基于Kelvin模型的桩基中波的传播分析
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摘要
将桩—土系统中波的传播理论由弹性范畴推广到粘弹性范畴。提出桩土系统桩、土间相互作用与剪切梯度变化率有关,其阻尼波动方程实际上就是Kelvin固体的运动微分方程,从而引入Stokes波动方程,并用子波函数法对波动方程进行了求解。
In this paper the theory of wave propagation in the pile-soil system is extended from the elastic category to the viscoelastic one.It suggests that the pile-soil interaction is related to shear gradient ratio and the equation of damping wave motion is in fact the differential equation of motion of the Kelvin solid.The Stokes wave motion equation is introduced and solved by using the method of wavelet function.
In this paper the theory of wave propagation in the pile-soil system is extended from the elastic category to the viscoelastic one.It suggests that the pile-soil interaction is related to shear gradient ratio and the equation of damping wave motion is in fact the differential equation of motion of the Kelvin solid.The Stokes wave motion equation is introduced and solved by using the method of wavelet function.
引文
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[9]高彦斌,费涵昌.振动理论在低应变测桩曲线分析中的应用[J].同济大学学报,2001,29(7):867-869.(GAO Yanbin,FEI Hanchang.Application of vibrationtheory in analysis on pile detection curve under lowstrain[J].Journal of Tongji University,2001,29(7):867-869.(in Chinese))
[10]徐攸在,刘家林,刘杰.用小应变动测法测定码头完整性的初步探讨[J].港工技术,2001,12(4):36-37.(XU Youzai,LIU Jialin,LIU Jie.Preliminary In-vestigation of Integrity Testing of Pier Piles by Low-strain Dynamic Method[J].Port Engineering Technolo-gy,2001,12(4):36-37.(in Chinese))
[2]徐攸在.桩的动测新技术[M].北京:中国建筑工业出版社.2002.35-66.(XU Youzai.New technique fordynamic detection of the piles[M].Beijing:China Ar-chitecture and Building Press,2002:35-66(in Chi-nese))
[3]雷林源著.桩基动力学[M].冶金工业出版社,2000:49-83.(LEI Linyuan.Dynamics of pile foundation[M].Metallurgy Industry Press,2000:49-83.(inChinese))
[4]周光泉,刘孝敏著.粘弹性理论[M].中国科学技术大学出版社,1996:102-105.(ZHOU Guangquan,LIU Xiaomin.Visco-elasticity theory[M].China Uni-vesity of S&TPress,1996:102-105.(in Chinese))
[5]N.H.瑞克著.粘弹性介质中的地震波[M].地质出版社,1981:52-103.(N.H.Ruike.Seismic wave in Vis-co-elastic media[M].Geology Press,1981:52-103.(in Chinese))
[6]柴华友.桩土相互作用对基桩定量分析的影响[J].岩土力学,1996,17(4):43.(CAI Huayou.Influenceof interaction of pile and soil on quantitative analysis offoundation pile[J].Rock and Soil Mechanics,1996,17(4):43.(in Chinese))
[7]张志涌.精通MATLAB6.5版[M].北京航空航天大学出版社,2003.(ZHANG Zhiyong.Mastering theMATLAB 6.5 ed[M].BUAA Press,2003.(in Chi-nese))
[8]王雪峰.基桩动测技术[M].北京:科学出版社,2001:8-57.(WANG Xuefeng.Dynamic detectiontechnique for foundation piles[M].Beijing:SciencePress,2001:8-57.(in Chinese))
[9]高彦斌,费涵昌.振动理论在低应变测桩曲线分析中的应用[J].同济大学学报,2001,29(7):867-869.(GAO Yanbin,FEI Hanchang.Application of vibrationtheory in analysis on pile detection curve under lowstrain[J].Journal of Tongji University,2001,29(7):867-869.(in Chinese))
[10]徐攸在,刘家林,刘杰.用小应变动测法测定码头完整性的初步探讨[J].港工技术,2001,12(4):36-37.(XU Youzai,LIU Jialin,LIU Jie.Preliminary In-vestigation of Integrity Testing of Pier Piles by Low-strain Dynamic Method[J].Port Engineering Technolo-gy,2001,12(4):36-37.(in Chinese))
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