基于对数螺旋组合面的黏性土被动土压力数值解
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摘要
【目的】针对对数螺旋组合面图解法计算被动土压力过程繁琐和精度低的问题,探讨其数值计算方法,以提高计算精度,方便工程应用。【方法】基于对数螺旋组合面法的基本原理,运用数学、力学手段,推得了可用于编程试算的黏性填土挡土墙的被动土压力计算公式,并用实际算例对公式进行了检验。【结果】算例分析表明,基于库仑理论的计算值明显大于研究所建方法的计算结果,其差值随着填土的内摩擦角φ、黏聚力c及填土与挡墙之间的外摩擦角δ的增大而增大,而随着墙背倾角ε的增大而减小。【结论】对数螺旋组合面比较切合工程实际,采用研究建立的方法计算被动土压力,可优化工程设计,降低工程造价。
【Objective】 Applying logarithmic spiral combination of surface,the graphical method is used to calculate the passive earth pressure usually.The procedure of the graphical method is complicated and its precision is poor as well.The numerical method is investigated in order to improve the accuracy and facilitate the engineering application.【Method】 Based on the principle of the combination of surface analysis on the logarithmic spiral and methods of mathematics and mechanics method,a formula of passive earth pressure on cohesive soil,which can be applied to the trial calculation by programming procedures,is proposed.The formula is validated by the results of practical calculation example.【Result】 The example shows that the calculated results of coulomb theory is significantly greater than those of the research methods and the difference increases with a rise in the internal friction angle φ,the cohesion force c and the external friction angle δ between fill and retaining wall,but the difference reduces with a rise in the wall angle of inclination ε.【Conclusion】 The logarithmic spiral combination of surface is more in line with actual project;The passive earth pressure is calculated by the research method,which can optimize the engineering design and reduce project cost.
【Objective】 Applying logarithmic spiral combination of surface,the graphical method is used to calculate the passive earth pressure usually.The procedure of the graphical method is complicated and its precision is poor as well.The numerical method is investigated in order to improve the accuracy and facilitate the engineering application.【Method】 Based on the principle of the combination of surface analysis on the logarithmic spiral and methods of mathematics and mechanics method,a formula of passive earth pressure on cohesive soil,which can be applied to the trial calculation by programming procedures,is proposed.The formula is validated by the results of practical calculation example.【Result】 The example shows that the calculated results of coulomb theory is significantly greater than those of the research methods and the difference increases with a rise in the internal friction angle φ,the cohesion force c and the external friction angle δ between fill and retaining wall,but the difference reduces with a rise in the wall angle of inclination ε.【Conclusion】 The logarithmic spiral combination of surface is more in line with actual project;The passive earth pressure is calculated by the research method,which can optimize the engineering design and reduce project cost.
引文
[1]华南理工大学.地基及基础[M].北京:中国建筑出版社,1998:133-148.South China University of Technology.Foundation and basis[M].Beijing:China Architecture&Building Press,1998:133-148.(in Chinese)
[2]顾慰慈.挡土墙土压力计算[M].北京:中国建材工业出版社,2005:210-228.Guo WC.Calculation of earth pressure on retaining wall[M].Beijing:China Building Materials Industry Press,2005:210-228.(in Chinese)
[3]胡晓军,谭晓慧.黏性土被动土压力计算的库仑数值解[J].河海大学学报:自然科学版,2009,37(3):304-307.Hu XJ,Tan X H.Coulomb numerical solution of passive earthpressure on cohesive soil[J].Journal of Hohai University:Natural Sciences,2009,37(3):304-307.(in Chinese)
[4]李兴高,刘维宁.被动土压力作用的变分极限平衡法研究[J].工程力学,2007,24(1):11-16.Li X G,Liu WN.Study onthe passive earth pressure by varia-tional li mite equilibrium method[J].Engineering Mechanics,2007,24(1):11-16.(in Chinese)
[5]Cheng Y M.Seismic lateral earth pressure coefficients for c-φsoils by slip line method[J].Computers and Geotechnics,2003,30(7):661-670.
[6]李永刚.挡土墙被动土压力研究[J].岩土力学,2003,24(2):273-276.Li Y G.Study on passive earth pressure of retaining wall[J].Rock and Soil Mechanics,2003,24(2):273-276.(in Chinese)
[7]王元战,李珊珊,李新国.挡土墙被动土压力分布与被动侧压力系数[J].中国港湾建设,2006,144(4):9-12.Wang YZ,Li S S,Li X G.Passive earth pressure on a retainingwall and coefficient of passive lateral earth pressure[J].ChinaHarbour Engineering,2006,144(4):9-12.(in Chinese)
[8]王俊杰,朱俊高,魏松.刚性挡土墙被动土压力的计算及影响分析[J].哈尔滨工业大学学报,2004,36(11):1483-1486.Wang J J,Zhu J G,Wei S.A generalized computing equationandinfluencing factors of passive earth pressure acting on rigidretaining wall[J].Journal of Harbin Institute of Technology,2004,36(11):1483-1486.(in Chinese)
[9]顾长存,陆海源,刘汉龙,等.不同变位模式下挡土墙被动土压力的计算与分析[J].河海大学学报:自然科学版,2005,33(4):430-433.Gu C C,Lu H Y,Liu H L,et al.Passive earth pressure on theretaining wall under various modes of movement[J].Journal ofHohai University:Natural Sciences,2005,33(4):430-433.(inChinese)
[10]彭明祥.挡土墙被动土压力的库仑统一解[J].岩土工程学报,2008,30(12):1783-1788.Peng M X.Coulumb’s unified solution of passive earth pres-sure onthe retaining wall[J].Chinese Journal of GeotechnicalEngineering,2008,30(12):1783-1788.(in Chinese)
[11]彭润民,纪秋林.不同变位模式刚性挡土墙的动被动土压力[J].岩土力学,2009,30(增刊2):34-48.Peng R M,Ji Q L.Dynamic passive earth pressure on retai-ning wall under various modes of movement[J].Rock andSoil Mechanics,2009,30(Suppl.2):34-48.(in Chinese)
[12]杨剑,高玉峰,程永锋,等.挡土墙背摩擦角为负的被动土压力研究[J].水利学报,2010,41(6):684-690.Yang J,Gao Y F,Cheng Y F,et al.Study on passive earthpressure for negative wall friction angle[J].Journal of Hy-draulic Engineering,2010,41(6):684-690.(in Chinese)
[13]Kumar J.Seismic passive earth pressure coefficients for sands[J].Canadian Geotechnical Journal,2001,38:876-881.
[14]杨剑,高玉峰,程永锋,等.地震条件下倾斜挡土墙被动土压力研究[J].岩土工程学报,2009,31(9):1391-1396.Yang J,Gao Y F,Cheng Y F,et al.Passive earth pressure ofinclined retaining walls under seismic condition[J].ChineseJournal of Geotechnical Engineering,2009,31(9):1391-1396.(in Chinese)
[15]王奎华,马少俊,刘骏龙,等.一种包含库仑和朗肯理论的土压力计算方法[J].浙江大学学报:工学版,2010,44(5):970-975.Wang K H,Ma S J,Liu J L,et al.Generic algorithmfor earthpressure involving Coulomb and Rankine pressure theory[J].Journal of Zhejiang University:Engineering Science,2010,44(5):970-975.(in Chinese)
[2]顾慰慈.挡土墙土压力计算[M].北京:中国建材工业出版社,2005:210-228.Guo WC.Calculation of earth pressure on retaining wall[M].Beijing:China Building Materials Industry Press,2005:210-228.(in Chinese)
[3]胡晓军,谭晓慧.黏性土被动土压力计算的库仑数值解[J].河海大学学报:自然科学版,2009,37(3):304-307.Hu XJ,Tan X H.Coulomb numerical solution of passive earthpressure on cohesive soil[J].Journal of Hohai University:Natural Sciences,2009,37(3):304-307.(in Chinese)
[4]李兴高,刘维宁.被动土压力作用的变分极限平衡法研究[J].工程力学,2007,24(1):11-16.Li X G,Liu WN.Study onthe passive earth pressure by varia-tional li mite equilibrium method[J].Engineering Mechanics,2007,24(1):11-16.(in Chinese)
[5]Cheng Y M.Seismic lateral earth pressure coefficients for c-φsoils by slip line method[J].Computers and Geotechnics,2003,30(7):661-670.
[6]李永刚.挡土墙被动土压力研究[J].岩土力学,2003,24(2):273-276.Li Y G.Study on passive earth pressure of retaining wall[J].Rock and Soil Mechanics,2003,24(2):273-276.(in Chinese)
[7]王元战,李珊珊,李新国.挡土墙被动土压力分布与被动侧压力系数[J].中国港湾建设,2006,144(4):9-12.Wang YZ,Li S S,Li X G.Passive earth pressure on a retainingwall and coefficient of passive lateral earth pressure[J].ChinaHarbour Engineering,2006,144(4):9-12.(in Chinese)
[8]王俊杰,朱俊高,魏松.刚性挡土墙被动土压力的计算及影响分析[J].哈尔滨工业大学学报,2004,36(11):1483-1486.Wang J J,Zhu J G,Wei S.A generalized computing equationandinfluencing factors of passive earth pressure acting on rigidretaining wall[J].Journal of Harbin Institute of Technology,2004,36(11):1483-1486.(in Chinese)
[9]顾长存,陆海源,刘汉龙,等.不同变位模式下挡土墙被动土压力的计算与分析[J].河海大学学报:自然科学版,2005,33(4):430-433.Gu C C,Lu H Y,Liu H L,et al.Passive earth pressure on theretaining wall under various modes of movement[J].Journal ofHohai University:Natural Sciences,2005,33(4):430-433.(inChinese)
[10]彭明祥.挡土墙被动土压力的库仑统一解[J].岩土工程学报,2008,30(12):1783-1788.Peng M X.Coulumb’s unified solution of passive earth pres-sure onthe retaining wall[J].Chinese Journal of GeotechnicalEngineering,2008,30(12):1783-1788.(in Chinese)
[11]彭润民,纪秋林.不同变位模式刚性挡土墙的动被动土压力[J].岩土力学,2009,30(增刊2):34-48.Peng R M,Ji Q L.Dynamic passive earth pressure on retai-ning wall under various modes of movement[J].Rock andSoil Mechanics,2009,30(Suppl.2):34-48.(in Chinese)
[12]杨剑,高玉峰,程永锋,等.挡土墙背摩擦角为负的被动土压力研究[J].水利学报,2010,41(6):684-690.Yang J,Gao Y F,Cheng Y F,et al.Study on passive earthpressure for negative wall friction angle[J].Journal of Hy-draulic Engineering,2010,41(6):684-690.(in Chinese)
[13]Kumar J.Seismic passive earth pressure coefficients for sands[J].Canadian Geotechnical Journal,2001,38:876-881.
[14]杨剑,高玉峰,程永锋,等.地震条件下倾斜挡土墙被动土压力研究[J].岩土工程学报,2009,31(9):1391-1396.Yang J,Gao Y F,Cheng Y F,et al.Passive earth pressure ofinclined retaining walls under seismic condition[J].ChineseJournal of Geotechnical Engineering,2009,31(9):1391-1396.(in Chinese)
[15]王奎华,马少俊,刘骏龙,等.一种包含库仑和朗肯理论的土压力计算方法[J].浙江大学学报:工学版,2010,44(5):970-975.Wang K H,Ma S J,Liu J L,et al.Generic algorithmfor earthpressure involving Coulomb and Rankine pressure theory[J].Journal of Zhejiang University:Engineering Science,2010,44(5):970-975.(in Chinese)
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