Theoretical study on the dynamic response of rectangular liquid storage structure under explosion-induced ground shock

ZHANG Haotian; SONG Chunming; WANG Mingyang; ZHAO Xuechuan; WU Hongxiao; ZHENG Jijing

doi:10.11883/bzycj-2023-0099

Volume 43 Issue 8

Aug. 2023

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ZHANG Haotian, SONG Chunming, WANG Mingyang, ZHAO Xuechuan, WU Hongxiao, ZHENG Jijing. Theoretical study on the dynamic response of rectangular liquid storage structure under explosion-induced ground shock[J]. Explosion And Shock Waves, 2023, 43(8): 085102. doi: 10.11883/bzycj-2023-0099

Citation:

ZHANG Haotian, SONG Chunming, WANG Mingyang, ZHAO Xuechuan, WU Hongxiao, ZHENG Jijing. Theoretical study on the dynamic response of rectangular liquid storage structure under explosion-induced ground shock[J]. Explosion And Shock Waves, 2023, 43(8): 085102. doi: 10.11883/bzycj-2023-0099

Citation:

ZHANG Haotian, SONG Chunming, WANG Mingyang, ZHAO Xuechuan, WU Hongxiao, ZHENG Jijing. Theoretical study on the dynamic response of rectangular liquid storage structure under explosion-induced ground shock[J]. Explosion And Shock Waves, 2023, 43(8): 085102. doi: 10.11883/bzycj-2023-0099

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Theoretical study on the dynamic response of rectangular liquid storage structure under explosion-induced ground shock

doi: 10.11883/bzycj-2023-0099

1.
Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing 210007, iangsu, China
2.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
3.
Unit 96911 of PLA, Beijing 100010, China

Received Date: 2023-03-17
Rev Recd Date: 2023-05-10

Available Online: 2023-07-04

Publish Date: 2023-08-31

Abstract

Abstract

To improve the design and evaluation system of liquid storage structure (LSS) in protection engineering, theoretical research on the dynamic response of LSS subjected to explosion-induced ground shock has been carried out. The rectangular LSS was simplified into a generalised single-degree-of-freedom system with distributed elasticity. The motion equation under horizontal ground shock was established based on the virtual work principle. The vibration mode function, vibration frequency, and dynamic response of the rectangular plate were obtained using the two-way beam function combination, the Rayleigh method, and the Duhamel’s integration method, respectively. The influences of liquid filling ratio, and ground-shock essentials (i.e. the peak, duration, waveform of ground acceleration) on the dynamic response of the model LSS were analysed by calculation examples. The maximum deflection was used as an index to build the dynamic response spectrum of the LSS subjected to explosion-induced ground shocks. The results showed that, with the increase of liquid filling ratio, the fundamental frequency of the structure decreases, and the characteristic factor of ground motion excitation first increase and then decrease. The latter reflects that the strengthening effect of fluid-structure interaction on seismic action is first enhanced and then weakened. Within the elastic range, as the peak value of ground acceleration increases, the deflection response of the LSS increases linearly. The varations in the duration and waveform of ground acceleration affect the spectrum characteristics, causing the nonlinear changes of deflection response. The effects of explosion-induced ground shocks featured by various typical waveforms can be divided into the mitigation, enhancement, and equality regions relative to the equivalent static action. It is conservative to take the peak of response spectrum as the most adverse response for protection design, whereas the calculation considering the range of site explosion parameters would improve the economy of engineering design. The proposed simplified theoretical method meets the requirement of preliminary rapid calculation and provides a reference for the protection design of LSS.

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References(29)

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