Statistical Damage Detection of Structures Based on Model Reduction
-
摘要: 提出了一种基于有限元模型缩聚技术的结构损伤统计识别方法,该方法仅需要少量传感器的测量数据.首先基于模型缩聚技术建立确定性的损伤识别过程,然后利用摄动法将概率过程融入确定性的损伤识别中,从而得到了一种基于概率统计的结构损伤识别方法.该方法通过计算未知参数(如损伤构件的弹性特征)对于测量噪声的一阶与二阶偏导数,来得到这些未知参数的均值与协方差矩阵.文中不仅阐述了该方法的理论推导过程,而且通过一个门式框架的数值仿真研究,并结合Monte Carlo数值模拟技术验证了该文方法的正确性.
-
关键词:
- 损伤识别 /
- 模型缩聚 /
- 摄动法 /
- Monte Carlo数值模拟
Abstract: A statistical damage detection method based on the finite element(FE)model reduction technique that utilizes measured modal data with a limited number of sensors is proposed.A deterministic damage detection process was formulated based on the model reduction technique,and then the probabilistic process was integrated into the deterministic damage detection process using the perturbation technique,which results in a statistical structural damage detection method.This is achieved by deriving the first- and second-order partial derivatives of uncertain parameters,such as the elasticity of the damaged member,with respect to the measurement noise,which then allows the expectation and the covariance matrix of the uncertain parameters to be calculated.The theoretical development of the proposed method is reported.Its numerical verification is proved by using a portal frame example and Monte Carlo simulation.-
Key words:
- damage detection /
- model reduction /
- perturbation technique /
- Monte Carlo simulation
-
[1] Carden E P, Fanning F. Vibration based condition monitoring: a review[J].Structural Health Monitoring,2004,3(4):355-377. doi: 10.1177/1475921704047500 [2] 朱安文,曲广吉,高耀南. 航天器结构动力模型修正中的缩聚方法[J]. 中国空间科学技术,2003,23(2):6-10. [3] 尹涛,朱宏平,余岭.基于敏感性的结构损伤识别中的噪声分析[J]. 应用数学和力学, 2007, 28(6):659-667. [4] Guyan R J. Reduction of stiffness and mass matrices[J].AIAA Journal, 1965,3(2):380. doi: 10.2514/3.2874 [5] O’Callahan J.A procedure for an improved reduced system (IRS) model[A]. In:Demichele D J,Ed.Proceedings of 7th International Modal Analysis Conference[C].Las Vegas,Nevada.Schenectady,NY:Union College,1989,17-21. [6] Kidder R L. Reduction of structural frequency equations[J].AIAA Journal,1973,11(6): 892-892. doi: 10.2514/3.6852 [7] Friswell M I, Garvey S D, Penny J E T. Model reduction using dynamic and iterated IRS techniques[J].Journal of Sound and Vibration,1995,186(2):311-323. doi: 10.1006/jsvi.1995.0451 [8] 张德文,魏阜旋. 模型修正与破损诊断[M].北京:科学出版社,1999. [9] Lam H F, Ng C T, Veidt M. Experimental characterization of multiple cracks in a cantilever beam utilizing transient vibration data following a probabilistic approach[J]. Journal of Sound and Vibration,2007,305(1/2):34-49. doi: 10.1016/j.jsv.2007.03.028 [10] Papadopoulos L, Garcia E. Structural damage identification: a probabilistic approach[J].AIAA Journal,1998,36(11):2137-2145. doi: 10.2514/2.318 [11] Xia Y, Hao H. Statistical damage identification of structures with frequency changes[J].Journal of Sound and Vibration,2003,263(4):853-870. doi: 10.1016/S0022-460X(02)01077-5 [12] MATLAB, Version 6.5 (Release 13)[EB]. Matlab Optimization Toolbox User’s Guide. [13] Hao H, Xia Y. Vibration-based damage detection of structures by genetic algorithm[J]. Journal of Computing in Civil Engineering,2002,16(3):222-229. doi: 10.1061/(ASCE)0887-3801(2002)16:3(222)
点击查看大图
计量
- 文章访问数: 3166
- HTML全文浏览量: 157
- PDF下载量: 678
- 被引次数: 0