Sensitivity analysis of frequency response functions based on multicomplex domain

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (18) : 156-163.

TIAN Yu1,CAO Zhifu2,JIANG Dong1,2

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Abstract

Sensitivity analysis of frequency response functions (FRFs) is widely used in structural model updating, damage identification and vibration control.Based on the traditional original complex domain for structural frequency response analysis, a multi-complex domain-based sensitivity analysis method of FRFs was proposed.Firstly, a second complex domain for design parameter perturbation was constructed.Then, the equations of motion and sensitivity analysis in the multicomplex domain were extended and expressed by real-matrix formulas, the FRFs and corresponding sensitivities were calculated simultaneously.Finally, a multi-freedom spring-mass system and a GARTEUR truss were taken as examples to verify the accuracy of the proposed method.The results show that the proposed multi-complex domain sensitivity analysis method is more accurate than the classical finite difference method.The proposed method is insensitive to the perturbation size of the design parameter.The method provides more accurate results for the FRFs sensitivity analysis of complex structures.

Key words

multicomplex domain / frequency response function(FRF) / sensitivity analysis / matrix expansion;complex-variable-differentiation method

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TIAN Yu,CAO Zhifu,JIANG Dong. Sensitivity analysis of frequency response functions based on multicomplex domain[J]. Journal of Vibration and Shock, 2021, 40(18): 156-163

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