边坡可靠度分析的响应面方法比较研究Comparison among response surface methods for slope reliability analysis
李典庆;郑栋;曹子君;唐小松;
摘要(Abstract):
系统地总结了多种响应面法(RSM)在不同类型边坡可靠度问题中的应用情况,通过文献分析总结出4类典型土坡可靠度问题:问题Ⅰ,单层土坡不考虑参数空间变异性;问题Ⅱ,单层土坡考虑参数空间变异性;问题Ⅲ,多层土坡不考虑参数空间变异性;问题Ⅳ,多层土坡考虑参数空间变异性.重点研究了基于多项式的4种响应面法(SQRSM、MQRSM、SSRSM和MSRSM)在解决4类土坡可靠度问题(问题ⅠⅣ)中的有效性.分别从计算精度和计算效率两个方面系统地比较了4种响应面法在黏性土坡和c-土坡可靠度问题中的适用性.结果表明:对于不考虑土性参数空间变异性的单层土坡可靠度问题(问题Ⅰ),推荐SQRSM;当单层土坡考虑土性参数空间变异性时(问题Ⅱ),推荐MSRSM;对于不考虑空间变异性的多层土坡可靠度问题(问题Ⅲ),推荐MQRSM;对于考虑参数空间变异性的多层土坡可靠度问题(问题Ⅳ),推荐采用MSRSM方法.
关键词(KeyWords): 边坡稳定;可靠度;空间变异性;响应面法;失效概率
基金项目(Foundation): 国家自然科学基金项目(编号:51329901;51579190;51528901);; 湖北省自然科学基金创新群体项目(编号:2014CFA001)
作者(Authors): 李典庆;郑栋;曹子君;唐小松;
DOI: 10.14188/j.1671-8844.2017-01-001
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