Theoretical analysis and parameter study on the seismicresponses of a SFT&nbsp;with flexible constraints at two ends

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (14) : 177-186.

EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE

Theoretical analysis and parameter study on the seismicresponses of a SFT with flexible constraints at two ends

CHEN Xing1,3,ZHENG Yin2,CHEN Shuifu1,3,XIANG Yiqiang1,HONG Hongtao2,SHEN Yonggang*1,3

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Abstract

The two ends of submerged floating tunnel (SFT) are the main excitation points for earthquakes. To study the dynamic response of SFT under seismic loads, a tunnel-cable coupled vibration model with flexible constraints at both ends was established. A vibration mode function of the tunnel that conforms to flexible constraint conditions was constructed. The Galerkin method was used to obtain the system of coupled vibration ordinary differential equations in generalized coordinates, and a program was written in MATLAB to solve the equation. The correctness of the theoretical method was verified by comparing with the finite element results. Based on the example of a submerged floating tunnel to be constructed, the influence of boundary constraint parameters on structural response was explored. The results show that there is a significant deviation between the seismic response results of flexible constraints and those treated as simple hinged or fixed connections. The response of the tunnel decreases as the stiffness of rotating spring at both ends decreases. Reducing the stiffness of linear spring can decrease the acceleration and bending moment response of the tunnel, but it will lead to an increase in displacement at tunnel ends. The excitation of the tunnel ends under earthquake has a significant impact on the response of the tunnel, accounting for over 75% and 85% of the vertical acceleration and bending moment responses.

Key words

submerged floating tunnel (SFT) / flexible boundary / seismic action / mode superposition method / dynamic response

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CHEN Xing1, 3, ZHENG Yin2, CHEN Shuifu1, 3, XIANG Yiqiang1, HONG Hongtao2, SHEN Yonggang1, 3. Theoretical analysis and parameter study on the seismicresponses of a SFT with flexible constraints at two ends[J]. Journal of Vibration and Shock, 2025, 44(14): 177-186

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