基于功率法的TMD系统参数优化与减振性能分析

李祥秀;谭平;刘良坤;张颖;闫维明;周福霖;

振动与冲击 ›› 2014, Vol. 33 ›› Issue (17) : 6-11.

PDF(3216 KB)
PDF(3216 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (17) : 6-11.
论文

基于功率法的TMD系统参数优化与减振性能分析

  • 李祥秀1,谭平2,刘良坤2,张颖2,闫维明1,周福霖1,2
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Parameter optimization and seismic performance of TMD system based on power method

  • LI Xiangxiu1 , TAN Ping2 , LIU Liangkun2, ZHANG Ying2 , YAN Weiming1 , ZHOU Fulin1,2
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摘要

本文建立了结构-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,并考虑了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。

Abstract

The power response equation of Structure-TMD system is established. Considering natural period and damping ratio of main structure, the damping effect of the system is investigated by time history analysis method from the perspective of power. The time-frequency diagram of seismic excitation is obtained by HHT transform, and the reason for the power amplifier of controlled structure to uncontrolled case at some point is explained. The dissipation power formula is derived by harmonic loading acting on the substrate of the structure, and the optimal damping ratio and optimal frequency ratio are obtained based on the minimum dissipation power of the main structure. A comparative analysis has been carried out with the methods proposed previous. Results indicate that the size of the displacement variance under the random excitation and the energy and power responses under certain ground motion obtained by the proposed method are among the four optimization methods mentioned above, and significantly reduced compared with the uncontrolled case, which proves the adaptability and reliability of this optimization method.

关键词

调谐质量阻尼器 / 功率方程 / HHT / 减振效果 / 参数优化

Key words

tuned mass damper / power equation / HHT / damping effect / parameter optimization

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李祥秀;谭平;刘良坤;张颖;闫维明;周福霖;. 基于功率法的TMD系统参数优化与减振性能分析[J]. 振动与冲击, 2014, 33(17): 6-11
LI Xiangxiu;TAN Ping;LIU Liangkun;ZHANG Ying;YAN Weiming;ZHOU Fulin;. Parameter optimization and seismic performance of TMD system based on power method[J]. Journal of Vibration and Shock, 2014, 33(17): 6-11

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