YIN Tao, LAM Heung-fai, ZHU Hong-ping. Statistical Damage Detection of Structures Based on Model Reduction[J]. Applied Mathematics and Mechanics, 2009, 30(7): 821-832. doi: 10.3879/j.issn.1000-0887.2009.07.007
Citation: YIN Tao, LAM Heung-fai, ZHU Hong-ping. Statistical Damage Detection of Structures Based on Model Reduction[J]. Applied Mathematics and Mechanics, 2009, 30(7): 821-832. doi: 10.3879/j.issn.1000-0887.2009.07.007

Statistical Damage Detection of Structures Based on Model Reduction

doi: 10.3879/j.issn.1000-0887.2009.07.007
  • Received Date: 2008-03-24
  • Rev Recd Date: 2009-05-16
  • Publish Date: 2009-07-15
  • 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.
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