公路边坡稳定性分析的二维变分方法
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摘要
基于变分法的基本原理与边坡稳定性变分分析的基本方法,推导和建立了边坡稳定二维变分分析的计算公式,并编制了相应的计算程序;结合公路边坡工程稳定性分析的实践,研究变分法在公路边坡稳定性分析中的应用,并与极限平衡分析方法进行对比。研究结果表明:变分法与极限平衡分析方法的分析结果在安全系数数值上比较接近;潜在滑动面的形状为对数螺旋滑动面而非圆弧滑动面,且采用对数螺旋滑动面进行变分分析更符合公路边坡工程的实际。
Based on basic principle of variational method and basic method of slope stability variational analysis,the corresponding calculation program was made.Combined with practical engineering of highway slope stability analysis,the application of variational method in highway slope stability analysis which was compared with limit equilibrium method was studied.The study results show that safety coefficient value of slope variational analysis is close to that of limit equilibrium method,but the potential sliding surface is logarithmic spiral sliding surface rather than rotational sliding surface,and variational analysis of using logarithmic spiral sliding surface is suitable for practical engineering of highway slope stability.
Based on basic principle of variational method and basic method of slope stability variational analysis,the corresponding calculation program was made.Combined with practical engineering of highway slope stability analysis,the application of variational method in highway slope stability analysis which was compared with limit equilibrium method was studied.The study results show that safety coefficient value of slope variational analysis is close to that of limit equilibrium method,but the potential sliding surface is logarithmic spiral sliding surface rather than rotational sliding surface,and variational analysis of using logarithmic spiral sliding surface is suitable for practical engineering of highway slope stability.
引文
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[3]BAKER R,GARBER M.Theoretical Analysis of theStability of Slopes[J].Geotechnique,1978,23(4):395-411.
[4]胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1981.HU Hai-chang.Variational Principle and Its Applica-tion on Elastic Mechanics[M].Beijing:Science Press,1981.
[5]柳厚祥,王开治.旋流器与分散管联合堆筑尾矿坝地震反应分析[J].岩土工程学报,1999,21(2):171-176.LIU Hou-xiang,WANG Kai-zhi.Analysis of SeismicResponse for Tailing Dams Using a New Technique ofCombining Accretion by Cyclone and Scatter Tube[J].Chinese Journal of Geotechnical Engineering,1999,21(2):171-176.
[6]陈传淼.有限元方法及其提高精度的分析[M].长沙:湖南科学技术出版社,1982.CHEN Chuan-miao.Finite Element Method and ItsAdvanced Precision Analysis[M].Changsha:HunanScience and Technology Press,1982.
[7]柳厚祥,廖雪,吴从师,等.公路工程结构抗震加固技术研究的现状与进展[J].建筑技术,2005,36(6):460-461.LIU Hou-xiang,LIAO Xue,WU Cong-shi,et al.Pres-ent Situation and Progress of Researches on Structur-al Anti-seismic and Improvement Technologies ofHighway Engineering[J].Architecture Technology,2005,36(6):460-461.
[8]田海波,王炳龙,许恺.膨胀土区域路堑换填厚度分析[J].交通运输工程学报,2006,6(2):22-25.TIAN Hai-bo,WANG Bing-long,XU Kai.Replace-ment Thickness Analysis of Cutting in Expansive SoilArea[J].Journal of Traffic and Transportation Engi-neering,2006,6(2):22-25.
[9]邓卫东,吴光勇,唐树名.路堑边坡破坏机理的试验与计算分析[J].中国公路学报,2001,14(3):21-24.DENG Wei-dong,WU Guang-yong,TANG Shu-ming.Test and Calculation on the Failure of CuttingSlope[J].China Journal of Highway and Transport,2001,14(3):21-24.
[10]聂跃高,刘伟全,施建勇,等.加速遗传算法在路堤边坡稳定性分析中的应用[J].中国公路学报,2003,16(4):16-20.NIE Yue-gao,LIU Wei-quan,SHI Jian-yong,et al.Application of Accelerating Genetic Algorithm forEmbankment Slope Stability Analysis[J].China Jour-nal of Highway and Transport,2003,16(4):16-20.
[11]王文生,谢永利,梁军林.膨胀土路堑边坡的破坏型式和稳定性[J].长安大学学报:自然科学版,2005,25(1):20-24.WANG Wen-sheng,XIE Yong-li,LIANG Jun-lin.Classification of Expansive Clay Slope on Road Cut-ting[J].Journal of Chang an University:Natural Sci-ence Edition,2005,25(1):20-24.
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