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

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  • 1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
    2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China;
    3. Foshan Graduate School of Innovation, Northeastern University, Foshan 528312, Guangdong Province, China;
    4. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110819, China

Received date: 2023-01-27

  Revised date: 2023-03-13

  Online published: 2023-05-29

Supported by

the National Natural Science Foundation of China (Nos. 12272089 and U1908217), the Fundamental Research Funds for the Central Universities of China (Nos. N2224001-4 and N2003013), and the Basic and Applied Basic Research Foundation of Guangdong Province of China (No. 2020B1515120015)

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.

Cite this article

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[J]. Applied Mathematics and Mechanics, 2023 , 44(6) : 917 -930 . DOI: 10.1007/s10483-023-3000-8

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