为减小悬浮隧道管体在移动荷载作用下的动力响应，采用TMD作为振动控制措施并对减振效果进行了分析。将悬浮隧道管体简化为弹性地基梁，采用移动简谐力模拟汽车荷载，通过Morison方程计算管体振动过程中的流体附加惯性效应和阻尼效应，推导建立了移动荷载作用下管体-TMD系统振动控制方程组。采用Newmark-β法进行数值求解，分析了TMD对悬浮隧道管体的减振效果。针对悬浮隧道管体振动特征，提出采用分布式TMD的布置形式，并对移动速度、TMD阻尼比的影响进行了讨论。结论表明：TMD对移动简谐荷载作用下的悬浮隧道管体具有显著减振效果，最大位移减振率在50%以上。由于多阶模态参与振动，单一TMD的有效减振范围有限。在保持总质量不变的情况下，采用分布式TMD可以获得较好的整体减振效果。提高TMD质量比和降低移动荷载速度有助于提高TMD的减振效果。增大阻尼比会减弱TMD的效果，应综合考虑减振效果和工作空间的要求确定。
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.
关键词
悬浮隧道 /
移动荷载 /
调谐质量阻尼器(TMD) /
动力响应 /
减振
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Key words
Submerged floating tunnel /
Moving load /
Dynamic response /
Tuned mass damper (TMD) /
Vibration reduction.
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