基于功率法的TMD系统参数优化与减振性能分析  

Parametric optimization and aseismic performance of a TMD system based on power method

作　　者：李祥秀[1] 谭平[2] 刘良坤[2] 张颖[2] 闫维明[1] 周福霖[1,2] 

机构地区：[1]北京工业大学建筑工程学院,北京100124 [2]广州大学工程抗震研究中心,广州510405

出　　处：《振动与冲击》2014年第17期6-11,17,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51208129);国家重点基础研究发展计划(973计划)(2012CB723304);国家教育部博士点基金(20104410110002);新世纪优秀人才计划(NCET-11-0914);广州市羊城学者科技计划项目(10A032D)

摘　　要：建立了结构-TMD体系的功率平衡方程,从功率的角度分析了TMD系统在地震激励下减振效果,并考虑结构周期与阻尼比的影响。经HHT变换得到地震激励的时频图,解释了有控体系较无控结构在某些时刻各功率放大的原因。推导了结构基底受简谐荷载作用时,主结构的耗能功率公式,以主结构的耗能功率最小为优化目标得到TMD最优频率比及阻尼比,并与以往的四种优化方法进行了对比。结果表明,基于耗能功率最小的优化方法在随机激励下的位移方差及确定地震波作用下的能量及功率响应的大小均介于上述四种优化方法之间,且较无控结构均有大幅度的减小,因此该优化方法具有一定的适应性与可靠性。The power balance equation of a structure-TMD system was established. Considering the effects of natural period and damping ratio of the structure, the aseismic effect of the TMD system was investigated with the time history analysis method from the view point of power. The time-frequency diagram of seismic excitation was obtained using HHT transformation, and the reason for the power amplification of a controlled structure compared to an uncontrolled case at some instants was explained. The dissipation power formula of the main structure was derived under harmonic loadings acting on the base of a structure, and the optimal damping ratio and optimal frequency ratio were obtained based on minimization of the dissipation power of the main structure. A comparative analysis was performed with the proposed method and the previous 4 optimization methods. Results indicated that the displacement variance under the random excitation and the energy and power responses under certain ground motions obtained with the proposed method are among those with the four optimization methods, and significantly drop compared with those in the uncontrolled case, so the adaptability and reliability of this optimization method are proved.

关 键 词：调谐质量阻尼器 功率方程 HHT 减振效果 参数优化 

分 类 号：TU352.1[建筑科学—结构工程]