基于Melan解的地下连续墙结构分析方法
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摘要
针对深基坑支护的多支撑地下连续墙结构,考虑分步开挖和支撑对墙体的内力和位移以及支撑反力的影响,提出以弹性地基梁为基础的矩阵位移法。在求解矩阵位移法的过程中,确定土体的水平基床系数成为分析地下连续墙变形和内力的关键。Melan给出半无限大弹性空间内部线性荷载作用下的应力和位移解,在Melan解的基础上,通过对其应力解进行积分处理,并结合平面应变问题的物理方程和几何方程,得到条形荷载作用下的位移解,进而得到水平基床系数。将Melan解的矩阵位移法运用到工程实例中,并将实测结果与计算结果进行比较,验证了其可行性和正确性,可为同类工程结构设计提供理论基础。
For multi-braced diaphragm wall structure calculation,a matrix displacement method based on the theory of elastic foundation beam is derived considering the effects of staged excavation upon internal force and displacement as well as the bracing force.Based on the Melan’s solution,combining with the geometrical plane-strain problems,a displacement solution in semi-infinite elastic under horizontal strip load is derived.Furthermore,the horizontal foundation coefficient applied to the above matrix displacement method is gained.Compared with measured results of diaphragm wall obtained from engineering cases,the analysis results indicate that the matrix displacement method is convenient and feasible,and it can provide references to the similar projects.
For multi-braced diaphragm wall structure calculation,a matrix displacement method based on the theory of elastic foundation beam is derived considering the effects of staged excavation upon internal force and displacement as well as the bracing force.Based on the Melan’s solution,combining with the geometrical plane-strain problems,a displacement solution in semi-infinite elastic under horizontal strip load is derived.Furthermore,the horizontal foundation coefficient applied to the above matrix displacement method is gained.Compared with measured results of diaphragm wall obtained from engineering cases,the analysis results indicate that the matrix displacement method is convenient and feasible,and it can provide references to the similar projects.
引文
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51.XIAO Hong-bin,WANG Yong-he,WANG Xing-hua.Finite element of multi-brace retaining structure with consideration of the effect of staged excavation[J].Chinese Journal of Geotechnical Engineering,2004,26(1):47-51.
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[6]POULOUS H G,DAVIS E H.Elastic solution for soil rock mechanics[M].New York:John Wiley&Sons.Inc.,1974.
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[9]吴明.深基坑工程若干土力学问题研究[D].杭州:浙江大学,2009.
[10]杨光华.深基坑支护结构的实用计算方法及其应用[M].北京:地质出版社,2004.
[11]李维涛,应惠清,葛鹏.深基坑支护逆作法施工过程三维空间分析[J].建筑结构,2007,37(6):62-65.LI Wei-tao,YING Hui-qing,GE Peng.Space analysis of deep pit and top-down construction[J].Building Structure,2007,37(6):62-65.
[2]秦四清.深基坑工程优化设计[M].北京:地震出版社,1998.
[3]肖宏彬,王永和,王星华.多支撑挡土结构开挖过程的有限元分析方法[J].岩土工程学报,2004,26(1):47-
51.XIAO Hong-bin,WANG Yong-he,WANG Xing-hua.Finite element of multi-brace retaining structure with consideration of the effect of staged excavation[J].Chinese Journal of Geotechnical Engineering,2004,26(1):47-51.
[4]J.E.鲍尔斯.基础工程结构分析及程序[M].胡人礼等译.北京:中国铁道出版社,1982.
[5]约瑟夫.E.波勒斯.基础工程分析与设计[M].童小东等译.北京:中国建筑工业出版社,2004.
[6]POULOUS H G,DAVIS E H.Elastic solution for soil rock mechanics[M].New York:John Wiley&Sons.Inc.,1974.
[7]POULOS H G,DAVIS E H.Pile foundation analysis and design[M].New York:John Wiley and Sons.Inc.,1980.
[8]胡琦,凌道盛,陈云敏.基于Melan解的水平基床系数分析方法及工程运用[J].岩土力学,2009,30(1):33-39.HU Qi,LING Dao-sheng,CHEN Yun-min.Analytical method and engineering application of horizontal coefficients of subgrade reaction based on Melan's solution[J].Rock and Soil Mechanics,2009,30(1):33-39.
[9]吴明.深基坑工程若干土力学问题研究[D].杭州:浙江大学,2009.
[10]杨光华.深基坑支护结构的实用计算方法及其应用[M].北京:地质出版社,2004.
[11]李维涛,应惠清,葛鹏.深基坑支护逆作法施工过程三维空间分析[J].建筑结构,2007,37(6):62-65.LI Wei-tao,YING Hui-qing,GE Peng.Space analysis of deep pit and top-down construction[J].Building Structure,2007,37(6):62-65.
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