Optimal Sensor Placement for Structural Damage Identificaiton with Modal Measurements

Abstract eng:
A methodology of optimum sensor placement for structural health monitoring, which simultaneously meets the requirements of the damage identifyability and the modal differentiability, is presented in the paper. The modal differentiability and damage identifiability are two crucial issues for structural health monitoring. However, the optimum sensor locations based on the modal differentiability contradicts the results based on the damage identifiability in the previous research. Firstly, the output of the damaged structure is expressed in time domain as a function of mode shapes, eigenvector sensitivity and modal coordinates, which relates the modal differentiability with the damage identifiability. Secondly, the formulation for the FIM is presented, and the optimal criterion is proposed to maximize the 2-norm of the FIM and to minimize the condition number of the output matrix. Thirdly, an iterative algorithm is developed to get the optimal sensor placement for the number of available sensors. Finally, numerical examples are carried out to demonstrate the feasibility and effectiveness of the proposed approach. The results show that the damage can be accurately identified by the information of the sensors placed by the proposed approach. The novel method effectively overcomes the contradiction between the modal differentiability and the damage identifiability.

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