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One identification method of distributed dynamic load based on modal coordinate transformation for thin plate structure. (English) Zbl 07446679

Summary: Load identification has long been a difficult issue for distributed load acting on structures. In this paper, the dynamic load identification technology based on the modal coordinate transformation theory is developed for dealing with identification problem of the two-dimensional thin plate structure. For the distributed dynamic load acting on a plate, we decompose it with the mode functions in the modal coordinate space and establish the liner relationship between the time function coefficients of the distributed load and the modal excitations which are solved out based on the known response data of the measuring points. Then the distributed dynamic load is rebuilt based on orthogonal decomposition and inverse Fourier Transform method. The simulation examples and elastic thin plate structure tests show that the proposed method has a good accuracy with the allowable error range and is reliable and practical. The proposed method can be also used for load identification of complicated structures in a wide range of engineering applications.

MSC:

74-XX Mechanics of deformable solids
93-XX Systems theory; control
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