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基于对数螺旋组合面的黏性土被动土压力数值解
胡晓军,吴延枝
合肥学院 建筑工程系
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。
关键词:  黏性土  对数螺旋组合面  被动土压力  数值解
DOI:
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基金项目:安徽高等学校省级自然科学研究重点项目(KJ2009A158,KJ2011Z320);合肥学院引进人才科研启动基金项目(08RC14)
Numerical solution of the clay passive earth pressure based on combination of surface analysis on the logarithmic spiral
HU Xiaojun1, WU Yanzhi2
1.Department of Civil Engineering ,Hefei University;2.Department of Civil Engineering, Hefei University
Abstract:
【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.
Key words:  clay  logarithmic spiral combination of surface  passive earth pressure  numerical solution