【摘要】：為深入掌握結(jié)構(gòu)在地震作用下的可靠性,研究地震激勵(lì)時(shí)間及安全界限對(duì)結(jié)構(gòu)抗震可靠性的影響。基于Matlab,首先對(duì)結(jié)構(gòu)在高斯過(guò)濾白噪聲地震動(dòng)模型(Kanai-Tajimi譜)激勵(lì)下的隨機(jī)響應(yīng)進(jìn)行了分析,然后分別采用泊松過(guò)程法、馬爾科夫過(guò)程法、瑞利極值分布法對(duì)結(jié)構(gòu)隨機(jī)響應(yīng)過(guò)程超越安全界限的概率進(jìn)行了計(jì)算,三者結(jié)果基本接近,較可靠地反映出結(jié)構(gòu)動(dòng)力可靠度變化規(guī)律。結(jié)果表明,結(jié)構(gòu)動(dòng)力可靠度隨激勵(lì)時(shí)間的增長(zhǎng)而下降,當(dāng)安全界限大于某確定值時(shí),動(dòng)力可靠度與激勵(lì)時(shí)間的關(guān)系接近于線性,當(dāng)安全界限小于該值時(shí),動(dòng)力可靠度與激勵(lì)時(shí)間呈二次非線性關(guān)系;結(jié)構(gòu)動(dòng)力可靠度隨安全界限增大而增大,激勵(lì)時(shí)間越長(zhǎng),動(dòng)力可靠度與安全界限關(guān)系曲線越陡,激勵(lì)時(shí)間越短,動(dòng)力可靠度與安全界限關(guān)系曲線越平緩。
[Abstract]:In order to grasp the reliability of structure under earthquake, the influence of seismic excitation time and safety limit on seismic reliability of structure is studied. Based on Matlab, the random response of the structure excited by Gao Si filtered white noise ground motion model (Kanai-Tajimi spectrum) is analyzed, and then Poisson process method and Markov process method are used respectively. The probability that the random response process of the structure exceeds the safety limit is calculated by the Rayleigh extreme value distribution method. The results of the three methods are basically close to each other, which reliably reflects the variation law of the dynamic reliability of the structure. The results show that the dynamic reliability of the structure decreases with the increase of excitation time. When the safety limit is greater than a certain value, the relationship between dynamic reliability and excitation time is close to linear, and when the safety limit is less than this value, There is a quadratic nonlinear relationship between dynamic reliability and excitation time. The dynamic reliability of the structure increases with the increase of the safety limit. The longer the excitation time is, the steeper the relationship curve between the dynamic reliability and the safety limit is, the shorter the excitation time is, and the more smooth the relationship curve between the dynamic reliability and the safety limit is.
【作者單位】： 長(zhǎng)沙理工大學(xué)土木與建筑學(xué)院;
【基金】：國(guó)家973計(jì)劃項(xiàng)目(2015CB057706) 國(guó)家自然科學(xué)基金項(xiàng)目(51108044) 湖南省教育廳科學(xué)研究項(xiàng)目(15C0053) 長(zhǎng)沙理工大學(xué)土木工程優(yōu)勢(shì)特色重點(diǎn)學(xué)科創(chuàng)新性項(xiàng)目(15ZDXK09)資助
【分類號(hào)】：U442.55

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