A reliability analysis method for earthquake resistance of large complex building structure

一种大型复杂建筑结构抗震可靠性分析方法

¹ School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China
² Norendar International Ltd., Shijiazhuang 050011, China

Received: 22 June 2020

Abstract

The seismic reliability calculation of complex building structures requires a lot of simulation analysis and therefore the calculation cost is high. Fitting performance function with surrogate model can improve computational efficiency, but how to ensure the calculation accuracy while improving the reliability analysis efficiency of the engineering structure is a problem worthy of study. This paper proposes a Kriging-based reliability analysis method, which establishes the Kriging surrogate model with fewer calculations of the performance function, improves the accuracy of the surrogate model of performance function by infill-sampling, and obtains the approximate failure probability combined with Monte Carlo simulation. Two numerical examples are analyzed; the results show that this method is efficient and accurate. The method is applied to the seismic reliability calculation of mega-sub controlled structural system, in which the randomness of structure and seismic action is considered. The application results show that it is an effective method for reliability analysis of complex building structures.

摘要

计算复杂结构的抗震可靠度需要进行大量仿真分析因而计算成本较高，使用代理模型拟合功能函数可以提高计算效率，但如何在提高工程结构可靠性分析效率的同时保证计算精度是一个值得研究的问题。提出一种基于Kriging模型的可靠性分析方法，其以较少次功能函数的计算建立Kriging代理模型，通过加点采样来提高功能函数代理模型的精度，结合Monte Carlo模拟得到失效概率的近似值。分析了2个数值算例，结果表明该方法是高效的和准确的。将其应用于巨-子型有控结构的抗震可靠度计算中，其中考虑了结构和地震作用的随机性，分析结果表明该方法是一种适用于复杂建筑结构可靠性分析的有效方法。