Experimental and simulation studies on similitude design method for shock responses of beam-plate coupled structure

doi:10.1007/s10483-023-3000-8

Abstract

Abstract: The similitude theory helps to understand the physical behaviors of large structures through scaled models. Several papers have studied the similitude of shock issues. However, the dynamic similitude for shock responses of coupled structures is rarely incorporated in open studies. In this paper, scaling laws are derived for the shock responses and spectra of coupled structures. In the presented scaling laws, the geometric distortion and energy loss are considered. The ability of the proposed scaling laws is demonstrated in the simulation and experimental cases. In both cases, the similitude prediction for the prototype's time-domain waveform and spectrum is conducted with the scaled model and scaling laws. The simulation and experimental cases indicate that the predicted shock responses and spectra agree well with those of the prototype, which verifies the proposed scaling laws for predicting shock responses.

Key words: partial similitude, scaling law, shock response, coupled structure, virtual mode synthesis simulation (VMSS), statistical energy analysis (SEA)

2010 MSC Number:

74H45

Lei LI, Zhong LUO, Fengxia HE, Jilai ZHOU, Hui MA, Hui LI. Experimental and simulation studies on similitude design method for shock responses of beam-plate coupled structure. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 917-930.

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References

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