摘要
边坡可靠性分析大多以侵入式随机有限元法为主,具有抽样次数多、耗时长、通用性差等缺点,而非侵入式可靠度分析方法能够很好地解决上述问题。提出一种基于拉丁超立方抽样-切比雪夫多项式随机展开模型(Latin hypercube sampling-Chebyshev polynomial stochastic expansion, LHS-CPSE)的非侵入式边坡可靠性分析方法(简称LHS-CPSE法),并以兰州市盐什公路一段边坡为案例验证LHS-CPSE法的可靠性,同时将其应用在坡体开挖方案决策中。研究结果表明:LHS-CPSE法与直接蒙特卡洛法结果非常接近,验证了该方法的准确性和可靠性;3阶CPSE随机展开模型较2阶CPSE随机展开模型计算精度略高0.23%,但前者的计算效率是后者的1/3,兼顾精度和效率推荐采用2阶CPSE随机展开模型;随着Ⅰ级边坡平台宽度的增加,开挖量与边坡平均安全系数呈递增趋势,但可靠度呈“先急剧增大,再趋于稳定”的态势,兼顾工程造价与安全考虑,其边坡平台按照4.5 m设计较为合理;LHS-CPSE法能够快速准确地计算边坡的可靠度,可以为边坡设计和决策提供技术支撑。
The reliability analysis of slope is mainly conducted by invasive random finite element method,with such disadvantages as high sampling times,long time consuming and poor generality,while the non-invasive reliability analysis method can well address the above problems.A non-invasive slope reliability analysis method based on Latin hypercube sampling-Chebyshev polynomial stochastic expansion(LHS-CPSE,abbreviated as LHS-CPSE method)was proposed,and its reliability was validated by a case involving a slope along Yanshi Highway in Lanzhou,China,which is also used in the slope excavation scheme decision.The results show that the LHS-CPSE method is excellent close to the findings of the direct Monte Carlo method,which validates its accuracy and reliability.The 3rd order CPSE random expansion model is slightly more accurate than the 2nd order CPSE random expansion model by 0.23%,but the computational efficiency of the former is 1/3 of that of the latter.With the increase in width of class-Ⅰslope platform,the excavation volume and the average safety coefficient of the slope show an increasing trend,but its reliability shows a trend of“first sharply increasing and then stabilizing”.Considering the cost and safety of the project,it is more reasonable to design the slope platform according to 4.5 m.LHS-CPSE method can rapidly and accurately calculate the slope reliability,which can provide technological support for slope design and decision-making.
作者
郭文礼
GUO Wen-li(Lanzhou Engineering&Research Institute of Nonferrous Metallurgy Co.,Ltd.,Lanzhou 730000,China)
出处
《科学技术与工程》
北大核心
2023年第25期10935-10940,共6页
Science Technology and Engineering
基金
兰州有色冶金设计研究院有限公司科研项目(2022-ky-05)。
关键词
可靠性
边坡
非侵入式
拉丁超立方抽样
切比雪夫多项式随机展开
强度折减法
reliability
slope
non-intrusive
Latin hypercube sampling
Chebyshev polynomial stochastic expansion
strength reduction method
作者简介
郭文礼(1978-),男,汉族,甘肃白银人,高级工程师。研究方向:岩土工程设计及可靠度。E-mail:Lanzhou_521@126.com。
