缺陷桩周围成层土振动响应解析解及其在旁孔透射波法中的应用
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摘要
通过建立缺陷桩–成层土耦合计算模型,考虑桩周土的三维轴对称振动,求解得到桩身竖向振动下周围土响应的频域解析解,并通过傅里叶逆变换得到其在时域内的半解析表达。在此基础上建立简化模型,并将解析解与有限元软件分析结果进行对比,证明了本文解的合理性。随后,分别考虑了缺陷桩–均质土、完整桩–成层土及缺陷桩–成层土各工况参数对桩周土振动响应的影响,并得到桩周土的波动规律,其可为旁孔透射波法的现场应用提供指导。此外,还针对该测试方法涉及的主要技术参数展开了进一步研究,明确了注意事项。
A defect pile-layered soil coupled model considering the three-dimensional symmetric vibration of surrounding soil was proposed. An analytical solution of dynamic responses of surrounding soil subjected to the vertical vibration of piles in frequency domain was deduced and,further,a semi-analytical expression in time domain was obtained by applying inverse Fourier transform. A simplified model was then proposed,and the validity of the presented solution was proved by compared with the result solved by FEA software. Parameters in three cases of defect pile-homogeneous soil,intact pile-layered soil and defect pile-layered soil were discussed to research their influence on dynamic responses of surrounding soil,and the response law of pile-surrounding soil was concluded. Furthermore,some parameters of the parallel seismic method were also studied as well to further clarify considerations. The results can guide the application of the parallel seismic method on site.
A defect pile-layered soil coupled model considering the three-dimensional symmetric vibration of surrounding soil was proposed. An analytical solution of dynamic responses of surrounding soil subjected to the vertical vibration of piles in frequency domain was deduced and,further,a semi-analytical expression in time domain was obtained by applying inverse Fourier transform. A simplified model was then proposed,and the validity of the presented solution was proved by compared with the result solved by FEA software. Parameters in three cases of defect pile-homogeneous soil,intact pile-layered soil and defect pile-layered soil were discussed to research their influence on dynamic responses of surrounding soil,and the response law of pile-surrounding soil was concluded. Furthermore,some parameters of the parallel seismic method were also studied as well to further clarify considerations. The results can guide the application of the parallel seismic method on site.
引文
[1]陈凡.基桩质量检测技术[M].北京:中国建筑工业出版社,2014:98-173.(CHEN Fan,Quality detection technology of base pile[M].Beijing:China Architecture and Building Press,2014:98-173.(in Chinese))
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[3]MILITANO G,RAJAPAKSE R.Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading[J].Geotechnique,1999,49(1):91-109.
[4]EL NAGGAR M H.Vertical and torsional soil reactions for radially inhomogeneous soil layer[J].Structural Engineering and Mechanics,2000,10(4):299-312.
[5]WANG K H,WU W B,ZHANG Z Q,et al.Vertical dynamic response of an inhomogeneous viscoelastic pile[J].Computers and Geotechnics,2010,37(4):536-544.
[6]WU W B,WANG K H,ZHANG Z Q,et al.Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil[J].International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(17):2 860-2 876.
[7]王奎华,谢康和,曾国熙.有限长桩受迫振动问题解析解及其应用[J].岩土工程学报,1997,19(6):27-35.(WANG Kuihua,XIE Kanghe,ZENG Guoxi.Analytical solution to vibration of finite length pile under exciting force and its application[J].Chinese Journal of Geotechnical Engineering,1997,19(6):27-35.(in Chinese))
[8]王奎华,谢康和.变截面阻抗桩受迫振动问题解析解及应用[J].土木工程学报,1998,31(6):56-67.(WANG Kuihua,XIE Kanghe.An analytical solution to force vibration of foundation pile under exciting force and its application[J].China Civil Engineering Journal,1998,31(6):56-67.(in Chinese))
[9]王奎华.变截面阻抗桩纵向振动问题积分变换解[J].力学学报,2001,33(4):479-491.(WANG Kuihua,A study on vertical vibration of pile with inhomogeneous cross section acoustic impedance with Laplace transform[J].Acta Mechanica Sinica,2001,33(4):479-491.(in Chinese))
[10]吴君涛,王奎华,高柳,等.考虑桩身材料阻尼的桩基纵向振动积分变换解及其应用[J].岩石力学与工程学报,2017,36(9):2 305-2 312.(WU Juntao,WANG Kuihua,GAO Liu,et al.Study on longitudinal vibration of a viscoelastic pile by integral transformation and its application[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(9):2 305-2 312.(in Chinese))
[11]吴文兵,王奎华,武登辉,等.考虑横向惯性效应时楔形桩纵向振动阻抗研究[J].岩石力学与工程学报,2011,30(增2):3 618-3 625.(WU Wenbing,WANG Kuihua,WU Denghui,et al.Study of dynamic longitudinal impedance of tapered pile considering inertial effect[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.2):3 618-3 625.(in Chinese))
[12]吕述晖,王奎华,吴文兵.考虑横向惯性效应时黏弹性支承桩纵向振动特性研究[J].振动工程学报,2016,(4):679-686.(LV Shuhui,WANG Kuihua,WU Wenbing.Longitudinal vibration of viscoelastic bearing piles considering transverse inertia effect[J].Journal of Vibration Engineering,2016,(4):679-686.(in Chinese))
[13]ZHENG C,KOURETZIS G P,DING X,et al.Three-dimensional effects in low-strain integrity testing of piles:analytical solution[J].Canadian Geotechnical Journal,2015,53(2):225-235.
[14]王奎华,杨冬英,张智卿.基于复刚度传递多圈层平面应变模型的桩动力响应研究[J].岩石力学与工程学报,2008,27(4):825-831.(WANG Kuihua,YANG Dongying,ZHANG Zhiqing.Study on dynamic response of pile based on complex stiffness transfer model of radial multi-zone plain strain[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(4):825-831.(in Chinese))
[15]吴君涛,王奎华,肖偲,等.静钻根植工法下变截面管桩纵向振动特性分析[J].岩石力学与工程学报,2018,37(4):1 030-1 040.(WU Juntao,WANG Kuihua,XIAO Si,et al.Longitudinal vibration characteristics of static drill rooted tubular piles with variable section[J].Chinese Journal of Rock Mechanics and Engineering,20182018,37(4):1 030-1 040.(in Chinese))
[16]阙仁波,王奎华.考虑土体三维波动效应时弹性支承桩的振动理论及其应用[J].计算力学学报,2005,22(6):658-664.(QUE Renbo,WANG Kuihua,Theory of vibration of pile on elastic foundation considering 3D wave effect of soil and its application[J].Chinese Journal of Computational Mechanics,2005,22(6):658-664.(in Chinese))
[17]王奎华,高柳,吴君涛,等.三维波动土中考虑桩身变截面与桩周土相互作用的大直径桩的动力特性[J].岩石力学与工程学报,2017,36(2):496-503.(WANG Kuihua,GAO Liu,WU Juntao,et al.Dynamic response of a large diameter pile considering the interaction of variable pile section with surrounding layered three-dimensional soil[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(2):496-503.(in Chinese))
[18]LIAO S T,TONG J H,CHEN C H,et al.Numerical simulation and experimental study of Parallel Seismic test for piles[J].International Journal of Solids and Structures,2006,43(7):2 279-2 298.
[19]黄大治,陈龙珠.旁孔透射波法检测水泥搅拌桩的三维有限元分析[J].上海交通大学学报,2007,41(6):960-964.(HUANG Dazhi,CHENLongzhu.3D finite element analysis of parallel seismic method for integrity of cemented soil columns[J].Journal of Shanghai Jiaotong University,2007,41(6):960-964.(in Chinese))
[20]陈龙珠,赵荣欣.旁孔透射波法确定桩底深度计算方法评价[J].地下空间与工程学报,2010,6(1):157-161.(CHEN Longzhu,ZHAORongxin.On determination of pile length with parallel seismic testing for existing structure[J].Chinses Journal of Underground Space and Engineering,2010,6(1):157-161.(in Chinese))
[21]杜烨,陈龙珠,马晔,等.旁孔透射波法确定桩底深度方法的有限元分析[J].防灾减灾工程学报,2012,32(6):731-736.(DU Ye,CHEN Longzhu,MA Ye,et al.Determination of pile length using parallel seismic testing with FEM simulation[J].Journal of Disaster Prevention and Mitigation Engineering,2012,32(6):731-736.(in Chinese))
[22]黄大治,陈龙珠.旁孔透射波法检测既有建筑物桩基的三维有限元分析[J].岩土力学,2008,29(6):1 569-1 574.(HUANG Dazhi,CHEN Longzhu.3D finite element analysis of parallel seismic tests for integrity of piles of existing structures[J].Rock and Soil Mechanics,2008,29(6):1 569-1 574.(in Chinese))
[23]张敬一,张理轻,陈龙珠,等.激振方式对旁孔透射波法检测既有工程桩的影响分析[J].防灾减灾工程学报,2015,35(2):180-185.(ZHANG Jingyi,ZHANG Liqing,CHEN Longzhu,et al.Effect of exciting mode on detection of existing pile with parallel seismic method[J].Journal of Disaster Prevention and Mitigation Engineering,2015,35(2):180-185.(in Chinese))
[24]吴君涛,王奎华,肖偲,等.弹性支承桩周围土振动响应解析解及其波动规律研究[J].岩石力学与工程学报,2018,37(10):2 384-2 393.(WU Juntao,WANG Kuihua,XIAO Si,et al.The analytical solution of soil around elastic bearing pile and its dynamic law studies[J].Chinese Journal of Rock Mechanics and Engineering,2018,37(10):2 384-2 393.(in Chinese))
[25]RANDOLPH M F.Dynamic and static soil models for axial pile response[C]//Proceedings of the 4th International Conference on Application of Stress-Wave Theory to Piles.The Hague,Netherlands:[s.n.],1992:3-14.
[26]胡昌斌.考虑土竖向波动效应的桩土纵向耦合振动理论[博士学位论文][D].杭州:浙江大学,2003.(HU Changbin.Study on soil-pile interaction in longitudinal vibration considering vertical wave effect of soil[Ph.D.Thesis][D].Hangzhou:Zhejiang University,2003.(in Chinese))
[27]费康,张建伟.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2010:250-280.(FEI Kang,ZHANG Jianwei,Application of ABAQUS in geotechnical engineering[M].Beijing:China Water Power Press,2010:250-280.(in Chinese))
[2]中华人民共和国行业标准编写组.2008 J G J建筑桩基技术规范[S].[S.l.]:[s.n.],2008.(The Professional Standards Compilation Group of People′s Republic of China.2008 J G J Technical code for building pile foundation[S].[S.l.]:[s.n.],2008.(in Chinese))
[3]MILITANO G,RAJAPAKSE R.Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading[J].Geotechnique,1999,49(1):91-109.
[4]EL NAGGAR M H.Vertical and torsional soil reactions for radially inhomogeneous soil layer[J].Structural Engineering and Mechanics,2000,10(4):299-312.
[5]WANG K H,WU W B,ZHANG Z Q,et al.Vertical dynamic response of an inhomogeneous viscoelastic pile[J].Computers and Geotechnics,2010,37(4):536-544.
[6]WU W B,WANG K H,ZHANG Z Q,et al.Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil[J].International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(17):2 860-2 876.
[7]王奎华,谢康和,曾国熙.有限长桩受迫振动问题解析解及其应用[J].岩土工程学报,1997,19(6):27-35.(WANG Kuihua,XIE Kanghe,ZENG Guoxi.Analytical solution to vibration of finite length pile under exciting force and its application[J].Chinese Journal of Geotechnical Engineering,1997,19(6):27-35.(in Chinese))
[8]王奎华,谢康和.变截面阻抗桩受迫振动问题解析解及应用[J].土木工程学报,1998,31(6):56-67.(WANG Kuihua,XIE Kanghe.An analytical solution to force vibration of foundation pile under exciting force and its application[J].China Civil Engineering Journal,1998,31(6):56-67.(in Chinese))
[9]王奎华.变截面阻抗桩纵向振动问题积分变换解[J].力学学报,2001,33(4):479-491.(WANG Kuihua,A study on vertical vibration of pile with inhomogeneous cross section acoustic impedance with Laplace transform[J].Acta Mechanica Sinica,2001,33(4):479-491.(in Chinese))
[10]吴君涛,王奎华,高柳,等.考虑桩身材料阻尼的桩基纵向振动积分变换解及其应用[J].岩石力学与工程学报,2017,36(9):2 305-2 312.(WU Juntao,WANG Kuihua,GAO Liu,et al.Study on longitudinal vibration of a viscoelastic pile by integral transformation and its application[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(9):2 305-2 312.(in Chinese))
[11]吴文兵,王奎华,武登辉,等.考虑横向惯性效应时楔形桩纵向振动阻抗研究[J].岩石力学与工程学报,2011,30(增2):3 618-3 625.(WU Wenbing,WANG Kuihua,WU Denghui,et al.Study of dynamic longitudinal impedance of tapered pile considering inertial effect[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.2):3 618-3 625.(in Chinese))
[12]吕述晖,王奎华,吴文兵.考虑横向惯性效应时黏弹性支承桩纵向振动特性研究[J].振动工程学报,2016,(4):679-686.(LV Shuhui,WANG Kuihua,WU Wenbing.Longitudinal vibration of viscoelastic bearing piles considering transverse inertia effect[J].Journal of Vibration Engineering,2016,(4):679-686.(in Chinese))
[13]ZHENG C,KOURETZIS G P,DING X,et al.Three-dimensional effects in low-strain integrity testing of piles:analytical solution[J].Canadian Geotechnical Journal,2015,53(2):225-235.
[14]王奎华,杨冬英,张智卿.基于复刚度传递多圈层平面应变模型的桩动力响应研究[J].岩石力学与工程学报,2008,27(4):825-831.(WANG Kuihua,YANG Dongying,ZHANG Zhiqing.Study on dynamic response of pile based on complex stiffness transfer model of radial multi-zone plain strain[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(4):825-831.(in Chinese))
[15]吴君涛,王奎华,肖偲,等.静钻根植工法下变截面管桩纵向振动特性分析[J].岩石力学与工程学报,2018,37(4):1 030-1 040.(WU Juntao,WANG Kuihua,XIAO Si,et al.Longitudinal vibration characteristics of static drill rooted tubular piles with variable section[J].Chinese Journal of Rock Mechanics and Engineering,20182018,37(4):1 030-1 040.(in Chinese))
[16]阙仁波,王奎华.考虑土体三维波动效应时弹性支承桩的振动理论及其应用[J].计算力学学报,2005,22(6):658-664.(QUE Renbo,WANG Kuihua,Theory of vibration of pile on elastic foundation considering 3D wave effect of soil and its application[J].Chinese Journal of Computational Mechanics,2005,22(6):658-664.(in Chinese))
[17]王奎华,高柳,吴君涛,等.三维波动土中考虑桩身变截面与桩周土相互作用的大直径桩的动力特性[J].岩石力学与工程学报,2017,36(2):496-503.(WANG Kuihua,GAO Liu,WU Juntao,et al.Dynamic response of a large diameter pile considering the interaction of variable pile section with surrounding layered three-dimensional soil[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(2):496-503.(in Chinese))
[18]LIAO S T,TONG J H,CHEN C H,et al.Numerical simulation and experimental study of Parallel Seismic test for piles[J].International Journal of Solids and Structures,2006,43(7):2 279-2 298.
[19]黄大治,陈龙珠.旁孔透射波法检测水泥搅拌桩的三维有限元分析[J].上海交通大学学报,2007,41(6):960-964.(HUANG Dazhi,CHENLongzhu.3D finite element analysis of parallel seismic method for integrity of cemented soil columns[J].Journal of Shanghai Jiaotong University,2007,41(6):960-964.(in Chinese))
[20]陈龙珠,赵荣欣.旁孔透射波法确定桩底深度计算方法评价[J].地下空间与工程学报,2010,6(1):157-161.(CHEN Longzhu,ZHAORongxin.On determination of pile length with parallel seismic testing for existing structure[J].Chinses Journal of Underground Space and Engineering,2010,6(1):157-161.(in Chinese))
[21]杜烨,陈龙珠,马晔,等.旁孔透射波法确定桩底深度方法的有限元分析[J].防灾减灾工程学报,2012,32(6):731-736.(DU Ye,CHEN Longzhu,MA Ye,et al.Determination of pile length using parallel seismic testing with FEM simulation[J].Journal of Disaster Prevention and Mitigation Engineering,2012,32(6):731-736.(in Chinese))
[22]黄大治,陈龙珠.旁孔透射波法检测既有建筑物桩基的三维有限元分析[J].岩土力学,2008,29(6):1 569-1 574.(HUANG Dazhi,CHEN Longzhu.3D finite element analysis of parallel seismic tests for integrity of piles of existing structures[J].Rock and Soil Mechanics,2008,29(6):1 569-1 574.(in Chinese))
[23]张敬一,张理轻,陈龙珠,等.激振方式对旁孔透射波法检测既有工程桩的影响分析[J].防灾减灾工程学报,2015,35(2):180-185.(ZHANG Jingyi,ZHANG Liqing,CHEN Longzhu,et al.Effect of exciting mode on detection of existing pile with parallel seismic method[J].Journal of Disaster Prevention and Mitigation Engineering,2015,35(2):180-185.(in Chinese))
[24]吴君涛,王奎华,肖偲,等.弹性支承桩周围土振动响应解析解及其波动规律研究[J].岩石力学与工程学报,2018,37(10):2 384-2 393.(WU Juntao,WANG Kuihua,XIAO Si,et al.The analytical solution of soil around elastic bearing pile and its dynamic law studies[J].Chinese Journal of Rock Mechanics and Engineering,2018,37(10):2 384-2 393.(in Chinese))
[25]RANDOLPH M F.Dynamic and static soil models for axial pile response[C]//Proceedings of the 4th International Conference on Application of Stress-Wave Theory to Piles.The Hague,Netherlands:[s.n.],1992:3-14.
[26]胡昌斌.考虑土竖向波动效应的桩土纵向耦合振动理论[博士学位论文][D].杭州:浙江大学,2003.(HU Changbin.Study on soil-pile interaction in longitudinal vibration considering vertical wave effect of soil[Ph.D.Thesis][D].Hangzhou:Zhejiang University,2003.(in Chinese))
[27]费康,张建伟.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2010:250-280.(FEI Kang,ZHANG Jianwei,Application of ABAQUS in geotechnical engineering[M].Beijing:China Water Power Press,2010:250-280.(in Chinese))
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