非极限状态主动土压力的组合计算模型及工程应用
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摘要
为了拓展基坑工程中非极限状态土压力的计算模式,根据凸最优化理论提出一种组合计算模型;通过应用功的互等定理和构造拟合函数等手段,构建了线性与非线性变形工况下权重系数的统一计算公式;分别借助灰色预测模型、改进的桩身侧向位移法,给出时间维度与空间维度下非极限位移的计算依据,推导出非极限位移的时空耦合计算方程.实例验证表明,非极限位移和非极限状态土压力公式的计算精度均满足工程要求.将预设报警值与极限位移的比值作为基坑稳定性的判据,采用现场监测与数据反演相结合的方式制定出基坑报警值设定流程图,对保障现场施工安全具有指导意义.
In order to extend the calculation modes of earth pressure under non-limit state in foundation pit engineering,a combinatorial calculation model was put forward according to the convex optimization theory.The uniform formula of weight coefficient was built under linear and nonlinear deformation conditions by applying the reciprocal theorem of work and building fitting functions.The calculation basis of non-limit displacement was given in time dimension and space dimension in virtue of grey prediction model and lateral displacement method of pile body,and the space-time coupling calculation equation of non-limit displacement was deduced.The result of example verification show that the formulas' calculation precision meets the engineering requirements for the non-limit displacement and earth pressure under non-limit state.The ratio of preset alarm value to limit displacement value was taken as the criterion of foundation pit stability,and the flow chart about setting alarm value of foundation pit was established by the combination of on-site monitoring and data inversion,which is of guiding significance in ensuring construction site safety.
In order to extend the calculation modes of earth pressure under non-limit state in foundation pit engineering,a combinatorial calculation model was put forward according to the convex optimization theory.The uniform formula of weight coefficient was built under linear and nonlinear deformation conditions by applying the reciprocal theorem of work and building fitting functions.The calculation basis of non-limit displacement was given in time dimension and space dimension in virtue of grey prediction model and lateral displacement method of pile body,and the space-time coupling calculation equation of non-limit displacement was deduced.The result of example verification show that the formulas' calculation precision meets the engineering requirements for the non-limit displacement and earth pressure under non-limit state.The ratio of preset alarm value to limit displacement value was taken as the criterion of foundation pit stability,and the flow chart about setting alarm value of foundation pit was established by the combination of on-site monitoring and data inversion,which is of guiding significance in ensuring construction site safety.
引文
[1] Sherif M A,Ishibashi I,Lee C D.Earth pressure against rigid retaining walls[J].Journal of Geotechnical Engineering,1982,108(5):679-695
[2] Benmebarek N,Labdi H,Benmebarek S.A numerical study of the active earth pressure on a rigid retaining wall for various modes of movements[J].Soil Mechanics and Foundation Engineering,2016,53(1):39-45
[3] 王仕传,孙本杰,邵艳.改进的主动土压力计算方法[J].岩土力学,2015,36(5):1375-1379 Wang Shichuan,Sun Benjie,Shao Yan.Modified computational method for active earth pressure[J].Rock and Soil Mechanics,2015,36(5):1375-1379
[4] 梅国雄,宰金珉.考虑位移影响的土压力近似计算方法[J].岩土力学,2001,22(4):83-85 Mei Guoxiong,Zai Jinmin.Approximate calculation method of earth pressure considering displacement influence[J].Rock and Soil Mechanics,2001,22(4):83-85
[5] 卢坤林,杨扬.考虑位移影响的主动土压力近似计算方法[J].岩土力学,2009,30(2):553-557 Lu Kunlin,Yang Yang.Approximate calculation method of active earth pressure considering displacement influence[J].Rock and Soil Mechanics,2009,30(2):553-557
[6] 张永兴,陈林.挡土墙非极限状态主动土压力分布[J].土木工程学报,2011,44(4):112-119 Zhang Yongxing,Chen Lin.Active earth pressure distribution in non-limit state of retaining wall[J].China Civil Engineering Journal,2011,44(4):112-119
[7] 胡俊强,张永兴,陈林,等.非极限状态挡土墙主动土压力研究[J].岩土工程学报,2013,35(2):381-387 Hu Junqiang,Zhang Yongxing,Chen Lin,et al.Study on active earth pressure on retaining wall in non-limit state[J].Chinese Journal of Geotechnical Engineering,2013,35(2):381-387
[8] Chen Lin.Active earth pressure of retaining wall considering wall movement[J].European Journal of Environmental and Civil Engineering,2014,18(8):910-926
[9] Amin Keshavarz,Mohsen Ebrahimi.The Effects of the soil-wall adhesion and friction angle on the active lateral earth pressure of circular retaining walls[J].International Journal of Civil Engineering,2016,14(2):97-105
[10] 徐日庆,廖斌,吴渐,等.黏性土的非极限主动土压力计算方法研究[J].岩土力学,2013,34(1):148-154 Xu Riqing,Liao Bin,Wu Jian,et al.Computational method for active earth pressure of cohesive soil under non-limit state[J].Rock and Soil Mechanics,2013,34(1):148-154
[11] 曹海莹,武崇福.深基坑桩锚支护体系非极限主动土压力演化特征与计算模式[J].应用基础与工程科学学报,2016,24(4):765-776 Cao Haiying,Wu Chongfu.Evolution characteristics and calculation model of non-limit active earth pressure on pile anchor support structure of deep foundation pit[J].Journal of Basic Science and Engineering Science,2016,24(4):765-776
[12] 中华人民共和国住房和城乡建设部.建筑基坑支护技术规程:JGJ 120-2012[S].北京:中国建筑工业出版社,2012 P.R.China.Ministry of Housing and Urban-Rural Development.Technical specification for retaining and protection of building foundation excavations:JGJ 120-2012[S].Beijing:China Building Industry Press,2012
[13] 付宝连.功的互等理论及其应用[M].北京:国防工业出版社,2007 Fu Baolian.The mutual equivalence theory and its application[M].Beijing:National Defense Industry Press,2007
[14] 陈捷,周同和.桩锚支护土压力计算模型探讨与工程实测分析[J].建筑科学,2015,31(9):108-114 Chen Jie,Zhou Tonghe.Theoretical study and field monitoring analysis on lateral soil pressure acting on pile-anchor excavation retaining structure[J].Building Science,2015,31(9):108-114
[15] 朱彦鹏,李元勋.混合法在深基坑排桩锚杆支护计算中的应用研究[J].岩土力学,2013,34(5):1416-1420 Zhu Yanpeng,Li Yuanxun.Application of mixing method to calculation of row pile anchor support in deep excavation[J].Rock and Soil Mechanics,2013,34(5):1416-1420
[16] 应宏伟,朱伟,郑贝贝,等.柔性挡墙的主动土压力计算及分布研究[J].岩土工程学报,2014,36(增2):1-6 Ying Hongwei,Zhu Wei,Zheng Beibei,et al.Calculation and distribution of active earth pressure against flexible retaining walls[J].Chinese Journal of Geotechnical Engineering,2014,36(S2):1-6
[17] 徐日庆.考虑位移和时间的土压力计算方法[J].浙江大学学报(工学版),2000,34(4):370-375 Xu Riqing.Methods of earth pressure calculation for excavation[J].Journal of Zhejiang University(Engineering Science),2000,34(4):370-375
[18] Fang Y S,Cheng F P,Chen R C,et al.Earth pressures under general wall movements[J].Journal of Geotechnical Engineering,1993,24(2):113-131
[19] 王强,刘松玉,童立元,等.灰色理论在深基坑支挡结构变形预测中的应用[J].岩土工程学报,2010,32(增2):69-72 Wang Qiang,Liu Songyu,Tong Liyuan,et al.Application of gray theory in deformation prediction of deep foundation pit supporting structure[J].Chinese Journal of Geotechnical Engineering,2010,32(S2):69-72
[20] 许锡昌,葛修润.基于最小势能原理的桩锚支护结构空间变形分析[J].岩土力学,2006,27(5):705-710 Xu Xichang,Ge Xiurun.Spatial deformation analysis of pile-anchor supporting structure based on the principle of minimal potential energy[J].Rock and Soil Mechanics,2006,27(5):705-710
[21] 潘旭亮,张钦喜,杜修力,等.桩锚支护结构内力和变形试验分析[J].岩土工程学报,2012,34(增1):277-281 Pan Xuliang,Zhang Qinxi,Du Xiuli,et al.Experimental analysis on internal forces and deformation of pile anchor supporting structure[J].Chinese Journal of Geotechnical Engineering,2012,34(S1):277-281
[22] 邓子胜,邹银生,王贻荪.考虑位移非线性影响的挡土墙土压力计算模型研究[J].中国公路学报,2004,17(2):24-27 Deng Zisheng,Zou Yinsheng,Wang Yisun.Study of calculation model of the earth pressure for retaining wall considering the nonlinear influence of the displacement[J].China Journal of Highway and Transport,2004,17(2):24-27
[23] 龚晓南.基坑工程实例[M].4版.北京:中国建筑工业出版社,2012 Gong Xiaonan.Examples of foundation pit engineering[M].4th Edition.Beijing:China Building Industry Press,2012
[24] 岳祖润,彭胤宗,张师德.压实黏性填土挡土墙土压力离心模型试验[J].岩土工程学报,1992,14(6):90-96 Yue Zurun,Peng Yinzong,Zhang Shide.Centrifugal model test of earth pressure on compacted clay retaining wall[J].Chinese Journal of Geotechnical Engineering,1992,14(6):90-96
[25] 卢国胜.考虑位移的土压力计算方法[J].岩土力学,2004,25(4):586-589 Lu Guosheng.Earth pressure calculation method considering displacement[J].Rock and Soil Mechanics,2004,25(4):586-589
[2] Benmebarek N,Labdi H,Benmebarek S.A numerical study of the active earth pressure on a rigid retaining wall for various modes of movements[J].Soil Mechanics and Foundation Engineering,2016,53(1):39-45
[3] 王仕传,孙本杰,邵艳.改进的主动土压力计算方法[J].岩土力学,2015,36(5):1375-1379 Wang Shichuan,Sun Benjie,Shao Yan.Modified computational method for active earth pressure[J].Rock and Soil Mechanics,2015,36(5):1375-1379
[4] 梅国雄,宰金珉.考虑位移影响的土压力近似计算方法[J].岩土力学,2001,22(4):83-85 Mei Guoxiong,Zai Jinmin.Approximate calculation method of earth pressure considering displacement influence[J].Rock and Soil Mechanics,2001,22(4):83-85
[5] 卢坤林,杨扬.考虑位移影响的主动土压力近似计算方法[J].岩土力学,2009,30(2):553-557 Lu Kunlin,Yang Yang.Approximate calculation method of active earth pressure considering displacement influence[J].Rock and Soil Mechanics,2009,30(2):553-557
[6] 张永兴,陈林.挡土墙非极限状态主动土压力分布[J].土木工程学报,2011,44(4):112-119 Zhang Yongxing,Chen Lin.Active earth pressure distribution in non-limit state of retaining wall[J].China Civil Engineering Journal,2011,44(4):112-119
[7] 胡俊强,张永兴,陈林,等.非极限状态挡土墙主动土压力研究[J].岩土工程学报,2013,35(2):381-387 Hu Junqiang,Zhang Yongxing,Chen Lin,et al.Study on active earth pressure on retaining wall in non-limit state[J].Chinese Journal of Geotechnical Engineering,2013,35(2):381-387
[8] Chen Lin.Active earth pressure of retaining wall considering wall movement[J].European Journal of Environmental and Civil Engineering,2014,18(8):910-926
[9] Amin Keshavarz,Mohsen Ebrahimi.The Effects of the soil-wall adhesion and friction angle on the active lateral earth pressure of circular retaining walls[J].International Journal of Civil Engineering,2016,14(2):97-105
[10] 徐日庆,廖斌,吴渐,等.黏性土的非极限主动土压力计算方法研究[J].岩土力学,2013,34(1):148-154 Xu Riqing,Liao Bin,Wu Jian,et al.Computational method for active earth pressure of cohesive soil under non-limit state[J].Rock and Soil Mechanics,2013,34(1):148-154
[11] 曹海莹,武崇福.深基坑桩锚支护体系非极限主动土压力演化特征与计算模式[J].应用基础与工程科学学报,2016,24(4):765-776 Cao Haiying,Wu Chongfu.Evolution characteristics and calculation model of non-limit active earth pressure on pile anchor support structure of deep foundation pit[J].Journal of Basic Science and Engineering Science,2016,24(4):765-776
[12] 中华人民共和国住房和城乡建设部.建筑基坑支护技术规程:JGJ 120-2012[S].北京:中国建筑工业出版社,2012 P.R.China.Ministry of Housing and Urban-Rural Development.Technical specification for retaining and protection of building foundation excavations:JGJ 120-2012[S].Beijing:China Building Industry Press,2012
[13] 付宝连.功的互等理论及其应用[M].北京:国防工业出版社,2007 Fu Baolian.The mutual equivalence theory and its application[M].Beijing:National Defense Industry Press,2007
[14] 陈捷,周同和.桩锚支护土压力计算模型探讨与工程实测分析[J].建筑科学,2015,31(9):108-114 Chen Jie,Zhou Tonghe.Theoretical study and field monitoring analysis on lateral soil pressure acting on pile-anchor excavation retaining structure[J].Building Science,2015,31(9):108-114
[15] 朱彦鹏,李元勋.混合法在深基坑排桩锚杆支护计算中的应用研究[J].岩土力学,2013,34(5):1416-1420 Zhu Yanpeng,Li Yuanxun.Application of mixing method to calculation of row pile anchor support in deep excavation[J].Rock and Soil Mechanics,2013,34(5):1416-1420
[16] 应宏伟,朱伟,郑贝贝,等.柔性挡墙的主动土压力计算及分布研究[J].岩土工程学报,2014,36(增2):1-6 Ying Hongwei,Zhu Wei,Zheng Beibei,et al.Calculation and distribution of active earth pressure against flexible retaining walls[J].Chinese Journal of Geotechnical Engineering,2014,36(S2):1-6
[17] 徐日庆.考虑位移和时间的土压力计算方法[J].浙江大学学报(工学版),2000,34(4):370-375 Xu Riqing.Methods of earth pressure calculation for excavation[J].Journal of Zhejiang University(Engineering Science),2000,34(4):370-375
[18] Fang Y S,Cheng F P,Chen R C,et al.Earth pressures under general wall movements[J].Journal of Geotechnical Engineering,1993,24(2):113-131
[19] 王强,刘松玉,童立元,等.灰色理论在深基坑支挡结构变形预测中的应用[J].岩土工程学报,2010,32(增2):69-72 Wang Qiang,Liu Songyu,Tong Liyuan,et al.Application of gray theory in deformation prediction of deep foundation pit supporting structure[J].Chinese Journal of Geotechnical Engineering,2010,32(S2):69-72
[20] 许锡昌,葛修润.基于最小势能原理的桩锚支护结构空间变形分析[J].岩土力学,2006,27(5):705-710 Xu Xichang,Ge Xiurun.Spatial deformation analysis of pile-anchor supporting structure based on the principle of minimal potential energy[J].Rock and Soil Mechanics,2006,27(5):705-710
[21] 潘旭亮,张钦喜,杜修力,等.桩锚支护结构内力和变形试验分析[J].岩土工程学报,2012,34(增1):277-281 Pan Xuliang,Zhang Qinxi,Du Xiuli,et al.Experimental analysis on internal forces and deformation of pile anchor supporting structure[J].Chinese Journal of Geotechnical Engineering,2012,34(S1):277-281
[22] 邓子胜,邹银生,王贻荪.考虑位移非线性影响的挡土墙土压力计算模型研究[J].中国公路学报,2004,17(2):24-27 Deng Zisheng,Zou Yinsheng,Wang Yisun.Study of calculation model of the earth pressure for retaining wall considering the nonlinear influence of the displacement[J].China Journal of Highway and Transport,2004,17(2):24-27
[23] 龚晓南.基坑工程实例[M].4版.北京:中国建筑工业出版社,2012 Gong Xiaonan.Examples of foundation pit engineering[M].4th Edition.Beijing:China Building Industry Press,2012
[24] 岳祖润,彭胤宗,张师德.压实黏性填土挡土墙土压力离心模型试验[J].岩土工程学报,1992,14(6):90-96 Yue Zurun,Peng Yinzong,Zhang Shide.Centrifugal model test of earth pressure on compacted clay retaining wall[J].Chinese Journal of Geotechnical Engineering,1992,14(6):90-96
[25] 卢国胜.考虑位移的土压力计算方法[J].岩土力学,2004,25(4):586-589 Lu Guosheng.Earth pressure calculation method considering displacement[J].Rock and Soil Mechanics,2004,25(4):586-589
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