层状土中考虑剪切变形的单桩水平振动解析解
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摘要
针对桩基水平振动分析问题,建立了能够同时考虑桩体弯曲和剪切变形的桩土计算模型.采用与频率相关的刚度系数和阻尼系数来模拟土对桩的动反力,简化桩体为Timoshenko梁,得到了层状黏弹性地基中能同时考虑桩体弯曲和剪切变形的单桩的水平振动解析解.研究了桩土模量比、桩体长径比、地基成层性以及激振频率对桩基动力响应的影响.并且在给定桩土参数的情况下,把同时考虑桩体弯曲和剪切变形的解析解与只考虑弯曲变形的解进行了比较.结果表明,忽略桩体水平振动时的剪切变形可能会带来较大的误差.
To resolve the problem of piles lateral vibration in layered soil, a pilesoil model considering both the bending and shearing of pile was proposed. The frequencydependent stiffness coefficients and damping coefficients were utilized to simulate the soil reaction to the pile, and the pile was modelled as a Timoshenko beam, then a more rigorous analytical solution for the lateral vibration of a single pile was developed. On the basis of the developed solution, the effects of the modulus ratio of pile to soil, the ratio of pile length to diameter, the variation of soil properties and the excitation frequency on the dynamic response of pile were studied. Comparison was also made between the theory proposed here and that based on Euler beam model in layered soils. Results show that neglecting the shear deformation of the pile results in relatively more errors in analysis of the piles lateral vibration.
To resolve the problem of piles lateral vibration in layered soil, a pilesoil model considering both the bending and shearing of pile was proposed. The frequencydependent stiffness coefficients and damping coefficients were utilized to simulate the soil reaction to the pile, and the pile was modelled as a Timoshenko beam, then a more rigorous analytical solution for the lateral vibration of a single pile was developed. On the basis of the developed solution, the effects of the modulus ratio of pile to soil, the ratio of pile length to diameter, the variation of soil properties and the excitation frequency on the dynamic response of pile were studied. Comparison was also made between the theory proposed here and that based on Euler beam model in layered soils. Results show that neglecting the shear deformation of the pile results in relatively more errors in analysis of the piles lateral vibration.
引文
[1]NOVAKM,ABOUL ELLAF.Impedancesfunctions ofpilesinlayeredmedia[J].JournalofEngineering Mechanics,1978,104(3):643661.
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[3]MYLONAKISG,GAZETASG.Lateralvibrationand internalforcesofgroupedpilesinlayeredsoils[J].Journal ofGeotechnicalandGeoenvironmentalEngineering,1999,125(1):1625.
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[5]王立忠,柯瀚,陈云敏,等.地震荷载作用下水泥搅拌桩的动力响应[J].振动工程学报,1998,11(4):416423.WANGLi zhong,KEHan,CHENYun min,etal.SeismicresponseofacompositefoundationwithCDM piles[J].JournalofVibrationEngineering,1998,11(4):416423.
[6]胡安峰,谢康和,肖志荣.水平荷载下单桩动力反应分析[J].浙江大学学报:工学版,2003,37(4),420425.HUAn feng,XIEKang he,XIAOZhi rong.Dynamic responseanalysisforasinglepilesubjectedtolateral loading[J].JournalofZhejiangUniversity:Engineering Science,2003,37(4):420425.
[7]胡安峰,谢康和,应宏伟,等.黏弹性地基中考虑桩体剪切变形的单桩水平振动解析理论[J].岩石力学与工程学报,2004,23(9),15151520.HUAn feng,XIEKang he,YINGHong wei,etal.An analyticaltheoryoflateralvibrationforasinglepilein viscoelasticsubgradeconsideringsheardeformation[J].ChineseJournalofRockMechanicsandEngineering,2004,23(9):15151520.
[8]王光远.建筑结构的振动[M].北京:科学出版社,1978.
[2]NOVAKM,NOGAMIT.Soil pileinteractionin horizontalvibration[J].EarthquakeEngineeringand StructuralDynamics,1977,3:263281.
[3]MYLONAKISG,GAZETASG.Lateralvibrationand internalforcesofgroupedpilesinlayeredsoils[J].Journal ofGeotechnicalandGeoenvironmentalEngineering,1999,125(1):1625.
[4]MAKRISN,GAZETASG.Dynamicpile soil pile interaction,partII:Lateralandseismicresponse[J].EarthquakeEngineeringandStructuralDynamics,1992,21(1):145162.
[5]王立忠,柯瀚,陈云敏,等.地震荷载作用下水泥搅拌桩的动力响应[J].振动工程学报,1998,11(4):416423.WANGLi zhong,KEHan,CHENYun min,etal.SeismicresponseofacompositefoundationwithCDM piles[J].JournalofVibrationEngineering,1998,11(4):416423.
[6]胡安峰,谢康和,肖志荣.水平荷载下单桩动力反应分析[J].浙江大学学报:工学版,2003,37(4),420425.HUAn feng,XIEKang he,XIAOZhi rong.Dynamic responseanalysisforasinglepilesubjectedtolateral loading[J].JournalofZhejiangUniversity:Engineering Science,2003,37(4):420425.
[7]胡安峰,谢康和,应宏伟,等.黏弹性地基中考虑桩体剪切变形的单桩水平振动解析理论[J].岩石力学与工程学报,2004,23(9),15151520.HUAn feng,XIEKang he,YINGHong wei,etal.An analyticaltheoryoflateralvibrationforasinglepilein viscoelasticsubgradeconsideringsheardeformation[J].ChineseJournalofRockMechanicsandEngineering,2004,23(9):15151520.
[8]王光远.建筑结构的振动[M].北京:科学出版社,1978.
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