Acta Mechanica Solida Sinica

, Volume 27, Issue 2, pp 172–180 | Cite as

Probabilistic Damage Identification of Structures with Uncertainty Based on Dynamic Responses

  • Xiaojun Wang
  • Chen Yang
  • Lei Wang
  • Zhiping Qiu


The probabilistic damage identification problem with uncertainty in the FE model parameters, external-excitations and measured acceleration responses is studied. The uncertainty in the system is concerned with normally distributed random variables with zero mean value and given covariance. Based on the theoretical model and the measured acceleration responses, the probabilistic structural models in undamaged and damaged states are obtained by two-stage model updating, and then the Probabilities of Damage Existence (PDE) of each element are calculated as the damage criterion. The influences of the location of sensors on the damage identification results are also discussed, where one of the optimal sensor placement techniques, the effective independence method, is used to choose the nodes for measurement. The damage identification results by different numbers of measured nodes and different damage criterions are compared in the numerical example.

Key Words

damage identification model updating uncertainty probabilistic approach dynamic response 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  • Xiaojun Wang
    • 1
  • Chen Yang
    • 2
  • Lei Wang
    • 1
  • Zhiping Qiu
    • 1
  1. 1.Institute of Solid MechanicsBeihang UniversityBeijingChina
  2. 2.QIAN-Xuesen Laboratory of Space TechnologyChina Accademy of Space TechnologyBeijingChina

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