基于天津波下的干摩擦板调谐质量减震系统性能研究
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摘要
从理论上分析了干摩擦板调谐质量系统减震性能,根据拉格朗日方程导出在结构顶端设置减震系统的动力反应计算公式.分析与计算结果表明:设置质量调谐系统之后,楼层位移、层间位移和楼层加速度均有所减小.对文中算例,当接触面滑动摩擦系数为0.03、弹簧系数为20000kN/m、阻尼系数为3000 kN/m·s、调谐质量为楼层质量的1.0倍时,干摩擦板调谐质量系统具有较好的减震效果.
A theoretical analyzing approach about vibration mitigation system and dry friction plate-spring system was introduced. Based on Lagrange equation, the formula for calculating the dynamic reaction of the shock absorber system at the top of the structure is presented. Computation results show that the maximum storey drift, the maximum interstorey drift and the maximum storey acceleration are significantly reduced with the tuned mass damper system. The system will exhibit optimum efficiency for vibration mitigation, energy dissipation and restoration with the slip friction factor being 0.03, the spring coefficient 20000 kN/m, the damping coefficient 3000 kN/m·s and the tuned mass 1.0 times of the storey mass.
A theoretical analyzing approach about vibration mitigation system and dry friction plate-spring system was introduced. Based on Lagrange equation, the formula for calculating the dynamic reaction of the shock absorber system at the top of the structure is presented. Computation results show that the maximum storey drift, the maximum interstorey drift and the maximum storey acceleration are significantly reduced with the tuned mass damper system. The system will exhibit optimum efficiency for vibration mitigation, energy dissipation and restoration with the slip friction factor being 0.03, the spring coefficient 20000 kN/m, the damping coefficient 3000 kN/m·s and the tuned mass 1.0 times of the storey mass.
引文
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[9] 何浩祥,葛腾飞,闫维明.双向水平及扭转调谐质量阻尼器及其减震控制研究[J].振动与冲击,2012,31(18): 145-147.HE Hao-xiang, GE Teng-fei, YAN Wei-ming. Vibration reduction control of a structure with a two-directional horizontal and torsional tuned mass damper[J]. Journal of Vibration and Shock, 2012,31(18): 145-147.
[2] SATISH NAGA R, ERTAN S. Structures with seismictive variable stiffness multiple tuned mass dampers[J]. Journal of Structural Engineering, ASCE, 2007,133(1): 67-77.
[3] 叶献国,蒋庆,卢文胜,等.钢筋混凝土巨型框架结构及附单向TMD装置的减震结构振动台试验研究[J]. 建筑结构学报,2014,35(2): 1-7.YE Xian-guo, JIANG Qing, LU Wen-sheng, et al. Shaking table model test analysis of a reinforced concrete mega-frame structure without and with TMD[J]. Journal of Building Structures, 2014,35(2): 1-7.
[4] 张文芳,孔鹏.结构顶部TMD系统采用隔震部件的减震研究[J].太原理工大学学报,2006,37(6): 629-633.ZHANG Wen-fang, KONG Peng. Study on the shock absorption of the TMD using isolation components[J]. Journal of Taiyuan University of Technology, 2006,37(6): 629-633.
[5] 梁殿君.非线性TMD应用于超高层建筑的减震研究[D].西安:西安理工大学,2006.LIANG Dian-jun. Research of Earthquake Resistance of Non-linear TMD in Super High-rise Structure[D].Xi’an: Xi’an University of Technology, 2006.
[6] 王增春,何艳丽,陈务军. iTMD减震结构的弹塑性静力和动力分析[J]. 建筑结构,2012,42(S2): 189-193.WANG Zeng-chun, HE Yan-li, CHEN Wu-jun. Pushover and elastic-plastic seismic analysis of structure with iTMD system[J]. Building Structure, 2012,42(S2): 189-193.
[7] 张瑞甫.TMD减震结构振动控制研究[D].西安:西安建筑科技大学,2008.ZHANG Rui-fu. Study on Virbration Control of TMD Structure[D]. Xi’an: Xi’an University of Architecture and Technology, 2008.
[8] 王宇,谢文东.顶层TMD减震系统在土木工程中的应用[J].山西建筑,2007,33(3): 80-81.WANG Yu, XIE Wen-dong. Application of top TMD system in civil engineering[J]. Shanxi Architecture, 2007,33(3): 80-81.
[9] 何浩祥,葛腾飞,闫维明.双向水平及扭转调谐质量阻尼器及其减震控制研究[J].振动与冲击,2012,31(18): 145-147.HE Hao-xiang, GE Teng-fei, YAN Wei-ming. Vibration reduction control of a structure with a two-directional horizontal and torsional tuned mass damper[J]. Journal of Vibration and Shock, 2012,31(18): 145-147.