分层土中群桩水平动力阻抗的改进计算
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摘要
采用动力Winkler地基梁模型,建立了主动桩和被动桩的简化解析运动方程,考虑地基土的分层特性、桩身剪切变形和转动惯量,提出了计算分层地基中单桩和群桩动力阻抗的改进计算方法,并与已有文献的计算结果进行了对比,结果表明:改进方法的计算结果与现场实测更接近。在低频段,改进方法的计算结果与已有文献结果较一致,但随着桩身剪切模量的减小,两者差异增大。差异主要是由考虑桩身剪切变形和转动惯量引起的,且前者影响较大,在低频段差异亦十分明显,而后者影响较小,在群桩阻抗峰值区域和高频段差异明显,需考虑桩身转动惯量的影响。
Based on a dynamic Winkler model, a simplified calculation method of both active and passive piles in the case of multi-layered soils is presented. An advanced method is deduced to compute the lateral dynamic impedance of both single pile and pile groups in multi-layered soils, which takes pile shaft shear deformation and moment of inertia into account. Compared with the already results of experiment and computations, the presented results are more close to the tests. The text result is consistent with a correlative thesis in low frequency, but both difference increases when pile shaft shear modulus decreases. Pile shaft shear modulus and moment of inertia are the reasons to cause the differences. The former plays a greater effect even in low frequency. The latter has a little effect, but an evidence differences appear during the pile impedance in peak value and the frequency is high. Thus pile shaft moment of inertia should be taken into account in high frequency.
Based on a dynamic Winkler model, a simplified calculation method of both active and passive piles in the case of multi-layered soils is presented. An advanced method is deduced to compute the lateral dynamic impedance of both single pile and pile groups in multi-layered soils, which takes pile shaft shear deformation and moment of inertia into account. Compared with the already results of experiment and computations, the presented results are more close to the tests. The text result is consistent with a correlative thesis in low frequency, but both difference increases when pile shaft shear modulus decreases. Pile shaft shear modulus and moment of inertia are the reasons to cause the differences. The former plays a greater effect even in low frequency. The latter has a little effect, but an evidence differences appear during the pile impedance in peak value and the frequency is high. Thus pile shaft moment of inertia should be taken into account in high frequency.
引文
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[2]KAYNIA M,KAUSEL E.Dynamic stiffness and seismic response of pile groups[R].Cambridge:Massachusetts Institute of Technology,1982.
[3]DOBRY R,GAZETAS G.Simple method for dynamic stiffness and damping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[4]MAKRIS N,GAZETAS G.Dynamic pile-soil-pile interaction,PartⅡ:Lateral and seismic response[J].Earthquake Engineering and Structure Dynamics,1992,21(2):145-162.
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[6]蒯行成,沈蒲生.层状介质中群桩水平动力阻抗的简化计算方法[J].振动工程学报,1998,11(3):258-264.KUAI Xing-cheng,SHEN Pu-sheng.Simplified method for calculating horizontal dynamic impedances of pile groups in layered media[J].Journal of Vibration Engineering,1998,11(3):258-264.
[7]汤斌,陈晓平.群桩效应有限元分析[J].岩土力学,2005,26(2):299-302TANG Bin,CHEN Xiao-ping.Finite element analysis of effect of pile group[J].Rock and Soil Mechanics,2005,26(2):299-302.
[8]林皋,栾茂田,陈怀海.土-结构相互作用对高层建筑非线性地震反应的影响[J].土木工程学报,1993,26(4):1-13.LIN Gao,LUAN Mao-tian,CHEN Huai-hai.Soil-structure interaction effect on the nonlinear seismic response of high-rise buildings[J].China Civil Engineering Journal,1993,26(4):1-13.
[9]蒋东旗,郝玉龙,陈云敏.远场地震作用下桩间横向动力相互作用的研究[J].地震工程与工程振动,2004,21(5):36-40.JIANG Dong-qi,HAO Yu-long,CHEN Yun-min.Lateral dynamic pile-pile interaction induced by far-field earthquake[J].Earthquake Engineering and Engin-eering Vibration,2004,24(4):170-176.
[10]黄茂松,吴志明,任青.层状地基中群桩的水平振动特性[J].岩土工程学报,2007,29(1):32-38.HUANG Mao-song,WU Zhi-ming,REN Qing.Lateral vibration of pile groups in layered soil[J].Chinese Journal of Geotechnical Engineering,2007,29(1):32-38.
[11]吴志明,黄茂松,吕丽芳.桩-桩水平振动动力相互作用研究[J].岩土力学,2007,28(9):1848-1855.WU Zhi-ming,HUANG Mao-song,LüLi-fang.Research on pile-pile dynamic interaction of lateral vibration[J].Rock and Soil Mechanics,2007,28(9):1848-1855.
[12]DE JONG K A.An analysis of the behavior of genetic adaptive systems[D].Ann Arbor:University of Michigan,1975.
[13]韩英才,NOVAK M.水平荷载作用下群桩动力特性的研究[J].土木工程学报,1992,25(5):24-33.HAN-Ying-cai,NOVAK M.Dynamic response of pile groups under lateral loading[J].China Civil Engineering Journal,1992,25(5):24-33.
[2]KAYNIA M,KAUSEL E.Dynamic stiffness and seismic response of pile groups[R].Cambridge:Massachusetts Institute of Technology,1982.
[3]DOBRY R,GAZETAS G.Simple method for dynamic stiffness and damping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[4]MAKRIS N,GAZETAS G.Dynamic pile-soil-pile interaction,PartⅡ:Lateral and seismic response[J].Earthquake Engineering and Structure Dynamics,1992,21(2):145-162.
[5]GAZETAS G,FAN K,KAYNIA A.Dynamic response of pile groups with different configuration[J].Soil Dynamics and Earthquake Engrg.,1993,12:239-257.
[6]蒯行成,沈蒲生.层状介质中群桩水平动力阻抗的简化计算方法[J].振动工程学报,1998,11(3):258-264.KUAI Xing-cheng,SHEN Pu-sheng.Simplified method for calculating horizontal dynamic impedances of pile groups in layered media[J].Journal of Vibration Engineering,1998,11(3):258-264.
[7]汤斌,陈晓平.群桩效应有限元分析[J].岩土力学,2005,26(2):299-302TANG Bin,CHEN Xiao-ping.Finite element analysis of effect of pile group[J].Rock and Soil Mechanics,2005,26(2):299-302.
[8]林皋,栾茂田,陈怀海.土-结构相互作用对高层建筑非线性地震反应的影响[J].土木工程学报,1993,26(4):1-13.LIN Gao,LUAN Mao-tian,CHEN Huai-hai.Soil-structure interaction effect on the nonlinear seismic response of high-rise buildings[J].China Civil Engineering Journal,1993,26(4):1-13.
[9]蒋东旗,郝玉龙,陈云敏.远场地震作用下桩间横向动力相互作用的研究[J].地震工程与工程振动,2004,21(5):36-40.JIANG Dong-qi,HAO Yu-long,CHEN Yun-min.Lateral dynamic pile-pile interaction induced by far-field earthquake[J].Earthquake Engineering and Engin-eering Vibration,2004,24(4):170-176.
[10]黄茂松,吴志明,任青.层状地基中群桩的水平振动特性[J].岩土工程学报,2007,29(1):32-38.HUANG Mao-song,WU Zhi-ming,REN Qing.Lateral vibration of pile groups in layered soil[J].Chinese Journal of Geotechnical Engineering,2007,29(1):32-38.
[11]吴志明,黄茂松,吕丽芳.桩-桩水平振动动力相互作用研究[J].岩土力学,2007,28(9):1848-1855.WU Zhi-ming,HUANG Mao-song,LüLi-fang.Research on pile-pile dynamic interaction of lateral vibration[J].Rock and Soil Mechanics,2007,28(9):1848-1855.
[12]DE JONG K A.An analysis of the behavior of genetic adaptive systems[D].Ann Arbor:University of Michigan,1975.
[13]韩英才,NOVAK M.水平荷载作用下群桩动力特性的研究[J].土木工程学报,1992,25(5):24-33.HAN-Ying-cai,NOVAK M.Dynamic response of pile groups under lateral loading[J].China Civil Engineering Journal,1992,25(5):24-33.
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