地震持时和安全阈值对结构抗震可靠度的影响研究
发布时间：2019-05-08 19:12
【摘要】：为深入掌握结构在地震作用下的可靠性,研究地震激励时间及安全界限对结构抗震可靠性的影响。基于Matlab,首先对结构在高斯过滤白噪声地震动模型(Kanai-Tajimi谱)激励下的随机响应进行了分析,然后分别采用泊松过程法、马尔科夫过程法、瑞利极值分布法对结构随机响应过程超越安全界限的概率进行了计算,三者结果基本接近,较可靠地反映出结构动力可靠度变化规律。结果表明,结构动力可靠度随激励时间的增长而下降,当安全界限大于某确定值时,动力可靠度与激励时间的关系接近于线性,当安全界限小于该值时,动力可靠度与激励时间呈二次非线性关系;结构动力可靠度随安全界限增大而增大,激励时间越长,动力可靠度与安全界限关系曲线越陡,激励时间越短,动力可靠度与安全界限关系曲线越平缓。
[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.
【作者单位】： 长沙理工大学土木与建筑学院;
【基金】：国家973计划项目(2015CB057706) 国家自然科学基金项目(51108044) 湖南省教育厅科学研究项目(15C0053) 长沙理工大学土木工程优势特色重点学科创新性项目(15ZDXK09)资助
【分类号】：U442.55
本文编号：2472164
[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.
【作者单位】： 长沙理工大学土木与建筑学院;
【基金】：国家973计划项目(2015CB057706) 国家自然科学基金项目(51108044) 湖南省教育厅科学研究项目(15C0053) 长沙理工大学土木工程优势特色重点学科创新性项目(15ZDXK09)资助
【分类号】：U442.55
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