设置粘弹性阻尼器耗能框架结构随机振动分析  

Random vibration analysis of energy dissipation frame structure with viscoelastic damper

作　　者：张敏[1,2] 付熊 陈钰雪 邵海浪 Zhang Min;Fu Xiong;Chen Yuxue;Shao Hailang(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,545006,Liuzhou,China;School of Civil Engineering,Jiangxi Science and Technology Normal University,330013,Nanchang,China)

机构地区：[1]广西科技大学土木建筑工程学院,柳州545006 [2]江西科技师范大学建筑工程学院,南昌330013

出　　处：《应用力学学报》2021年第5期2137-2146,共10页Chinese Journal of Applied Mechanics

基　　金：江西省教育厅科学技术重点研究项目(180599)。

摘　　要：在时域分析基础上,对设置粘弹性阻尼器耗能框架结构进行随机振动研究,由此对时域分析结论进行补充验证。首先,使用随机振动理论对设置粘弹性阻尼器框架结构的振动方程进行求解,得出楼层位移及层间位移均方差,在时域分析基础上,对各楼层经济设置粘弹性阻尼器框架结构的地震反应进行随机振动分析,然后,研究设置粘弹性阻尼器框架结构的等效阻尼比。最后,针对一榀设置粘弹性阻尼器的十层框架结构进行随机振动分析,研究了改进Kanai-Tajimi功率谱地震激励作用下结构的楼层位移、楼层层间位移和楼层层间位移角等响应,分析了各楼层经济布置阻尼器结构的随机响应,并对设置粘弹性阻尼器框架结构的等效阻尼比进行了分析,由此对时域所得结论的可靠性进行补充分析。结果表明:框架结构各楼层均匀设置粘弹性阻尼器能够显著降低随机地震激励作用的响应;时域分析得出的粘弹性阻尼器在各楼层经济布置时的阻尼系数计算公式能够满足减震与经济两方面要求;该结构等效阻尼比的计算方法可以实现阻尼等效的目标。Based on the time domain analysis,the random vibration of frame structures with viscoelastic dampers is studied,from which the conclusion of time domain analysis is verified.The vibration equation of a frame structure with a viscoelastic damper may be solved according to the theory of random vibration,from which the floor displacement and the mean square deviation of interlayer displacement are obtained.Based on the time domain analysis,random vibration analysis is performed on the seismic response of a frame structure equipped economically with viscoelastic dampers on each floor,and then the equivalent damping ratio of the frame structure with viscoelastic dampers is studied.In the end,a random vibration analysis is performed on a ten-story frame structure with viscoelastic dampers,and the responses of the story displacement,the interlayer displacement,and the interlayer displacement angle of the structure under improved Kanai-Tajimi power spectrum of seismic excitation are analyzed.The random response of the structure equipped economically with the dampers on each floor is analyzed,and the equivalent damping ratio of the frame structure with viscoelastic dampers is analyzed,from which the reliability of the conclusion in time domain is analyzed.The results show that viscoelastic dampers arranged uniformly on each floor of the frame structure can significantly reduce the response of random earthquake response;the calculation formula of the damping coefficient of the frame structure with viscoelastic dampers obtained from the time-domain analysis can meet the requirements of economic and energy dissipation;The calculation method of equivalent damping ratio of the structure can achieve the goal of damp equivalent.

关 键 词：随机 功率谱 等效阻尼 经济布置 粘弹性阻尼器 

分 类 号：TU311.3[建筑科学—结构工程]