考虑桩土相互作用的变截面高墩自振频率计算分析
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摘要
针对变截面群桩基础高墩的几何特性,将桥墩与群桩基础简化为空间整体,在考虑桥墩变截面特性及桩土相互作用的基础上,提出群桩基础变截面桥墩分析模型;将分析模型分解成群桩基础的刚体变形与桥墩的弹性变形两个部分,分别基于能量法与有限单元法求解相应的自振频率,并采用Southwell频率合成法,将整体计算模型表示成两个部分的合成,从而导出变截面桥墩的自振频率,通过算例证明该方法的实用性,并分析了桥墩参数对自振频率的影响,获及了一些定性的结论。结果表明,变截面高墩自振频率的计算分析中,桩-土相互作用的影响不容忽视,考虑桩土相互作用和桥墩本身的非线性更符合工程实际。
Based on considering tapered pier behavior and the soil-pile interaction,bridge pier and group piles are simplified as global properties;and then an analysis model of tapered pier supported by group piles is presented;Secondly,analysis model is decomposed into two subsystems: elastic deformation of bridge pier and rigid deformation of group piles,the natural frequencies of which are solved by finite element method and energy method.Further,the global natural frequency of tapered pier is deduced by using the Southwell frequency composition method.Lastly,the comparison between calculated results and the real engineering examples shows that the method is reasonable;and the analysis results of the parameters of pier in natural frequency could be available for some reasonably conclusions.The results show that it is more practical in consideration of the pile-soil interaction and the geometry nonlinear of tapered pier.The influence of pile-soil interaction on natural frequency of tapered high pier could not be neglected in study.
Based on considering tapered pier behavior and the soil-pile interaction,bridge pier and group piles are simplified as global properties;and then an analysis model of tapered pier supported by group piles is presented;Secondly,analysis model is decomposed into two subsystems: elastic deformation of bridge pier and rigid deformation of group piles,the natural frequencies of which are solved by finite element method and energy method.Further,the global natural frequency of tapered pier is deduced by using the Southwell frequency composition method.Lastly,the comparison between calculated results and the real engineering examples shows that the method is reasonable;and the analysis results of the parameters of pier in natural frequency could be available for some reasonably conclusions.The results show that it is more practical in consideration of the pile-soil interaction and the geometry nonlinear of tapered pier.The influence of pile-soil interaction on natural frequency of tapered high pier could not be neglected in study.
引文
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[15]张荣山.工程振动和控制[M].北京:中国建筑工业出版社,2003.
[16]NALLIM L G,GROSSI R O.A general algorithm forthe study of dynamical behaviour of beams[J].AppliedAcoustics,1999(57):345-356
[17]周海林冷伍明.群桩基础桥墩的振特性计算[J].中国铁道科学,2001,22(3):51-56.ZHOU Hai-lin,LENG Wu-ming.Computation of dynamicbehavior of bridge pier supported by group pile[J].ChinaRailway Society Journal,2001,22(3):51-56
[2]王克海,李茜.高墩桥梁地震响应分析[J].世界桥梁,2006(1):29-32.WANG Ke-hai,LI Qian.Analysis of Seismic response ofbridges with high-rise piers[J].World Bridges,2006(1):29-32.
[3]胡少伟,苗同臣.结构振动理论及其应用[M].北京:中国建筑工业出版社,2005.HU Shao-wei,MIAO Tong-cheng.Construction VibrationTheory and Application[M].Beijing:China-BuildingPress,2005.
[4]陈兴冲.桥墩自振频率的能量公式[J].土木工程学报,1999,32(5):76-80.CHEN Xing-chong.Formulas of energy method for thenatural frequency of brigde piers[J].China CivilEngineering Journal,1999,32(5):76-80.
[5]KAYNIA A M,KAUSEL E.Dynamic stiffness and seismicresponse of pile groups[R].[S.I]:Massachusetts Instituteof Technology,1982.
[6]WOLF J P,VON Arx G A.Impedance function of a groupof vertical piles[J].Proc.of Specialty Conf.on SoilDynamics and Earthquake Engrg.,ASCE,1978(2):1024-1041.
[7]MAMOON S M,KAYNIA A M,BANERJEE P K.Frequ ency-domain dynamic analysis of piles and pile groups[J].J Geotech Engng,ASCE,1990,116(10):2273-2257.
[8]SEN R,DAVIS G,BANERJEE P K.Dynamic analysis ofpiles and pile groups embedded in homogeneous soils[J].J Earthquake Engng Struct Dyn,1985,13:53-65.
[9]冷伍明.铁路桥梁群桩基础桥墩自振频率计算分析和应用研究[J].铁道学报,1999,21(4):72-76.LENG Wu-ming.Study on natural frequence of bridgepier supported by group pile foundation[J].ChinaRailway Society Journal,1999,21(4):72-76.
[10]DOBRY R,GAZETAS.Simple method for dynamic stiffnessand damping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[11]MAKRIS N,GAZETAS G.Dynamic response of pilegroups with different configuration[J].Earthquake Engrg.Struct.Dyn.,1992,21(2):145-162.
[12]中华人民共和国交通部.JTJ 024-85公路桥涵地基与基础设计规范[S].北京:人民交通出版社,2002.
[13]GROSSI R O,ALBARRACIN C M.Some observationson the application of the Rayleigh-Ritz method[J].Applied Acoustics,2001(62):1 171-1 182.
[14]白青侠,宋一凡.高桥墩几何非线性分析的能量法[J]西安公路交通大学学报,2001,21(2):50-52.BAI Qing-xia;SONG Yi-fan.Energy method for thegeometric non-linear analysis of higher bridge piers[J]Journal of Xi'an Highway University,2001,21(2):50-52.
[15]张荣山.工程振动和控制[M].北京:中国建筑工业出版社,2003.
[16]NALLIM L G,GROSSI R O.A general algorithm forthe study of dynamical behaviour of beams[J].AppliedAcoustics,1999(57):345-356
[17]周海林冷伍明.群桩基础桥墩的振特性计算[J].中国铁道科学,2001,22(3):51-56.ZHOU Hai-lin,LENG Wu-ming.Computation of dynamicbehavior of bridge pier supported by group pile[J].ChinaRailway Society Journal,2001,22(3):51-56
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