资源描述：
《基于多项式混沌展开的边坡稳定可靠性分析》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、第32卷第8期岩土工程学报Vol.32No.82010年.8月ChineseJournalofGeotechnicalEngineeringAug.2010基于多项式混沌展开的边坡稳定可靠性分析12344张宏涛，赵宇飞，李晨峰，纪洪广，王金安（1.北方工业大学土木工程系，北京100041；2.中国水利水电科学研究院，北京100044；3.Civil&ComputationalEngineeringCentre,SchoolofEngineering,SwanseaUniversity,SwanseaSA28PP,U
2、.K.；4.北京科技大学土木工程系，北京100083）摘要：利用Mohr-Coulomb屈服准则和塑性力学的上限定理，通过对离散条块边坡体构建机动许可速度场，建立了边坡稳定的虚功方程，其中岩土强度参数为随机变量，虚功方程为非线性随机平衡方程，安全系数成为随机变量的函数。再用多项式混沌展开和随机Galerkin算法对上述方程进行求解，优化得到了边坡临界滑面及其失效概率和稳定系数，得出了基于多项式混沌展开的岩土边坡可靠性的分析方法。数值算例表明该方法能对不确定性参数的岩土边坡稳定性进行有效评估和预测。关键词：边坡稳定；
3、极限分析；多项式混沌；非线性随机方程；失效概率中图分类号：TU45；TD853.34文献标识码：A文章编号：1000–4548(2010)08–1253–07作者简介：张宏涛(1978–)，男，山东青州人，讲师，从事边坡及岩石力学研究。E-mail:zhanghongtao95@tsinghua.org.cn。Reliabilityanalysisofslopestabilitybasedonpolynomialchaosexpansion12344ZHANGHong-tao,ZHAOYu-fei,LIChen-f
4、eng,JIHong-guang,WANGJin-an(1.DepartmentofCivilEngineering,NorthChinaUniversityofTechnology,Beijing100041,China;2.ChinaInstituteofWaterResourcesandHydropowerResearch,Beijing100044,China;3.Civil&ComputationalEngineeringCentre,SchoolofEngineering,SwanseaUniversi
5、ty,SwanseaSA28PP,U.K.;4.DepartmentofCivilEngineering,BeijingUniversityofScienceandTechnology,Beijing100083,China)Abstract:Aprobabilisticnumericalapproachforthestabilityanalysisofsoilandrockslopesispresentedbasedonthepolynomialchaosexpansion.Theslopeisdividedin
6、toafamilyofinclinedslices.ByusingtheMohr-Coulombyieldcriterionandaccordingtotheupperboundtheoreminplasticitytheory,awork-energybalanceequationisproposedforeachsoil/rockslicewithrespecttothekinematically-admissibleglobalvelocityfieldoftheslope.Geotechnicalparam
7、etersaremodelledasrandomvariables,andthesafetyfactoristreatedasafunctionaloftheserandomparameters.ByusingthepolynomialchaosexpansionandastochasticGalerkinoptimizationprocess,therandomsafetyfactorandthecorrespondingcriticalfailuresurfacearesolved.Severalnumeric
8、alexamplesdemonstratethattheproposedmethodhastheadvantageofaccuratelyestimatingnotonlythesafetyfactorandthecriticalfailuresurfacebutalsothefailureprobabilityoftheslope.Keywords:slo
