某人行天桥P-TMD减振分析
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摘要
针对传统TMD质量大、对频率敏感等缺陷,研究了碰撞调谐质量阻尼器对人行天桥的减振问题,采用数值仿真对P-TMD进行参数分析,并与同质量比TMD的减振效果进行比较。结果表明:碰撞刚度对P-TMD减振效果影响较小,而质量块和黏弹性材料的间距、质量比是影响P-TMD减振效果的两个关键参数,要根据不同的质量比设置相应的间距。质量比从0.5%提高到2%,减振率提高40%。但质量比达到2.5%后,减振率增长缓慢,再扩大质量比没有意义且不经济。当荷载强度较低,碰撞不完全,P-TMD减振效果减弱;当荷载强度增加,结构响应增大,碰撞加剧,一定程度提高P-TMD的耗能能力。但太过激烈的碰撞,有时反而引起副效应,降低P-TMD减振能力。对比P-TMD与TMD,无论位移还是加速度,P-TMD的减振效果都优于同质量比的TMD。
The traditional Tuned Mass Damper(TMD) has large mass and is sensitive to the variation of frequencies. To address the shortages of traditional TMD in this study, we focus on the vibration reduce effect of pounding tuned mass damper(P-TMD) on the pedestrian bridge structures. We proposed a method for parametric study by numerical simulation, comparing the control effectiveness of P-TMD and TMD with the same mass ratio. The results show that the pounding stiffness has little effect on vibration control capability of P-TMD, but the gap between the delimiter and the mass block and mass ratio are two key factors affecting the vibration attenuation of the P-TMD, and the gap should be set according to different mass ratios. The mass ratio increased from 0.5% to 2%, the damping rate increased by 40%. However, after the mass ratio reaches 2.5%, the damping rate increases slowly, so the expansion of the mass ratio is meaningless and uneconomical. The collision is incomplete under low load, the vibration reduce effect of the P-TMD decreases. As the load intensifies, the structural response increases the impact of the collision, which improves the energy consumption of the P-TMD within a certain range. However, too intense collisions sometimes bring side effects and weaken the P-TMD damping capacity. Compare to P-TMD and TMD, the control effectiveness of P-TMD is superior to TMD of the same mass ratioregardless of displacement or acceleration.
The traditional Tuned Mass Damper(TMD) has large mass and is sensitive to the variation of frequencies. To address the shortages of traditional TMD in this study, we focus on the vibration reduce effect of pounding tuned mass damper(P-TMD) on the pedestrian bridge structures. We proposed a method for parametric study by numerical simulation, comparing the control effectiveness of P-TMD and TMD with the same mass ratio. The results show that the pounding stiffness has little effect on vibration control capability of P-TMD, but the gap between the delimiter and the mass block and mass ratio are two key factors affecting the vibration attenuation of the P-TMD, and the gap should be set according to different mass ratios. The mass ratio increased from 0.5% to 2%, the damping rate increased by 40%. However, after the mass ratio reaches 2.5%, the damping rate increases slowly, so the expansion of the mass ratio is meaningless and uneconomical. The collision is incomplete under low load, the vibration reduce effect of the P-TMD decreases. As the load intensifies, the structural response increases the impact of the collision, which improves the energy consumption of the P-TMD within a certain range. However, too intense collisions sometimes bring side effects and weaken the P-TMD damping capacity. Compare to P-TMD and TMD, the control effectiveness of P-TMD is superior to TMD of the same mass ratioregardless of displacement or acceleration.
引文
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[8] 薛启超,张井财,何建,等.地震作用下PTMD对高层钢结构的减振效果[J].哈尔滨工程大学学报,2017,38(3):412-418.
[9] 李英娜,张井财,薛启超,等.地震作用下PTMD对JZ20-2MUQ型导管架式海洋平台的减振研究[J].振动与冲击,2017,36(18):238-244,251.
[10] 张日,何禹忠,王修勇.粘弹性材料与钢的碰撞力学模型分析[J].湖南工程学院学报(自然科学版),2017,27(4):81-85,94.
[11] 李晓玮,施卫星.人行天桥MTMD减振控制的鲁棒性研究[J].结构工程师,2012,28(4):7-12.
[12] 任晓崧,钟源,郭雪峰,等.人致激励下钢楼梯加速度设计反应谱研究[J].振动与冲击,2018,37(20):185-192.
[13] 肖学双,张涛,伍定一.人行激励下钢结构人行桥减振研究[J].公路与汽运,2009(4):169-172.
[14] 伍定一.TMD对钢结构人行天桥的振动控制研究[D].湖南:长沙理工大学,2007:32-46.
[15] 袁爱民,吴闻秀,徐敏,等.基于烦恼率的人行桥振动舒适度评价研究[J].水利与建筑工程学报,2013,11(4):135-140.
[2] 吴曼林,谭平,叶茂.建筑工程中结构振动控制研究应用综述[J].水利与建筑工程学报,2009,7(4):19-26.
[3] Weber B,Feltrin G.Assessment of long-term behavior of tuned mass dampers by system identification[J].Engineering Structures,2010,32(11):3670-3682.
[4] Zhang P,Song G B,Li H N,et al.Seismic control of power transmission tower using Pounding TMD[J].Engineering Mechanics,2013,139(10):1395-1406.
[5] Li T,Xia G.Wind-induced vibration control of power transmission tower using pounding tuned mass damper[J].Vibroengineering,2015,17(7):3693-3701.
[6] Song G B,Zhang P,Li L Y,et al.Vibration control of a pipeline structure using pounding tuned mass damper[J].Engineering Mechanics,2016,142(6):04016031.
[7] Zhang P,Li L,Patil D,et al.Parametric study of pounding tuned mass damper for subsea jumpers[J].Smart Materials and Structures,2015,25(1):015028.
[8] 薛启超,张井财,何建,等.地震作用下PTMD对高层钢结构的减振效果[J].哈尔滨工程大学学报,2017,38(3):412-418.
[9] 李英娜,张井财,薛启超,等.地震作用下PTMD对JZ20-2MUQ型导管架式海洋平台的减振研究[J].振动与冲击,2017,36(18):238-244,251.
[10] 张日,何禹忠,王修勇.粘弹性材料与钢的碰撞力学模型分析[J].湖南工程学院学报(自然科学版),2017,27(4):81-85,94.
[11] 李晓玮,施卫星.人行天桥MTMD减振控制的鲁棒性研究[J].结构工程师,2012,28(4):7-12.
[12] 任晓崧,钟源,郭雪峰,等.人致激励下钢楼梯加速度设计反应谱研究[J].振动与冲击,2018,37(20):185-192.
[13] 肖学双,张涛,伍定一.人行激励下钢结构人行桥减振研究[J].公路与汽运,2009(4):169-172.
[14] 伍定一.TMD对钢结构人行天桥的振动控制研究[D].湖南:长沙理工大学,2007:32-46.
[15] 袁爱民,吴闻秀,徐敏,等.基于烦恼率的人行桥振动舒适度评价研究[J].水利与建筑工程学报,2013,11(4):135-140.