Katafygiotis,and N C Mickleborough.Ap-plication of a statistical model updating approach on phase I of the IASC-ASCE structural health monitoring benchmark study.Journal ofEngineering Mechanics,2004,130(l),34~48
4Juan Martin Caicedo,Shirly J.Dyke,Erik A.Johnson.Natural excitation technique and eigensystem realization al-gorithm for phase I of the IASC-ASCE benchmark problem:simulated data.Journal ofEngineering Mechanics,2004,130(l),49~60
5李学平,余志武.基于动力特性的结构损伤识别方法.动力学与控制学报,2006,4(1):84~87(Li X P,Yu Z W.Structural damage identification method based on dynamic properties.Journal of Dynamics and Control,2006,4(1):84~87(in Chinese))
6裴强.结构健康诊断新方法[博士论文].中国地震局工程力学研究所,2005(Pei Q.A new method and its ap-plication on structural health monitoring[Dissertation of Doctor degree].Institute ofEngineering Mechanics,China Seismological Bureau,2005(in Chinese))
7张立涛,李兆霞,费庆国等.结构损伤识别中的若干正则化问题研究.工程力学,2008,25(5):45~52(Zhang T,Li Z X,Fei Q G and so on,Studies on some of regulariza-tion problems in structural damage identification.Engineer-ing Mechanics,2008,25(5):45~52(in Chinese))
8徐龙河,钱稼茹,纪晓东.基于特征灵敏度的Benchmark结构损伤诊断.天津大学学报,2005,28(10):931~935(Xu L H,Qian J R,Ji X D,Damage diagnosis of a benchmark structure based on the eigen-sensitivity analy-sis.Journal ofTianjin University,2005,28(10):931~935(in Chinese))
9杜思义.基于频率变化与单元矩阵摄动理论的结构损伤识别方法研究[博士论文].重庆:重庆大学,2005(Du S Y.Based on the frequency change and cell matrix perturba-tion theory of structural damage identification method[Dis-sertation of Doctor degree].Chongqing:Chongqing Univer-sity,2005(in Chinese))
10曾庆华.结构动力修改技术若干问题研究[博士论文].南京:南京航空航天大学,1989(Zeng Q H.Study on damage identification method based on the frequency change and element matrix perturbation theory[Dissertation of Doctor degree].Nanjing:Nanjing University of Aeronau-tics and Astronautics,1989(in Chinese))
11Johnson E A,Lam H F,Katafygiotis L S et al.Phase I IASC-ASCE structural monitoring problem using simulated data.Journal ofEngineering Mechanics,ASCE,2004,130(1):3~15
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