明置基础扭转振动复合集总参数模型试验与理论的对比
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摘要
根据基础振动弹性半空间理论的最新发展成果,推演出明置基础扭转振动复合集总参数模型。通过采用2种不同底面尺寸的块体模型基础,分别施加初速度使基础发生自由振动,将试验结果与采用明置基础扭转振动复合集总参数模型的计算结果进行比较。研究结果表明:试验结果与计算结果吻合;利用该模型可以容易地计算均质半空间上明置块体基础在扭转扰力作用下任意频率、任意形状(不包括环型)基础的动力响应。
A new torsional composite lumped parameter model(CLPM)of` surface foundation was established based on the theory of foundation oscillation on a elastic half-space.Free vibration of two different shaped base lumped foundations perturbed by the initial velocity was achieved respectively.Compared the results of experiment with the results of calculation performed with CLPM,they are closed agreement.The analysis results show that the advantage of CLPM is to compute dynamic response of arbitrarily shaped surface foundations torsionally oscillating on a homogeneous half-space readily.Moreover,all of oscillation frequencies and all foundation base shapes(excluding annular)are included in the analysis.
A new torsional composite lumped parameter model(CLPM)of` surface foundation was established based on the theory of foundation oscillation on a elastic half-space.Free vibration of two different shaped base lumped foundations perturbed by the initial velocity was achieved respectively.Compared the results of experiment with the results of calculation performed with CLPM,they are closed agreement.The analysis results show that the advantage of CLPM is to compute dynamic response of arbitrarily shaped surface foundations torsionally oscillating on a homogeneous half-space readily.Moreover,all of oscillation frequencies and all foundation base shapes(excluding annular)are included in the analysis.
引文
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[14]Baidya D K,Rathi.Dynamic response of footing on asand layer of thickness[J].Geotech Geoenviron.En-grg.,ASCE,2004,130(6):651-655.
[15]尚守平,刘志久,王贻荪,等.竖向振动复合集总参数模型试验与理论的对比[J].中南大学学报:自然科学版,2009,40(2):533-537.SHANG Shou-ping,LIU Zhi-jiu,XU Jian,et al.Thecomparison of experiment with theory of vertical compos-ite lumped parameter model[J].Journal of CentralSouth University:Science and Technology,2009,40(2):533-537.
[16]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.LIU Xi-jun,JIA Qi-fen,ZHANG Wen-de.Engineeringvibration and testing technology.[M].Tianjing:Tian-jing Univisity Press,1999.
[17]刘纯康.机器基础振动分析和现状[C]//中国工程建设标准化协会.第二届全国建筑振动学术会议论文集.北京:中国建筑工业出版社,1997:1-6.LIU Chun-kang.The existing situation and analysis ofmachine foundation vibration[C]//China Associationfor Engineering Construction Standardization.Proceed-ings of the Second Nationwide Conference on Architectur-al Vibration.Beijing:China Architecture and BuildingPress,1997:1-6.
[2]GB/T50269—97.地基动力特性测试规范[S].GB/T50269—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 surfaceand embedded foundations[J].J Geotech Engrg,ASCE,1991,117(9):1363-1381.
[7]Wolf,John P,Paronesso,Antonio.Lumped-parametermodel for foundation on layer.Proceedings of the Intera-tional Conference on Soil Mechanics and Foundation Engi-neering[C]//1991:287-290.A.A.Balkema,Rot-terdam,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-parametermodels impedance matrix of rigid rectangular foundationsof the half-space[J].Earthquake Engineering and Engi-neering 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.LIUZhi-jiu,SHANG Shou-ping,XU Jian,et al.Verti-cal composite lumped larameter model of arbitrarilyshaped embedded foundations[J].Journal of centralsouth university:Science and Technology,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,2007:II-340-II-346.LIU Zhi-jiu,LI Hui-jian,LI Zhen-zi.Rocking compos-ite lumped parameter model of arbitrarily shaped embed-ded foundations[C]//CUI Jing-hao Proceedings of theSixteenth National Conference on Structural Engineering.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.LIUZhi-jiu,SHANG Shou-ping,XUJian,et al.Slidingcomposite lumped parameter model of arbitrarily shapedfoundations[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.En-grg.,ASCE,2004,130(6):651-655.
[15]尚守平,刘志久,王贻荪,等.竖向振动复合集总参数模型试验与理论的对比[J].中南大学学报:自然科学版,2009,40(2):533-537.SHANG Shou-ping,LIU Zhi-jiu,XU Jian,et al.Thecomparison of experiment with theory of vertical compos-ite lumped parameter model[J].Journal of CentralSouth University:Science and Technology,2009,40(2):533-537.
[16]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.LIU Xi-jun,JIA Qi-fen,ZHANG Wen-de.Engineeringvibration and testing technology.[M].Tianjing:Tian-jing Univisity Press,1999.
[17]刘纯康.机器基础振动分析和现状[C]//中国工程建设标准化协会.第二届全国建筑振动学术会议论文集.北京:中国建筑工业出版社,1997:1-6.LIU Chun-kang.The existing situation and analysis ofmachine foundation vibration[C]//China Associationfor Engineering Construction Standardization.Proceed-ings of the Second Nationwide Conference on Architectur-al Vibration.Beijing:China Architecture and BuildingPress,1997:1-6.
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