任意形状明置基础扭转振动复合集总参数模型
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摘要
根据基础振动弹性半空间理论的最新成果,推导出一个计算明置基础扭转振动的复合集总参数模型。采用该模型对复杂形状的明置块体基础在扭转谐和扰力作用下的动力响应进行计算,并将振幅计算结果与采用由弹性半空间理论所得到的基础扭转振动刚度和阻尼公式(由大量试验、数值计算所证实)的振幅计算结果进行比较,结果表明:两者结果非常吻合,误差仅为3.13%。利用该模型可以容易地计算在扭转扰力作用下任意频率、任意泊松比和任意形状(不包括环型)的均质半空间上块体明置基础的动力响应。
A new torsional composite lumped parameter model(CLPM)was established based on the theory of surface foundation oscillation on a elastic half-space.With the new model(CLPM),torsionally dynamic responses of a complicatedly-shaped surface foundation was calculated and in good agreement with the results obtained by the formulas(supported by results of comprehensive experimental and numerical analysis),which have been developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficient of foundations harmonically torsional oscillating on a homogeneous half-space,the amplitude difference is only 3.13%.The new model can be used to easily determine the dynamic responses of arbitrarily shaped surface lumped foundations(except annular shape)with all range of oscillation frequencies and all range of Poisson's ratios on homogeneous half-space under the torsional perturbation load.
A new torsional composite lumped parameter model(CLPM)was established based on the theory of surface foundation oscillation on a elastic half-space.With the new model(CLPM),torsionally dynamic responses of a complicatedly-shaped surface foundation was calculated and in good agreement with the results obtained by the formulas(supported by results of comprehensive experimental and numerical analysis),which have been developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficient of foundations harmonically torsional oscillating on a homogeneous half-space,the amplitude difference is only 3.13%.The new model can be used to easily determine the dynamic responses of arbitrarily shaped surface lumped foundations(except annular shape)with all range of oscillation frequencies and all range of Poisson's ratios on homogeneous half-space under the torsional perturbation load.
引文
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[14]Baidya D K,Rathi.Dynamic response of footing on asand layer of thickness[J].Geotech Geoenviron Engrg,ASCE,2004,130(6):651-655.
[15]刘习军,贾启芬,张文德.工程振动与测试技术[M].天津:天津大学出版社,1999.LIUXi-jun,JIAQi-fen,ZHANG Wen-de.Engineer-ing vibration and testing technology[M].Tianjing:Tian-jing Univisity Press,1999.
[2]GB/T50269-97,地基动力特性测试规范[S].GB/T50296-97,Code for measurement method of dy-namic properties of subsoil[S].
[3]王锡康.动力机器基础振动学科在我国的发展及需研究的若干问题[J].工业建筑,2007,37(6):83-90.WANG Xi-kang.Development of discipline for vibrationof machinery foundation in china and some problems beingstudied[J].Industrial Construction,2007,37(6):83-90.
[4]徐建.动力机器基础设计理论研究发展建议[C]//叶燎原.第三届全国建筑振动学术会议论文集.昆明:云南科技出版社,2000:1-5.XUJian.The development suggestions of machine founda-tion design theory[C]//YE Liao-yuan.Proceedings ofthe Third Nationwide Conference on Architectural Vibra-tion.Kunming:Yunnan Scientific and Technical Publish-ers,2000:1-5.
[5]严人觉,王贻荪,韩清宇.动力基础半空间理论概论[M].北京:中国建筑工业出版社,1981.YAN Ren-jue,WANG Yi-sun,HAN Qing-yu.Half-space theory introduction of dynamic foundation[M].Bei-jing:China Architecture and Building Press,1981.
[6]Gazetas.Formulas and charts for impedances of embeddedand embedded foundations[J].J Geotech Engrg,ASCE,1991,117(9):1363-1381.
[7]Wolf,John P Paronesso,Antonio.Lumped-parametermodel for foundation on layer[C]//Proceedings of the In-terational Conference on Soil Mechanics and FoundationEngineering.1991:287-290.A.A.Balkema,Rotter-dam,Neth.
[8]侯兴民,廖振鹏.表面矩形基础抗函数的集中参数模型[J].地震工程与工程振动,1999,19(4):6-12.HOU Xing-min,LIAO Zhen-peng.Lumped-parame-ter models impedance matrix of rigid rectangular founda-tions of the half-space[J].Earthquake Engineering andEngineering Vibration,1999,19(4):6-12.
[9]陈炯.动力基础的竖向振动分析[J].土木工程学报,2002,35(4):70-76.CHEN Jiong.The vertical vibration of dynamically loadedfoundation[J].China Civil Engineering Journal,2002,35(4):70-76.
[10]蒋东旗,谢定义.动力机器基础设计的数值方法研究[J].土木工程学报,2002,35(1):74-78.JIANG Dong-qi,XIE Ding-yi.Numerical simulationmethod for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74-78.
[11]刘志久,尚守平,徐建,等.任意形状埋置基础的竖向复合集总参数模型[J].中南大学学报:自然科学版,2007,38(1):170-174.LIU Zhi-jiu,SHANG Shou-ping,XU Jian,et al.Vertical composite lumped larameter model of arbitrarilyshaped embedded foundations[J].Journal of CentralSouth University:Natural Science Edition,2007,38(1):170-174.
[12]刘志久,李慧剑,黎振兹.任意形状埋置基础摇摆振动复合集总参数模型[C]//崔京浩.第16届全国结构工程学术会议论文集.北京:《工程力学》杂志社,2007:II-340-II-346.LIU Zhi-jiu,LI Hui-jian,LI Zhen-zi.Rockingcomposite lumped parameter model of arbitrarily shapedembedded foundations[C]//CUI Jing-hao.Proceed-ings of the Sixteenth National Conference on StructuralEngineering.Beijing,2007,II-340-II-346.
[13]刘志久,尚守平,徐建,等.任意形状基础滑移振动复合集总参数模型[J].工程力学,2007,24(12):72-75.LIU Zhi-jiu,SHANG Shou-ping,XU Jian,et al.Sliding composite lumped parameter model of arbitrarilyshaped foundations[J].Engineering Mechanics,2007,24(12):72-85.
[14]Baidya D K,Rathi.Dynamic response of footing on asand layer of thickness[J].Geotech Geoenviron Engrg,ASCE,2004,130(6):651-655.
[15]刘习军,贾启芬,张文德.工程振动与测试技术[M].天津:天津大学出版社,1999.LIUXi-jun,JIAQi-fen,ZHANG Wen-de.Engineer-ing vibration and testing technology[M].Tianjing:Tian-jing Univisity Press,1999.
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