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| TMD Vibration reduction analysis and optimal layout for submerged floating tunnel tube under moving load |
| YANG Ying1, JIN Licheng2, XIANG Yiqiang2, HE Yuliang1 |
| 1. College of Civil Engineering，Shaoxing University, Shaoxing 312000, China;
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China |
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Abstract In order to reduce the dynamic response of submerged floating tunnel (SFT) under moving load, tuned mass damper (TMD) was used as the vibration control measure, and the vibration reduction effect was analyzed. The SFT tube was simplified as a beam on elastic foundation, the vehicle load was simulated by a moving harmonic force, the added mass force and the hydraulic resistance which caused by the movement of the tube were considered according to the Morison equation, the vibration governing equations of the SFT tube-TMD system were established. The equations were solved by the Newmark-β method, and the vibration reduction effect of TMD on the SFT tube was analyzed. In view of the vibration characteristics of the SFT tube, a distributed TMD layout was proposed, and the influence of moving speed and TMD damping ratio was discussed. The results shows that TMD has a significant vibration reduction effect on the SFT tube under moving harmonic load, and the maximum displacement vibration reduction rate is more than 50%. Since multiple modes participate in vibration, the effective damping range of a single TMD is limited. Under the condition of keeping the total mass unchanged, the distributed TMD can achieve better overall vibration reduction effect. Increasing the mass ratio of TMD and decreasing the moving load speed are helpful to improve the vibration reduction effect of TMD. Increasing the damping ratio will weaken the effect of TMD, which should be determined by considering the damping effect and the requirements of the working space.
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Received: 28 November 2022
Published: 15 January 2024
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