三维非均质土中粘弹性桩-土纵向耦合振动响应
|
摘要
在考虑土体三维非均质性情况下,对变截面粘弹性桩的动力特性进行研究。首先,结合边界条件,利用复刚度传递平面应变土体模型求得纵向不同性质桩侧土层的复刚度,进而对各段变截面桩身从下往上逐段推导得到单桩桩顶受纵向激振力作用下的桩基振动的频域响应解析解;然后,利用卷积定理和Fourier逆变换得到桩顶的时域响应半解析解;最后,研究分析桩土参数对桩顶动力响应的影响,得到了桩顶频域和时域响应的规律性,为桩基础的抗震设计和桩的完整性检测工作提供新的理论依据。
Considering the three-dimensional inhomogeneity of soil surrounding the pile,the response of non-uniform viscoelastic pile under axial dynamic loading is studied.Firstly,combining the boundary condition,the complex stiffness of axial different soil layers are obtained by the complex stiffness transfer model of radial multi-zone plane strain.Then,the analytical solution of dynamic response at pile top in frequency domain is proposed by solving the dynamic equation of non-uniform viscoelastic pile section one by one from the bottom up to the top,and the relevant semi-analytical solution response in time domain is adopted by the convolution theorem and the Inverse Fourier Transform.At last,the effect of parameters of pile and soil are investigated to get the nature of the dynamic response of pile top in frequency domain and time domain.
Considering the three-dimensional inhomogeneity of soil surrounding the pile,the response of non-uniform viscoelastic pile under axial dynamic loading is studied.Firstly,combining the boundary condition,the complex stiffness of axial different soil layers are obtained by the complex stiffness transfer model of radial multi-zone plane strain.Then,the analytical solution of dynamic response at pile top in frequency domain is proposed by solving the dynamic equation of non-uniform viscoelastic pile section one by one from the bottom up to the top,and the relevant semi-analytical solution response in time domain is adopted by the convolution theorem and the Inverse Fourier Transform.At last,the effect of parameters of pile and soil are investigated to get the nature of the dynamic response of pile top in frequency domain and time domain.
引文
[1]MATLOCK H,FOO S H C,BRYANT L M.Simulation oflateral pile behavior[C]//Proceeding of earthquakeengineering and soil dynamics,ASCE.Pasadena,Calfornia:[s.n.],1978:600-619.
[2]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 KUI-HUA,XIE KANG-HE,ZENG GUO-XI.Analytical solution to vibration of finite length pile underexciting force and its application[J].Chinese Journal ofGeotechnical Engineering,1997,19(6):27-35.
[3]王奎华,谢康和,曾国熙.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 KUI-HUA,XIE KANG-HE,ZENG GUO-XI.An analytical solution to forced vibration of foundation pilewith variable section impedance and its application[J].China Civil Engineering Journal,1998,31(6):56-67.
[4]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 KUI-HUA.A study on vertical vibration of pilewith inhomogeneous cross section acoustic impedance withlaplace transform[J].Acta Mechanica Sinica,2001,33(4):479-491.
[5]NOVAK M.Dynamic stiffness and damping of piles[J].Canadian Geotechnical Journal,1974,11(4):574-598.
[6]NOVAK M.,ABOUL-ELLA F.Impedance Functionsof Piles in Layered Media[J].Journal of theEngineering Mechanical Division,ASCE,1978,104(EM3):643-661.
[7]NOVAK M.,NOGAMI T,ABOUL-ELLA F.Dynamic soil reaction for plane strain case[J].Journalof the Engineering Mechanical Division,ASCE,1978,104(EM4):953-959.
[8]胡昌斌,王奎华,谢康和.基于平面应变假定基桩振动理论适用性研究[J].岩土工程学报,2003,25(5):595-601.HU CHANG-BIN,WANG KUI-HUA,XIE KANG-HE.Study on theories of axial response of dynamicallyloaded single piles based on plane strain assumption[J].Chinese Journal of Geotechnical Engineering,2003,25(5):595-601.
[9]王奎华,阙仁波,夏建中.考虑土体真三维波动效应时桩的振动理论及对近似理论的校核[J].岩石力学与工程学报,2005,24(8):1 362-1 370.WANG KUI-HUA,QUE REN-BO,XIA JIAN-ZHONG.Theory of pile vibration considering truethree-dimensional wave effect of soil and its check onthe approximate theories[J].Chinese Journal of RockMechanics and Engineering,2005,24(8):1362-1370.
[10]李强,王奎华,谢康和.饱和土中端承桩纵向振动特性研究[J].力学学报,2004,36(4):435-442.LI QIANG,WANG KUI-HUA,XIE KANG-HE.Vertical vibration of an end bearing pile embedded insaturated soil[J].Acta Mechanica Sinica,2004,36(4):435-442.
[11]王奎华.成层广义Vogit地基中粘弹性桩纵向振动分析及应用[J].浙江大学学报:工学版,2002,36(5):565-572.WANG KUI-HUA.Vibration of inhomogeneousviscous-elastic pile embedded in layered soils withgeneral Voigt model[J].Journal of ZhejiangUniversity:Engineering Science,2002,36(5):565-572.
[12]王腾,王奎华,谢康和.成层土中桩的纵向振动理论研究及应用[J].土木工程学报,2002,35(1):83-87.WANG TENG,WANG KUI-HUA,XIE KANG-HE.Study on vibration properties of piles in layered soil[J].China Civil Engineering Journal,2002,35(1):83-87.
[13]胡昌斌,黄小明.成层粘弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.HU CHANG-BIN,HUANG XIAO-MING,A quasi-analytical solution to soil-pile interaction in longitudinalvibration in layered soils considering vertical wave effecton soils[J],Earthquake Engineering and EngineeringVibration,2006,26(4):205-211.
[14]HAN Y C.Dynamic vertical response of piles in nonlinearsoil[J].Journal of Geotechnical and GeoenvironmentalEngineering,ASCE,1997,123(8):710-716.
[15]NOGAMI T.,KONAGAI K.Dynamic response ofvertically loaded nonlinear pile foundations[J].J.Geotech.Engrg.,ASCE,1987,113(2):147-160.
[16]NOGAMI T.,HARN S C.Dynamic soil stiffnesses atside of embedded structures with rectangular base[J].J.Engrg.Mech.,ASCE,2003,129(8):963-973.
[17]El NAGGAR M H,NOVAK M.Nonlinear axialinteraction in pile dynamics[J].J.Geotech.Engrg.,ASCE,1994,120(4):678-696.
[18]El NAGGART M H,Vertical and torsional soilreactions for radially inhomogeneous soil layer[J].Structural Engineering and Mechanics,2000,10(4):299-312.
[19]周铁桥,王奎华,谢康和,等.轴对称径向非均质土中桩的纵向振动特性分析[J].岩土工程学报,2005,27(6):720-725.ZHOU TIE-QIAO,WANG KUI-HUA,XIE KANG-HE,et al.Vertical vibration analysis of piles in radialheterogeneous soil[J].Chinese Journal of GeotechnicalEngineering,2005,27(6):720-725.
[20]YANG DONG-YING,WANG KUI-HUA.Study onvertical vibration of pile in radial inhomogeneous soil[C]//Structural Condition Assessment,MonitoringAnd Improvement.Hunan,Changsha,2007:241-249.
[21]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 KUI-HUA,YANG DONG-YING,ZHANGZHI-QING.Study on dynamic response of pile based oncomplex stiffness transfer model of radial multizoneplane strain[J].Chinese Journal of Rock Mechanics andEngineering,2008,27(4):825-831.
[22]杨冬英,王奎华.任意圈层径向非均质土中桩的纵向振动特性研究[J].力学学报,2009,42(2):243-252.YANG DONG-YING,WANG KUI-HUA.Verticalvibration of pile embedded in radially inhomogeneoussoil layers[J].Chinese Journal of Theoretical andApplied Mechanics,2009,42(2):243-252.
[23]YANG DONG-YING,WANG KUI-HUA,ZHANG ZHI-QING,et al.Vertical dynamic response of pile in radialheterogeneous soil layer[J].International Journal forNumerical and Analytical Methods in Geomechanics,2009,33(8):1039-1054.
[24]杨冬英,王奎华.径向非均质土中平面应变模型的精度及适用性研究[J].土木工程学报,2009,42(7):98-105.YANG DONG-YING,WANG KUI-HUA.Study onprecision and applicability of plane-strain model inradially heterogeneous soil layers[J].China CivilEngineering Journal,2009,42(7):98-105.
[25]王奎华,杨冬英,张智卿,两种径向多圈层土体平面应变模型的对比.浙江大学学报:工学版,2009,43(10):1902-1908.WANG KUI-HUA,YANG DONG-YING,ZHANG ZHI-QING.Comparison on two kinds of radial multi-zone planestrain models[J].Journal of Zhejiang University:EngineeringScience,2009,43(10):1902-1908.
[2]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 KUI-HUA,XIE KANG-HE,ZENG GUO-XI.Analytical solution to vibration of finite length pile underexciting force and its application[J].Chinese Journal ofGeotechnical Engineering,1997,19(6):27-35.
[3]王奎华,谢康和,曾国熙.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 KUI-HUA,XIE KANG-HE,ZENG GUO-XI.An analytical solution to forced vibration of foundation pilewith variable section impedance and its application[J].China Civil Engineering Journal,1998,31(6):56-67.
[4]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 KUI-HUA.A study on vertical vibration of pilewith inhomogeneous cross section acoustic impedance withlaplace transform[J].Acta Mechanica Sinica,2001,33(4):479-491.
[5]NOVAK M.Dynamic stiffness and damping of piles[J].Canadian Geotechnical Journal,1974,11(4):574-598.
[6]NOVAK M.,ABOUL-ELLA F.Impedance Functionsof Piles in Layered Media[J].Journal of theEngineering Mechanical Division,ASCE,1978,104(EM3):643-661.
[7]NOVAK M.,NOGAMI T,ABOUL-ELLA F.Dynamic soil reaction for plane strain case[J].Journalof the Engineering Mechanical Division,ASCE,1978,104(EM4):953-959.
[8]胡昌斌,王奎华,谢康和.基于平面应变假定基桩振动理论适用性研究[J].岩土工程学报,2003,25(5):595-601.HU CHANG-BIN,WANG KUI-HUA,XIE KANG-HE.Study on theories of axial response of dynamicallyloaded single piles based on plane strain assumption[J].Chinese Journal of Geotechnical Engineering,2003,25(5):595-601.
[9]王奎华,阙仁波,夏建中.考虑土体真三维波动效应时桩的振动理论及对近似理论的校核[J].岩石力学与工程学报,2005,24(8):1 362-1 370.WANG KUI-HUA,QUE REN-BO,XIA JIAN-ZHONG.Theory of pile vibration considering truethree-dimensional wave effect of soil and its check onthe approximate theories[J].Chinese Journal of RockMechanics and Engineering,2005,24(8):1362-1370.
[10]李强,王奎华,谢康和.饱和土中端承桩纵向振动特性研究[J].力学学报,2004,36(4):435-442.LI QIANG,WANG KUI-HUA,XIE KANG-HE.Vertical vibration of an end bearing pile embedded insaturated soil[J].Acta Mechanica Sinica,2004,36(4):435-442.
[11]王奎华.成层广义Vogit地基中粘弹性桩纵向振动分析及应用[J].浙江大学学报:工学版,2002,36(5):565-572.WANG KUI-HUA.Vibration of inhomogeneousviscous-elastic pile embedded in layered soils withgeneral Voigt model[J].Journal of ZhejiangUniversity:Engineering Science,2002,36(5):565-572.
[12]王腾,王奎华,谢康和.成层土中桩的纵向振动理论研究及应用[J].土木工程学报,2002,35(1):83-87.WANG TENG,WANG KUI-HUA,XIE KANG-HE.Study on vibration properties of piles in layered soil[J].China Civil Engineering Journal,2002,35(1):83-87.
[13]胡昌斌,黄小明.成层粘弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.HU CHANG-BIN,HUANG XIAO-MING,A quasi-analytical solution to soil-pile interaction in longitudinalvibration in layered soils considering vertical wave effecton soils[J],Earthquake Engineering and EngineeringVibration,2006,26(4):205-211.
[14]HAN Y C.Dynamic vertical response of piles in nonlinearsoil[J].Journal of Geotechnical and GeoenvironmentalEngineering,ASCE,1997,123(8):710-716.
[15]NOGAMI T.,KONAGAI K.Dynamic response ofvertically loaded nonlinear pile foundations[J].J.Geotech.Engrg.,ASCE,1987,113(2):147-160.
[16]NOGAMI T.,HARN S C.Dynamic soil stiffnesses atside of embedded structures with rectangular base[J].J.Engrg.Mech.,ASCE,2003,129(8):963-973.
[17]El NAGGAR M H,NOVAK M.Nonlinear axialinteraction in pile dynamics[J].J.Geotech.Engrg.,ASCE,1994,120(4):678-696.
[18]El NAGGART M H,Vertical and torsional soilreactions for radially inhomogeneous soil layer[J].Structural Engineering and Mechanics,2000,10(4):299-312.
[19]周铁桥,王奎华,谢康和,等.轴对称径向非均质土中桩的纵向振动特性分析[J].岩土工程学报,2005,27(6):720-725.ZHOU TIE-QIAO,WANG KUI-HUA,XIE KANG-HE,et al.Vertical vibration analysis of piles in radialheterogeneous soil[J].Chinese Journal of GeotechnicalEngineering,2005,27(6):720-725.
[20]YANG DONG-YING,WANG KUI-HUA.Study onvertical vibration of pile in radial inhomogeneous soil[C]//Structural Condition Assessment,MonitoringAnd Improvement.Hunan,Changsha,2007:241-249.
[21]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 KUI-HUA,YANG DONG-YING,ZHANGZHI-QING.Study on dynamic response of pile based oncomplex stiffness transfer model of radial multizoneplane strain[J].Chinese Journal of Rock Mechanics andEngineering,2008,27(4):825-831.
[22]杨冬英,王奎华.任意圈层径向非均质土中桩的纵向振动特性研究[J].力学学报,2009,42(2):243-252.YANG DONG-YING,WANG KUI-HUA.Verticalvibration of pile embedded in radially inhomogeneoussoil layers[J].Chinese Journal of Theoretical andApplied Mechanics,2009,42(2):243-252.
[23]YANG DONG-YING,WANG KUI-HUA,ZHANG ZHI-QING,et al.Vertical dynamic response of pile in radialheterogeneous soil layer[J].International Journal forNumerical and Analytical Methods in Geomechanics,2009,33(8):1039-1054.
[24]杨冬英,王奎华.径向非均质土中平面应变模型的精度及适用性研究[J].土木工程学报,2009,42(7):98-105.YANG DONG-YING,WANG KUI-HUA.Study onprecision and applicability of plane-strain model inradially heterogeneous soil layers[J].China CivilEngineering Journal,2009,42(7):98-105.
[25]王奎华,杨冬英,张智卿,两种径向多圈层土体平面应变模型的对比.浙江大学学报:工学版,2009,43(10):1902-1908.WANG KUI-HUA,YANG DONG-YING,ZHANG ZHI-QING.Comparison on two kinds of radial multi-zone planestrain models[J].Journal of Zhejiang University:EngineeringScience,2009,43(10):1902-1908.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心