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1.宁夏大学土木与水利工程学院,宁夏 银川 750021
2.广州大学工程抗震研究中心,广东 广州 510405
Received:01 March 2019,
Revised:2020-04-26,
Published:16 June 2021
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张尚荣,肖建强,刘芳兰等.基于功率法的结构⁃TMD减震控制分析[J].防灾减灾工程学报,2021,41(03):573-578.
ZHANG Shangrong,XIAO Jianqiang,LIU Fanglan,et al.The Research on Aseismic Effect of the Building Structure with TMDbased on Power Method[J].Journal of Disaster Prevention and Mitigation Engineering,2021,41(03):573-578.
张尚荣,肖建强,刘芳兰等.基于功率法的结构⁃TMD减震控制分析[J].防灾减灾工程学报,2021,41(03):573-578. DOI: 10.13409/j.cnki.jdpme.201902030.
ZHANG Shangrong,XIAO Jianqiang,LIU Fanglan,et al.The Research on Aseismic Effect of the Building Structure with TMDbased on Power Method[J].Journal of Disaster Prevention and Mitigation Engineering,2021,41(03):573-578. DOI: 10.13409/j.cnki.jdpme.201902030.
建立了结构⁃TMD振动方程,推导了无控结构和带TMD受控结构基于功率表达的运动方程,分别解释并给出了各种功率表达参数的物理意义,推导了随机激励下结构耗能功率流均值的随机表达式,对比分析了基于功率法的结构⁃TMD优化方法与其他优化方法的优化分析结果,并对其减震控制效果进行了对比分析。结果表明,结构⁃TMD系统的参数可以通过耗能功率流随机分析方法所得均值进行优化,且通过功率法优化后,结构在减震效果上优于其他传统方法得到的结果,从耗能功率均值的随机分析和时程功率分析角度证明了TMD控制的有效性;TMD做功功率为负时对结构有控制效果,起吸收转移能量的作用,且功率幅值越大控制效果越好,做功功率为正时则相反。
The vibration equation of the structure-TMD was built and the power equations for the un-control structure as well as the structure with TMD were derived. The physical meanings of the parameters in different power expressions were explained, respectively. The random expression of the mean value of energy dissipation power flow of structures under stochastic excitation was deduced. The optimization analysis results of the structure-TMD optimization method based on the power method and other optimization methods which proposed by Den Hartog and Tsai were compared and analyzed, and the effect of seismic control was discussed. It is shown that the parameters of TMD-structure system can be optimized with average dissipation energy power, and the damping effects obtained by TMD-structure were better than those by other traditional methods. The effectiveness of TMD control was proved by stochastic analysis and time-history power analysis. Seismic effect existed if work power of TMD was negative value and the TMD played a role in energy absorption; moreover, the larger the power, the better the damping effects, while the opposite result would occur with the positive power value.
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