基于局部平稳法的黏滞阻尼被动控制结构抗震可靠度分析
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摘要
针对基于确定性激励的被动控制装置参数设计不具有普遍性的问题,提出了黏滞阻尼被动控制结构在一般非平稳随机地震动作用下抗震可靠度分析的局部平稳法。首先基于非平稳随机过程的局部平稳小波模型,提出了适用于临界阻尼比较大的黏滞阻尼被动控制结构的非平稳地震动输入-多自由度(受控)结构位移响应输出的功率谱关系。其次,根据超越过程的Markov过程假定及各阶响应谱矩,得到了受控结构层间位移的动力可靠度。数值分析结果表明:黏滞阻尼器在不同层间的配置,对受控结构的层间动力可靠度有显著影响。最后,以一个6层剪切型多自由度结构为例,对比了Monte Carlo模拟估计与本文所提方法计算的结构动力可靠度,验证了该方法的可靠性与高效性。
A novel seismic reliability analysis approach of passive controlled MDOF structural systems subject to full non-stationary earthquake excitations presented via the harmonic wavelet.The structure is equipped with viscous fluid dampers which are widely used in the structural passive controlled structure.Specifically,a Power Spectral Density(PSD)relationship between the excitation and displacement response of controlled structure is firstly obtained,employing the Local Stationary Wavelet representation of non-stationary stochastic process.Next,storey drift reliabilities of distinct storeys are calculated by the response of PSDs and their moments based on the Markovian assumption of the crossing process.Finally,numerical simulations show that different distributions of viscous dampers may lead to distinct storey reliabilities.Pertinent Monte Carlo simulations show the reliability and accuracy of the proposed technique.
引文
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