Internal force calculation of double row anti-slide pile structure based on finite difference method
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摘要:
为研究有连梁双排抗滑桩快速有效的内力计算模型，在对有连梁双排桩进行受力分析的基础上，将有连梁双排抗滑桩结构简化为在桩顶连系梁零弯矩处断开的2根单桩结构，通过对双排桩受力进行叠加得到前后排桩桩顶连梁传递的弯矩与剪力，基于有限差分法建立了有连梁双排抗滑桩受荷段、嵌固段全桩内力计算模型，进而对有连梁双排抗滑桩桩体内力进行了计算。同时，通过大型室内模型试验内力实测结果对所计算结果进行了对比验证。结果表明：（1）模型试验结果与所建计算模型得到的桩顶位移与桩身弯矩值吻合较好，说明简化计算模型具有一定的适用性；（2）二者的后排桩最大弯矩出现位置略有偏差，计算得到的最大弯矩位置更接近实际桩体破坏位置，进一步验证了全桩内力计算模型的可靠性；（3）所建有限差分计算模型避免了将受荷段与嵌固段利用连续条件进行迭代的复杂运算过程，大大提升了计算效率，为实际工程提供了一种快速高效的有连梁双排桩内力计算方法。
Abstract:To develop an efficient internal force calculation model for double row anti-slide piles with connecting beams, the finite difference method was used to calculate the internal force of all piles at the load section and embedded end of double row piles. The structure of double row anti-slide pile with connecting beam was simplified to two single piles disconnected at the zero bending moment of the connecting beam at the pile top; the bending moments and shear forces at the top of the front and back piles were obtained by superposition of the forces on the double row piles. The structural model tests were carried out to check the effectiveness of the calculation model based on the finite difference method. The results show that the model test results are consistent with the data of pile top displacement and pile body bending moment obtained from the calculation model, indicating that the simplified calculation model is effective. There is a slight deviation between the positions where the maximum bending moment calculation is for the rear pile. The calculated maximum bending moment position is close to the real pile failure position, further proving the reliability of the entire pile internal force calculation model based on the finite difference method. The finite difference calculation model avoids the complex calculation process of iterating the loaded and embedded sections using continuous conditions, and provides a fast and efficient method for calculating the internal forces of double row piles with connecting beams in practical engineering.
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表 1 不同加载应力下的弯矩结果
Table 1. Bending moments under different loading conditions
荷载/kPa 前排桩最大弯矩 后排桩最大弯矩 数值/（N·m） 距滑面位置/cm 数值/（N·m） 距滑面位置/cm 12.6 计算值 362 13 844 14 试验值 290 8～18 798 18～33 20.9 计算值 466 13 1290 14 试验值 432 8～18 1223 18～33 29.3 计算值 1036 13 2184 14 试验值 905 8～18 1862 18～33 
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表 2 桩体断裂点位置的统计结果
Table 2. Statistics of locations of pile fracture points
双排抗滑桩 破坏位置范围/cm 位置均值/cm 前排桩 滑面以上 3.0～12.0 5.0 滑面以下 5.3～21.0 15.8 后排桩 滑面以上 8.0～19.0 12.3 滑面以下 5.0～11.3 6.6
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[1] 李阳,南亚林,贺海超,等. 黄土双排抗滑桩模型试验[J]. 安全与环境学报,2022,22(3):1315 − 1322. [LI Yang,NAN Yalin,HE Haichao,et al. Model test of double row anti slip piles on loess[J]. Journal of Safety and Environment,2022,22(3):1315 − 1322. (in Chinese with English abstract)]
LI Yang, NAN Yalin, HE Haichao, et al. Model test of double row anti slip piles on loess[J]. Journal of Safety and Environment, 2022, 22（3）: 1315 − 1322. （in Chinese with English abstract）
[2] 王飞,徐楚,黎伟. 基于MatDEM的黄泥扁滑坡支护效果分析[J]. 地质科技通报,2023,42(5):52 − 60. [WANG Fei,XU Chu,LI Wei. Supporting effect analysis of the Huangnibian landslide based on MatDEM[J]. Bulletin of Geological Science and Technology,2023,42(5):52 − 60. (in Chinese with English abstract)]
WANG Fei, XU Chu, LI Wei. Supporting effect analysis of the Huangnibian landslide based on MatDEM[J]. Bulletin of Geological Science and Technology, 2023, 42（5）: 52 − 60. （in Chinese with English abstract）
[3] 陈悦. 基于双参数法的双排桩基坑支护结构简化计算方法[D]. 西安:长安大学,2017. [CHEN Yue. Simplified calculation method of double row pile foundation pit retaining structure based on double parameter method[D]. Xi’an:Chang’an University,2017. (in Chinese with English abstract)]
CHEN Yue. Simplified calculation method of double row pile foundation pit retaining structure based on double parameter method[D]. Xi’an: Chang’an University, 2017. （in Chinese with English abstract）
[4] 章为民,顾行文,任国峰,等. 刚性抗滑桩的桩土相互作用机理与极限阻滑力研究[J]. 土木工程学报,2017,50(10):82 − 90. [ZHANG Weimin,GU Xingwen,REN Guofeng,et al. Study on the pile-soil interaction mechanism and ultimate sliding resistance of rigid anti slip piles[J]. Journal of Civil Engineering,2017,50(10):82 − 90. (in Chinese with English abstract)]
ZHANG Weimin, GU Xingwen, REN Guofeng, et al. Study on the pile-soil interaction mechanism and ultimate sliding resistance of rigid anti slip piles[J]. Journal of Civil Engineering, 2017, 50（10）: 82 − 90. （in Chinese with English abstract）
[5] 曹文贵,余林芳,张超,等. 考虑桩土差异沉降影响的桩网复合地基桩土应力比分析方法[J]. 水文地质工程地质,2017,44(4):41 − 49. [CAO Wengui,YU Linfang,ZHANG Chao,et al. Analysis method of pile-soil stress ratio of pile-mesh composite foundation considering the influence of differential settlement[J]. Hydrogeology Engineering & Geology,2017,44(4):41 − 49. (in Chinese with English abstract)]
CAO Wengui, YU Linfang, ZHANG Chao, et al. Analysis method of pile-soil stress ratio of pile-mesh composite foundation considering the influence of differential settlement[J]. Hydrogeology Engineering & Geology, 2017, 44（4）: 41 − 49. （in Chinese with English abstract）
[6] 陈国雄,谢上飞. 门式双排抗滑桩设计计算方法及工程应用研究[J]. 公路工程,2013,38(5):176 − 179. [CHEN Guoxiong,XIE Shangfei. Design calculation method and engineering application research of portal double row anti slip piles[J]. Highway Engineering,2013,38(5):176 − 179. (in Chinese with English abstract)]
CHEN Guoxiong, XIE Shangfei. Design calculation method and engineering application research of portal double row anti slip piles[J]. Highway Engineering, 2013, 38（5）: 176 − 179. （in Chinese with English abstract）
[7] 张玲,朱幸仁,欧强. 考虑桩桩相互作用的双排支护桩受力变形分析[J]. 水文地质工程地质,2019,46(5):72 − 80. [ZHANG Ling,ZHU Xingren,OU Qiang. Mechanical deformation analysis of double-row supporting piles considering pile interaction[J]. Hydrogeology & Engineering Geology,2019,46(5):72 − 80. (in Chinese with English abstract)]
ZHANG Ling, ZHU Xingren, OU Qiang. Mechanical deformation analysis of double-row supporting piles considering pile interaction[J]. Hydrogeology & Engineering Geology, 2019, 46（5）: 72 − 80. （in Chinese with English abstract）
[8] 罗晓娟,寇桓嘉,祝国强,等. 断层破碎带条件下组合式圆截面抗滑桩加固边坡效果研究[J]. 地质科技通报,2022,41(6):253 − 261. [LUO Xiaojuan, KOU Huanjia, ZHU Guoqiang, et al. Effect of combined anti-slide piles with circular section to reinforce the slope containing the fault crushed zone[J]. Bulletin of Geological Science and Technology,2022,41(6):253 − 261. (in Chinese with English abstract)]
LUO Xiaojuan, KOU Huanjia, ZHU Guoqiang, et al. Effect of combined anti-slide piles with circular section to reinforce the slope containing the fault crushed zone[J]. Bulletin of Geological Science and Technology, 2022, 41（6）: 253 − 261. （in Chinese with English abstract）
[9] 刘恋,孙飞飞. 排间距对双排小孔径抗滑桩的影响研究[J]. 地下空间与工程学报,2015,11(2):398 − 403. [LIU Lian,SUN Feifei. Research on the influence of row spacing on double row small aperture anti slip piles[J]. Journal of Underground Space and Engineering,2015,11(2):398 − 403. (in Chinese with English abstract)]
LIU Lian, SUN Feifei. Research on the influence of row spacing on double row small aperture anti slip piles[J]. Journal of Underground Space and Engineering, 2015, 11（2）: 398 − 403. （in Chinese with English abstract）
[10] 赵学亮,张景斐,黄钺,等. 嵌岩桩水平承载力计算方法的分析比较[J]. 江苏大学学报(自然科学版),2023,44(3):359 − 366. [ZHAO Xueliang,ZHANG Jingfei,HUANG Yue,et al. Analysis and comparison of calculation methods for horizontal bearing capacity of rock socketed piles[J]. Journal of Jiangsu University (Natural Science Edition),2023,44(3):359 − 366. (in Chinese with English abstract)] doi: 10.3969/j.issn.1671-7775.2023.03.016
ZHAO Xueliang, ZHANG Jingfei, HUANG Yue, et al. Analysis and comparison of calculation methods for horizontal bearing capacity of rock socketed piles[J]. Journal of Jiangsu University （Natural Science Edition）, 2023, 44（3）: 359 − 366. （in Chinese with English abstract） doi: 10.3969/j.issn.1671-7775.2023.03.016
[11] 胡晓军,谭晓惠. 弹性抗滑桩全桩内力计算的地基反力荷载法[J]. 岩土力学,2010,31(1):299 − 303. [HU Xiaojun,TAN Xiaohui. The foundation reaction load method for calculating the internal force of elastic anti slip piles[J]. Soil mechanics,2010,31(1):299 − 303. (in Chinese with English abstract)] doi: 10.3969/j.issn.1000-7598.2010.01.051
HU Xiaojun, TAN Xiaohui. The foundation reaction load method for calculating the internal force of elastic anti slip piles[J]. Soil mechanics, 2010, 31（1）: 299 − 303. （in Chinese with English abstract） doi: 10.3969/j.issn.1000-7598.2010.01.051
[12] 苏静波,邵国建,刘宁. 基于P-Y曲线法的水平受荷桩非线性有限元分析[J]. 岩土力学,2006(10):1781 − 1785. [SU Jingbo,SHAO Guojian,LIU Ning. Nonlinear finite element analysis of horizontally loaded piles based on P-Y curve method[J]. Rock Soil mechanics,2006(10):1781 − 1785. (in Chinese with English abstract)] doi: 10.3969/j.issn.1000-7598.2006.10.028
SU Jingbo, SHAO Guojian, LIU Ning. Nonlinear finite element analysis of horizontally loaded piles based on P-Y curve method[J]. Rock Soil mechanics, 2006（10）: 1781 − 1785. （in Chinese with English abstract） doi: 10.3969/j.issn.1000-7598.2006.10.028
[13] MATLOCK H,REESE L H. Generalized solutions for laterally loaded piles[J]. Geotechnical Special Publication,1960,127(118):1220 − 1248.
[14] FAN Qiuyan,XU Shengcai,CUI Feng. Calculation for a type of retaining structure with double-row piles[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(1):3152 − 3158.
[15] ZHU Qingke,MO Haihong. Calculation method for retaining structures with double-row piles with the stiffness of the top beam being considered[J]. International Journal of Advancements in Computing Technology,2012,4(12):343 − 350.
[16] 于洋,孙红月,尚岳全. 基于桩周土体位移的双排抗滑桩计算模型[J]. 岩石力学与工程学报,2014,33(1):172 − 178. [YU Yang,SUN Hongyue,SHANG Yuequan. A calculation model for double row anti slip piles based on soil displacement around the pile[J]. Journal of Rock mechanics and Engineering,2014,33(1):172 − 178. (in Chinese with English abstract)]
YU Yang, SUN Hongyue, SHANG Yuequan. A calculation model for double row anti slip piles based on soil displacement around the pile[J]. Journal of Rock mechanics and Engineering, 2014, 33（1）: 172 − 178. （in Chinese with English abstract）
[17] QI Zhigang,WANG Cuiying,WANG Jiayang. Study of calculation theory for retaining structure with prestressed double-row piles and its engineering application[J]. Rock and Soil Mechanics,2010,31(3):911 − 917.
[18] 周云涛,石胜伟,蔡强,等. 预应力锚索修复含微裂纹抗滑桩模型试验研究[J]. 水文地质工程地质,2019,46(4):104 − 111. [ZHOU Yuntao,SHI Shengwei,CAI Qiang,et al. Model test of prestressed anchor cable repairing anti-slide pile with micro-cracks[J]. Hydrogeology & Engineering Geology,2019,46(4):104 − 111. (in Chinese with English abstract)]
ZHOU Yuntao, SHI Shengwei, CAI Qiang, et al. Model test of prestressed anchor cable repairing anti-slide pile with micro-cracks[J]. Hydrogeology & Engineering Geology, 2019, 46（4）: 104 − 111. （in Chinese with English abstract）
[19] 王羽,赵波,王强,等. 基于有限差分法的h型抗滑桩结构计算模型[J]. 防灾减灾工程学报,2015,35(4):464 − 470. [WANG Yu,ZHAO Bo,WANG Qiang,et al. Calculation model of h-type anti slide pile structure based on finite difference method[J]. Journal of Disaster Prevention and Mitigation Engineering,2015,35(4):464 − 470. (in Chinese with English abstract)]
WANG Yu, ZHAO Bo, WANG Qiang, et al. Calculation model of h-type anti slide pile structure based on finite difference method[J]. Journal of Disaster Prevention and Mitigation Engineering, 2015, 35（4）: 464 − 470. （in Chinese with English abstract）
[20] 赵海鹏,黎学优,万建宏,等. 基于高性能有限单元法的多层地基水平受荷桩受力分析[J]. 岩土力学,2021,42(7):1995 − 2003. [ZHAO Haipeng,LI Xueyou,WAN Jianhong,et al. Mechanical analysis of horizontal loaded piles in multilayer foundations based on high performance finite element method[J]. Soil mechanics,2021,42(7):1995 − 2003. (in Chinese with English abstract)]
ZHAO Haipeng, LI Xueyou, WAN Jianhong, et al. Mechanical analysis of horizontal loaded piles in multilayer foundations based on high performance finite element method[J]. Soil mechanics, 2021, 42（7）: 1995 − 2003. （in Chinese with English abstract）
[21] 吴润泽,周海清,胡源,等. 基于有限差分原理的预应力锚索抗滑桩改进计算方法[J]. 岩土力学,2015,36(6):1791 − 1800. [WU Runze,ZHOU Haiqing,HU Yuan,et al. An improved calculation method of prestressed anchor anti slide pile based on the finite difference principle[J]. Rock Soil mechanics,2015,36(6):1791 − 1800. (in Chinese with English abstract )]
WU Runze, ZHOU Haiqing, HU Yuan, et al. An improved calculation method of prestressed anchor anti slide pile based on the finite difference principle[J]. Rock Soil mechanics, 2015, 36（6）: 1791 − 1800. （in Chinese with English abstract ）
[22] 张海洋,宋绪国,郭帅杰,等. 岩土成层条件下抗滑桩计算的改进有限差分法[J]. 铁道标准设计,68(6):31 − 36. [ZHANG Haiyang,SONG Xuguo,GUO Shuaijie,et al. The improved finite difference method for calculation of anti slide piles under the condition of rock soil stratification[J]. Railway Standard Design,68(6):31 − 36. (in Chinese with English abstract)]
ZHANG Haiyang, SONG Xuguo, GUO Shuaijie, et al. The improved finite difference method for calculation of anti slide piles under the condition of rock soil stratification[J]. Railway Standard Design, 68（6）: 31 − 36. （in Chinese with English abstract）
[23] 戴自航,王云凤,卢才金. 水平荷载单桩计算的综合刚度和双参数法杆系有限元数值解[J]. 岩石力学与工程学报,2016,35(10):2115 − 2123. [DAI Zihang,WANG Yunfeng,LU Caijin. Comprehensive stiffness and dual parameter method finite element numerical solution for horizontal load single pile calculation[J]. Journal of Rock mechanics and Engineering,2016,35(10):2115 − 2123. (in Chinese with English abstract)]
DAI Zihang, WANG Yunfeng, LU Caijin. Comprehensive stiffness and dual parameter method finite element numerical solution for horizontal load single pile calculation[J]. Journal of Rock mechanics and Engineering, 2016, 35（10）: 2115 − 2123. （in Chinese with English abstract）
[24] HUANG C,LIANG F. Boundary value problem for analysis of portal double-row stabilizing piles [J]. Journal of Applied Mathematics,2013,2013:485632.
[25] 宫凤梧,刘晨,郭文娟,等. 双排桩双梁组合支护刚度计算的改进与位移分析[J]. 水文地质工程地质,2022,49(1):109 − 116. [GONG Fengwu,LIU Chen,GUO Wenjuan,et al. Improvement of stiffness calculation and displacement analysis of double-row pile and double-beam combined support[J]. Hydrogeology & Engineering Geology,2022,49(1):109 − 116. (in Chinese with English abstract)]
GONG Fengwu, LIU Chen, GUO Wenjuan, et al. Improvement of stiffness calculation and displacement analysis of double-row pile and double-beam combined support[J]. Hydrogeology & Engineering Geology, 2022, 49（1）: 109 − 116. （in Chinese with English abstract）
[26] 戴自航,沈蒲生,彭振斌. 弹性抗滑桩内力计算新模式及其有限差分解法[J]. 土木工程学报,2003(4):99 − 104. [DAI Zihang,SHEN Pusheng,PENG Zhenbin. A new model for calculating the internal force of elastic anti slip piles and its finite difference method[J]. Journal of Civil Engineering,2003(4):99 − 104. (in Chinese with English abstract)] doi: 10.3321/j.issn:1000-131X.2003.04.017
DAI Zihang, SHEN Pusheng, PENG Zhenbin. A new model for calculating the internal force of elastic anti slip piles and its finite difference method[J]. Journal of Civil Engineering, 2003（4）: 99 − 104. （in Chinese with English abstract） doi: 10.3321/j.issn:1000-131X.2003.04.017
[27] 肖世国,何洪. 双排抗滑桩上滑坡推力近似解析方法[J]. 岩土力学,2015(2):376 − 380. [XIAO Shiguo,HE Hong. Approximate analytical method for landslide thrust on double row anti slip piles[J]. Soil mechanics,2015(2):376 − 380. (in Chinese with English abstract)]
XIAO Shiguo, HE Hong. Approximate analytical method for landslide thrust on double row anti slip piles[J]. Soil mechanics, 2015（2）: 376 − 380. （in Chinese with English abstract）
[28] 戴自航. 抗滑桩滑坡推力和桩前滑体抗力分布规律的研究[J]. 岩石力学与工程学报,2002,22(4):517 − 521. [DAI Zihang. Study on distribution law of landslide thrust and resistance of sliding mass in front of anti slide piles[J]. Journal of Rock mechanics and Engineering,2002,22(4):517 − 521. (in Chinese with English abstract)] doi: 10.3321/j.issn:1000-6915.2002.04.013
DAI Zihang. Study on distribution law of landslide thrust and resistance of sliding mass in front of anti slide piles[J]. Journal of Rock mechanics and Engineering, 2002, 22（4）: 517 − 521. （in Chinese with English abstract） doi: 10.3321/j.issn:1000-6915.2002.04.013
[29] 闫玉平,肖世国. 双排抗滑桩加固滑坡的前桩后侧推力算法[J]. 水文地质工程地质,2021,48(4):55 − 63. [YAN Yuping,XIAO Shiguo. Thrust algorithm of front pile and rear side of double row anti-slide pile for landslide reinforcement[J]. Hydrogeology & Engineering Geology,2021,48(4):55 − 63. (in Chinese with English abstract)]
YAN Yuping, XIAO Shiguo. Thrust algorithm of front pile and rear side of double row anti-slide pile for landslide reinforcement[J]. Hydrogeology & Engineering Geology, 2021, 48（4）: 55 − 63. （in Chinese with English abstract）
[30] 邓时容,肖世国. 嵌固段顶部拓宽型抗滑桩计算方法[J]. 中国地质灾害与防治学报,2022,33(4):84 − 91. [DENG Shirong,XIAO Shiguo. Calculation method for widened anti slip piles at the top of embedded sections[J]. Chinese Journal of Geological Hazards and Prevention,2022,33(4):84 − 91. (in Chinese with English abstract)]
DENG Shirong, XIAO Shiguo. Calculation method for widened anti slip piles at the top of embedded sections[J]. Chinese Journal of Geological Hazards and Prevention, 2022, 33（4）: 84 − 91. （in Chinese with English abstract）
[31] 王振刚. 抗滑桩桩身内力分析计算研究[D]. 西安:长安大学,2007. [WANG Zhengang. Analysis and calculation of internal force of anti slide pile[D]. Xi’an:Chang’an University,2007. (in Chinese with English abstract)]
WANG Zhengang. Analysis and calculation of internal force of anti slide pile[D]. Xi’an: Chang’an University, 2007. （in Chinese with English abstract）
[32] 曹岩. 平行布设双排抗滑桩受力特性试验研究[D]. 西安:长安大学,2019. [CAO Yan. Experimental study on the mechanical behavior of double-row anti-slide piles installed in Parallel[D]. Xi’an:Chang’an University,2019. (in Chinese with English abstract)]
CAO Yan. Experimental study on the mechanical behavior of double-row anti-slide piles installed in Parallel[D]. Xi’an: Chang’an University, 2019. （in Chinese with English abstract）
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