Dynamic load fast localization and reconstruction based on the Wilson-&theta; explicit algorithm

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (14) : 115-123.

Dynamic load fast localization and reconstruction based on the Wilson-θ explicit algorithm

ZHANG Jing1，YUAN Bo1，ZHANG Fang2

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Abstract

By transforming the Wilson-θ numerical algorithm into an equivalent explicit expression, a dynamic load identification method based on the Wilson-θ explicit algorithm is established. The algorithm is unconditionally stable when the appropriate parameter θ is selected, and avoids the problem that the identified results diverge seriously due to the error accumulation caused by recursive calculation in previous implicit identification algorithms. By introducing response coefficient matrix, the explicit algorithm can flexibly select response types for load identification calculation. At the same time, combined with the variable separation method, the load location information is extracted from the established model matrix, so as to reduce the times of matrix inversion and improve the efficiency of load localization. The load identification method is verified by simulation examples and experimental tests of a simply supported beam. The results show that the dynamic load fast localization and reconstruction method based on Wilson-θ explicit algorithm can effectively identify the load position and the corresponding time history. Compared with the traditional load identification method, this method has higher accuracy and faster operation efficiency.

Key words

load localization / load reconstruction / variable separation method / modal truncation method / wilson-&theta / algorithm

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ZHANG Jing1，YUAN Bo1，ZHANG Fang2. Dynamic load fast localization and reconstruction based on the Wilson-θ explicit algorithm[J]. Journal of Vibration and Shock, 2023, 42(14): 115-123

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