基于LHS抽样RSM数据表的边坡可靠度研究
|
摘要
为有效求解边坡可靠度,采用拉丁超立方(LHS)抽样提出了基于响应面法(RSM)数据表的边坡可靠度计算模型。考虑影响边坡稳定性的主要强度参数c,φ的不确定性,采用LHS抽样构建RSM随机样本点,借助岩土工程极限平衡的Slide程序获取样本响应值;通过将数据表法与RSM结合求解边坡可靠指标及失效概率。以Monte Carlo法计算结果作为可靠性分析的基准解,并与基本2层土坡模型和托巴110 k V施工变电站边坡计算结果进行对比分析,结果表明此方法不仅精度满足要求,且计算量较小、效率高,对实际工程边坡可靠度分析具有一定指导意义。
A slope reliability calculation model combining spreadsheet method and Response Surface Method( RSM) based on Latin Hypercube Sampling( LHS) is presented to solve slope reliability issue effectively. In consideration of the uncertainties of strength parameters cohesion c and friction angle φ which have significant impact on slope stability,LHS sampling is used to establish random sample points of RSM,and the response values of sample points are obtained based on slide program. By combining the spreadsheet method with the RSM,the reliability index and failure probabilities are solved. With Monte Carlo results as a benchmark reference,a comparison of calculation results for basic two-layer slope model and Tuoba 110 kV substation slope show that the proposed method is of high accuracy,less computational efforts,and higher efficiency,and is of guiding importance for the reliability analysis of practical engineering slope.
A slope reliability calculation model combining spreadsheet method and Response Surface Method( RSM) based on Latin Hypercube Sampling( LHS) is presented to solve slope reliability issue effectively. In consideration of the uncertainties of strength parameters cohesion c and friction angle φ which have significant impact on slope stability,LHS sampling is used to establish random sample points of RSM,and the response values of sample points are obtained based on slide program. By combining the spreadsheet method with the RSM,the reliability index and failure probabilities are solved. With Monte Carlo results as a benchmark reference,a comparison of calculation results for basic two-layer slope model and Tuoba 110 kV substation slope show that the proposed method is of high accuracy,less computational efforts,and higher efficiency,and is of guiding importance for the reliability analysis of practical engineering slope.
引文
[1]陈祖煜.土质边坡稳定分析——原理、方法、程序[M].北京:中国水利水电出版社,2003.
[2]祝玉学.边坡可靠性分析[M].北京:治金工业出版社,1993.
[3]SPENCER E E.A Method of the Analysis of the Stability of Embankments Assuming Parallel Inter-slice Forces[J].Geotechnique,1967,17(1):11-26.
[4]BISHOP A W.The Use of Slip Circle in the Stability Analysis of Slopes[J].Geotechnique,1955,5(1):7-17.
[5]罗文强,王亮清,龚钰.正态分布下边坡稳定性二元指标体系研究[J].岩石力学与工程学报,2005,24(13):2288-2292.
[6]李炜.边坡稳定性联合评价方法[J].交通运输工程学报,2010,10(5):8-11.
[7]饶运章,张学焱,利坚,等.边坡安全系数与滑坡概率关系分析[J].长江科学院院报,2017,34(5):63-67.
[8]黄志全,李华晔,马莎,等.岩石边坡块状结构岩体稳定性分析和可靠性评价[J].岩石力学与工程学报,2004,23(24):4200-4205.
[9]桂勇,邓通发,罗嗣海,等.基于蒙塔卡罗边坡稳定二元体系的建立与应用[J].岩土力学,2014,35(7):1979-1986.
[10]罗文强,龚珏,王亮清,等.对数正态分布下边坡稳定性二元指标体系研究[J].山地学报,2005,23(4):442-446.
[11]尚明芳,刘小强,周世良,等.一种新的边坡稳随机评价指标[J].水运工程,2011,(8):19-23.
[12]刘小强,尚明芳,周世良,等.基于随机二元指标的边坡稳定性分析[J].西北地震学报,2011,(增1):99-104.
[13]吴振君,王水林,汤华,等.边坡可靠度分析的一种新的优化求解方法[J].岩土力学,2010,31(3):713-718.
[14]张璐璐,张洁,徐耀,等.岩土工程可靠度理论[M].上海:同济大学出版社,2011.
[15]RAJASHEKHAR M R,ELLINGWOOD B R.A New Look at the Response Surface Approach for Reliability Analysis[J].Structural Safety,1993,(6):205-220.
[16]HASSAN A M,WOLFF T F.Search Algorithm for Minimum Reliability Index of Earth Slopes[J].Journal of Geotechnical and Geoenvironental Engineering,1999,125(4):301-308.
[17]马建全,李广杰,徐佩华,等.基于拉丁方抽样及K-S检验的边坡可靠性分析[J].岩土力学,2011,32(7):2153-2156.
[2]祝玉学.边坡可靠性分析[M].北京:治金工业出版社,1993.
[3]SPENCER E E.A Method of the Analysis of the Stability of Embankments Assuming Parallel Inter-slice Forces[J].Geotechnique,1967,17(1):11-26.
[4]BISHOP A W.The Use of Slip Circle in the Stability Analysis of Slopes[J].Geotechnique,1955,5(1):7-17.
[5]罗文强,王亮清,龚钰.正态分布下边坡稳定性二元指标体系研究[J].岩石力学与工程学报,2005,24(13):2288-2292.
[6]李炜.边坡稳定性联合评价方法[J].交通运输工程学报,2010,10(5):8-11.
[7]饶运章,张学焱,利坚,等.边坡安全系数与滑坡概率关系分析[J].长江科学院院报,2017,34(5):63-67.
[8]黄志全,李华晔,马莎,等.岩石边坡块状结构岩体稳定性分析和可靠性评价[J].岩石力学与工程学报,2004,23(24):4200-4205.
[9]桂勇,邓通发,罗嗣海,等.基于蒙塔卡罗边坡稳定二元体系的建立与应用[J].岩土力学,2014,35(7):1979-1986.
[10]罗文强,龚珏,王亮清,等.对数正态分布下边坡稳定性二元指标体系研究[J].山地学报,2005,23(4):442-446.
[11]尚明芳,刘小强,周世良,等.一种新的边坡稳随机评价指标[J].水运工程,2011,(8):19-23.
[12]刘小强,尚明芳,周世良,等.基于随机二元指标的边坡稳定性分析[J].西北地震学报,2011,(增1):99-104.
[13]吴振君,王水林,汤华,等.边坡可靠度分析的一种新的优化求解方法[J].岩土力学,2010,31(3):713-718.
[14]张璐璐,张洁,徐耀,等.岩土工程可靠度理论[M].上海:同济大学出版社,2011.
[15]RAJASHEKHAR M R,ELLINGWOOD B R.A New Look at the Response Surface Approach for Reliability Analysis[J].Structural Safety,1993,(6):205-220.
[16]HASSAN A M,WOLFF T F.Search Algorithm for Minimum Reliability Index of Earth Slopes[J].Journal of Geotechnical and Geoenvironental Engineering,1999,125(4):301-308.
[17]马建全,李广杰,徐佩华,等.基于拉丁方抽样及K-S检验的边坡可靠性分析[J].岩土力学,2011,32(7):2153-2156.