Model updating using correlation analysis of strain frequency response function

• A model updating method is proposed by correlation analysis of SFRF.
• The regularization tool is used to solve the ill-posed problem in updating procedure.
• A selection strategy of response measurement locations is developed.
• A selection strategy of frequency points is developed to accelerate computation.
• The feasibility of the proposed method is verified by numerical study and experiment.

A method is proposed to modify the structural parameters of a dynamic finite element (FE) model by using the correlation analysis for strain frequency response function (SFRF). Sensitivity analysis of correlation coefficients is used to establish the linear algebraic equations for model updating. In order to improve the accuracy of updated model, the regularization technique is used to solve the ill-posed problem in model updating procedure. Finally, a numerical study and a model updating experiment are performed to verify the feasibility and robustness of the proposed method. The results show that the updated SFRFs and experimental SFRFs agree well, especially in resonance regions. Meanwhile, the proposed method has good robustness to noise ability and remains good feasibility even the number of measurement locations reduced significantly.