支持向量机与谱表示法模拟随机场及在可靠度中的应用  

Simulation of Random Fields by Support Vector Machine and Spectral Representation and Its Application in Reliability

作　　者：杨庆年[1] 赵骏 张再伟 YANG Qing-nian;ZHAO Jun;ZHANG Zai-wei(School of Civil Engineering,Nanyang Institute of Technology,Nanyang 473004,Chin)

机构地区：[1]南阳理工学院土木工程学院,河南南阳473004

出　　处：《土木工程与管理学报》2018年第3期58-66,共9页Journal of Civil Engineering and Management

基　　金：国家自然科学基金(51378234);国家重点研发计划(2016YFC0800206)

摘　　要：本文在传统的谱表示法的基础上,引入基于马尔可夫链改进的支持向量机法与谱表示法耦合,提高了传统的谱表示法在模拟多维多元随机场参数间互相关性的精度,并将此方法用至武汉市轨道交通7号线一期工程,评价该地铁中过江段的可靠度。数值算例表明在样本数量较少的条件下,基于耦合算法模拟随机场不仅能有效的描述变量的自相关性,而且能够准确的描述变量间的互相关性,弥补了传统的谱表示法在模拟互相关性方面的不足,为解决小样本条件下模拟多维多元随机场提供了一种有效的途径。且基于马尔可夫链的支持向量机法收敛速度更快,能够明显减少计算次数,提高计算效率,更适用于实际工程。A new approach that combines spectral representation method and support vector machine is proposed to accurately describe uncertain soil parameters. The proposed method can facilitate the accurate simulation of auto-correlation and cross-correlation for a small sample size than the conventional SRM. The proposed method was used to analyze the reliability of Wuhan Metro Line 7.The proposed method can facilitate the accurate simulation of auto-correlation and cross-correlation for a small sample size. Numerical cases demonstrate that the proposed approach improves the efficiency and precision of random field discretization and reliability analysis,thereby making it feasible to be applied to highly complex engineering problems. Taking Wuhan Metro Line 7 as an example and modeled by ANSYS,this paper calculates the failure probability of tunnel lining by the proposed method and the traditional methods respectively and compares the results. The results indicate that spatial variability considerably influences the stability of tunnel.

关 键 词：谱表示法 支持向量机 随机场 互相关性 

分 类 号：TU43[建筑科学—岩土工程]