Identification of dynamic force based on wavelet shape functions

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (8) : 9-13.

HE Wenyu,WANG Yang,REN Weixin

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Abstract

Shape function and deconvolution based dynamic force identification methods can reduce the number of unknowns and enhance the identification efficiency significantly.To balance the contradiction between identification accuracy and efficiency, this paper proposed a dynamic force identification method based on multi-scale wavelet shape functions and time-domain deconvolution.The dynamic force was discretized into time units and the corresponding local force was approximated by wavelet scale functions.Subsequently the wavelet shape function based force-response equation was established through assembling the responses induced by the shape function forces of all time units for force identification.Finally the scale of force-response equation was lifted by adding high-scale wavelets to improve the identification accuracy gradually.Numerical examples of a cantilever bean and a single-story frame were conducted to verify the feasibility of the proposed method.

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wavelet shape function / dynamic force / multi-scale

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HE Wenyu,WANG Yang,REN Weixin. Identification of dynamic force based on wavelet shape functions[J]. Journal of Vibration and Shock, 2019, 38(8): 9-13

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