深基坑内撑式支护结构的有限差分算法研究

doi:10.13722/j.cnki.jrme.2015.0714

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Abstract To overcome the defects of the single parameter m method which the current specification recommended，put the composite stiffness principle and bi-parameter method that applied to piles subjected to laterally concentrated loads extended to calculate the deformation and internal force on internal braces retaining structure in deep excavation. Based on the principle and the method，the modified finite difference solution of beam on elastic foundation was presented. In addition，the incremental method was introduced to consider the dynamic construction process. The composite stiffness EI and bi-parameters m and n were obtained through the back analyses from the field measurement. The result showed that both the calculated horizontal displacement and bending moment by the method proposed in this paper were in good agreement with the measured data. In contrast，the result by the current single-parameter method was unsatisfactory. The parameters obtained through the back analyses can be applied to the uniform structures in the same foundation pit or similar retaining structures and engineering geological conditions in the same areas. Undoubtedly it can obtain more accurate results than the current single parameter method.

Key words： foundation pit engineering retaining structure and internal brace composite stiffness principle with bi-parameter method incremental method finite difference method

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	Articles by authors
	CHEN Linjing1
	SUN Yongjia1
	2
	WANG Zhigang1

Cite this article:

CHEN Linjing1,SUN Yongjia1,2, et al. Research of finite difference method on retaining structures with internal braces in deep excavation engineering[J]. , 2016, 35(S1): 3315-3322.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2015.0714 OR https://rockmech.whrsm.ac.cn/EN/Y2016/V35/IS1/3315

[1]	杨光华. 广东深基坑支护工程的发展及新挑战[J]. 岩石力学与工程学报，2012，31(11)：2276-2284.(YANG Guanghua. Development and new challenges of deep excavation supporting engineering in Guangdong province[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(11)：2276-2284.(in Chinese))
[2]	NG CWW，HONG Y，LIU GB，et al. Ground deformations and soil-structure interaction of a multi-proppedexcavation in Shanghai soft clays[J]. Geotechnique，2010，10：907-921.
[3]	GIL-MARTÍN L M，HERNÁNDEZ-MONTES E，SHIN M，et al. Developments in excavation bracing systems[J]. Tunnelling and Underground Space Technology，2012，31：107-116.
[4]	中华人民共和国行业标准编写组. JGJ 120—2012建筑基坑支护技术规程[S]. 北京：中国建筑工业出版社，2012.(The Professional Standards Compilation Group of People¢s Republic of China. JGJ 120—2012 Technical specifications for retaining and protection of building foundation excavation[S]. Beijing：China Architecture and Building Press，2012.(in Chinese))
[5]	刘建航，侯学渊. 基坑工程手册[M]. 北京：中国建筑工业出版社，2009：582-587.(LIUJianhang，HOUXueyuan. Excavation engineering handbook[M].Beijing：China Architecture and Building Press，2009：582-587.(in Chinese))
[6]	吴恒立. 计算推力桩的综合刚度原理和双参数法(2版)[M]. 北京：人民交通出版社，2000：22-64.(WUHengli. Calculation of laterally loaded pile by the composite stiffness principle with bi-parameter methods[M]. 2nd ed. Beijing：China Communication Press，2000：22-64.(in Chinese))
[7]	陈林靖，戴自航. 深基坑内撑式支护结构计算的综合刚度和双参数法[J]. 岩土力学，2010，31(3)：891-895.(CHEN Linjing，DAI Zihang. Composite stiffness and bi-parameter method for analyzing retaining structures of deep foundation pits with internal braces[J]. Rock and Soil Mechanics，2010，31(3)：891-895.(in Chinese))
[8]	陈林靖，戴自航. 基坑悬臂支护桩双参数弹性地基杆系有限元法[J]. 岩土力学，2007，28(2)：416-419.(CHEN Linjing，DAI Zihang. Link finite element method of bi-parameter elastic foundation for analyzing cantilever-retaining piles for foundation pits[J]. Rock and Soil Mechanics，2007，28(2)：416-419.(in Chinese))
[9]	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，2004：54-59.(YANG Guanghua. Practical calculation method of retaining structures for deep excavations and its application[M]. Beijing：Geological Publishing House，2004：54-59.(in Chinese))
[10]	戴自航，沈浦生，张建伟. 水平梯形分布荷载桩双参数法的数值解[J]. 岩石力学与工程学报，2004，23(15)：2632-2638.(DAI Zihang，SHEN Pusheng，ZHANG Jianwei. Numerical solution of piles under lateral load of trapezoid-distribution by bi-parameter method[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(15)：2632-2638.(in Chinese))
[11]	戴自航，苏美选，胡昌斌. 抛物线分布荷载推力桩双参数法的两种数值解[J]. 岩石力学与工程学报，2007，26(7)：1463-1469.(DAI Zihang，SU Meixuan，HU Changbin. Two numerical solutions of piles subjected to laterally parabolic distributed loads with bi-parameter method[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(7)：1463-1469.(in Chinese))
[12]	刘卫国. MATLAB程序设计与应用[M]. 北京：高等教育出版社，2008：56-189.(LIU Weiguo. The program designand application of MATLAB[M]. Beijing：Higher Education Press，2008：56-189.(in Chinese))
[13]	尉希成. 支挡结构设计手册[M]. 北京：中国建筑工业出版社，1995：189-197.(WEI Xicheng. Retaining structures design manual[M]. Beijing：China Architecture and Building Press，1995：189-197.(in Chinese))
[14]	龚晓南，宋二祥，郭红仙. 基坑工程实例1[M]. 北京：中国建筑工业出版社，2006：72-77.(GONGXiaonan，SONG Erxiang，GUO Hongxian. Examples of foundation pit engineering 1[M]. Beijing：China Architecture and Building Press，1995：72-77.(in Chinese))
[15]	徐中华，李靖，王卫东.基坑工程平面竖向弹性地基梁法中土的水平抗力比例系数反分析研究[J]. 岩土力学，2014，35(增2)：398-404+411.(XU Zhonghua，LI Jing，WANG Weidong. Back analysis of proportional coefficient of horizontal resistance in vertical elastic subgrade beam method for deep excavations[J]. Rock and Soil Mechanics，2014，35(Supp.2)：398-404+411.(in Chinese))
[1]	杨光华. 广东深基坑支护工程的发展及新挑战[J]. 岩石力学与工程学报，2012，31(11)：2276-2284.(YANG Guanghua. Development and new challenges of deep excavation supporting engineering in Guangdong province[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(11)：2276-2284.(in Chinese))
[2]	NG CWW，HONG Y，LIU GB，et al. Ground deformations and soil-structure interaction of a multi-proppedexcavation in Shanghai soft clays[J]. Geotechnique，2010，10：907-921.
[3]	GIL-MARTÍN L M，HERNÁNDEZ-MONTES E，SHIN M，et al. Developments in excavation bracing systems[J]. Tunnelling and Underground Space Technology，2012，31：107-116.
[4]	中华人民共和国行业标准编写组. JGJ 120—2012建筑基坑支护技术规程[S]. 北京：中国建筑工业出版社，2012.(The Professional Standards Compilation Group of People¢s Republic of China. JGJ 120—2012 Technical specifications for retaining and protection of building foundation excavation[S]. Beijing：China Architecture and Building Press，2012.(in Chinese))
[5]	刘建航，侯学渊. 基坑工程手册[M]. 北京：中国建筑工业出版社，2009：582-587.(LIUJianhang，HOUXueyuan. Excavation engineering handbook[M].Beijing：China Architecture and Building Press，2009：582-587.(in Chinese))
[6]	吴恒立. 计算推力桩的综合刚度原理和双参数法(2版)[M]. 北京：人民交通出版社，2000：22-64.(WUHengli. Calculation of laterally loaded pile by the composite stiffness principle with bi-parameter methods[M]. 2nd ed. Beijing：China Communication Press，2000：22-64.(in Chinese))
[7]	陈林靖，戴自航. 深基坑内撑式支护结构计算的综合刚度和双参数法[J]. 岩土力学，2010，31(3)：891-895.(CHEN Linjing，DAI Zihang. Composite stiffness and bi-parameter method for analyzing retaining structures of deep foundation pits with internal braces[J]. Rock and Soil Mechanics，2010，31(3)：891-895.(in Chinese))
[8]	陈林靖，戴自航. 基坑悬臂支护桩双参数弹性地基杆系有限元法[J]. 岩土力学，2007，28(2)：416-419.(CHEN Linjing，DAI Zihang. Link finite element method of bi-parameter elastic foundation for analyzing cantilever-retaining piles for foundation pits[J]. Rock and Soil Mechanics，2007，28(2)：416-419.(in Chinese))
[9]	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，2004：54-59.(YANG Guanghua. Practical calculation method of retaining structures for deep excavations and its application[M]. Beijing：Geological Publishing House，2004：54-59.(in Chinese))
[10]	戴自航，沈浦生，张建伟. 水平梯形分布荷载桩双参数法的数值解[J]. 岩石力学与工程学报，2004，23(15)：2632-2638.(DAI Zihang，SHEN Pusheng，ZHANG Jianwei. Numerical solution of piles under lateral load of trapezoid-distribution by bi-parameter method[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(15)：2632-2638.(in Chinese))
[11]	戴自航，苏美选，胡昌斌. 抛物线分布荷载推力桩双参数法的两种数值解[J]. 岩石力学与工程学报，2007，26(7)：1463-1469.(DAI Zihang，SU Meixuan，HU Changbin. Two numerical solutions of piles subjected to laterally parabolic distributed loads with bi-parameter method[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(7)：1463-1469.(in Chinese))
[12]	刘卫国. MATLAB程序设计与应用[M]. 北京：高等教育出版社，2008：56-189.(LIU Weiguo. The program designand application of MATLAB[M]. Beijing：Higher Education Press，2008：56-189.(in Chinese))
[13]	尉希成. 支挡结构设计手册[M]. 北京：中国建筑工业出版社，1995：189-197.(WEI Xicheng. Retaining structures design manual[M]. Beijing：China Architecture and Building Press，1995：189-197.(in Chinese))
[14]	龚晓南，宋二祥，郭红仙. 基坑工程实例1[M]. 北京：中国建筑工业出版社，2006：72-77.(GONGXiaonan，SONG Erxiang，GUO Hongxian. Examples of foundation pit engineering 1[M]. Beijing：China Architecture and Building Press，1995：72-77.(in Chinese))
[15]	徐中华，李靖，王卫东.基坑工程平面竖向弹性地基梁法中土的水平抗力比例系数反分析研究[J]. 岩土力学，2014，35(增2)：398-404+411.(XU Zhonghua，LI Jing，WANG Weidong. Back analysis of proportional coefficient of horizontal resistance in vertical elastic subgrade beam method for deep excavations[J]. Rock and Soil Mechanics，2014，35(Supp.2)：398-404+411.(in Chinese))