基于静力可靠度理论的结构抗震可靠性评估方法

发布时间：2018-04-28 02:02

本文选题：结构抗震 + 一次二阶矩理论　；参考：《长沙理工大学》2015年硕士论文

【摘要】：地震的发生会给人类带来不可估量的损失,包括生命和财产。研究者们相继提出了多钟关于建筑物的安全性评估方法以此来计算结构在地震作用下的可靠度。本文在结构抗震可靠性评估方面,采用以静力可靠度理论为主,动静结合的方法去分析问题,能够有效地简化问题。本文的研究主要从三个方面入手,一是研究目前国内外对静力可靠度理论和方法的发展状况,比较各方法的优缺点,本文采用的是一次二阶矩理论中的JC法开展的工作。二是针对抗震可靠性的评估,假设随机响应过程X(t)是线性单自由度体系受金井清谱干扰下的平稳反应。三运用MATLAB程序对此方法进行编程,来减少计算的工作量。通过这些工作,得出如下结论:(1)通过研究结构可靠度理论与方法,得知结构功能函数或者变量处于不同的约束条件下应用不同的结构可靠度计算方法,计算得到的可靠指标精度不一。在静力可靠度计算方法中最为经典,也被广泛应用是一次二阶矩理论中的JC法。(2)以单自由度体系为对象,通过MATLAB编写程序,获得了基于静力可靠度理论的结构抗震可靠指标的求解,相关数据直接通过Workspace就可以观察到,方便问题的研究。(3)分析了金井清谱密度和结构安全界限对结构可靠指标的影响及其变化规律。研究表明,随着金井清谱密度的变大,结构的可靠概率会降低;随着结构安全界限的变大,结构的可靠概率会升高。
[Abstract]:Earthquakes can cause incalculable damage to human beings, including lives and property. Researchers have proposed a multi-clock method to evaluate the safety of buildings in order to calculate the reliability of structures under earthquake action. In this paper, the static reliability theory is used to analyze the seismic reliability of structures, and the method of dynamic and dynamic combination is used to analyze the problem. It can simplify the problem effectively. The research of this paper mainly starts from three aspects. The first is to study the development of static reliability theory and methods at home and abroad, compare the advantages and disadvantages of each method, and use the JC method in the first-order second moment theory. Secondly, for the evaluation of seismic reliability, it is assumed that the stochastic response process XT) is the stationary response of linear single-degree-of-freedom systems under the interference of the Jinjing spectrum. Use MATLAB program to program this method, to reduce the workload of calculation. By studying the theory and method of structural reliability, we know that different structural reliability calculation methods are used under different constraint conditions for structural function functions or variables. The accuracy of the reliability index calculated is different. JC method, which is widely used in the first-order second moment theory, is the most classical method for calculating the static reliability. The single degree of freedom system is taken as the object, and the program is written by MATLAB. The calculation of seismic reliability index of structures based on static reliability theory is obtained, and the relevant data can be observed directly through Workspace. In this paper, the influence of clear spectrum density and structural safety limit on structural reliability index and its variation rule are analyzed. The results show that the reliability probability of the structure decreases with the increase of the spectral density of Jinjing, and the reliability probability of the structure increases with the increase of the safety limit of the structure.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU311.2;TU352.11

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