埋置基础扭转振动的实用化计算
|
摘要
根据弹性半空间理论及基础振动试验和数值计算的最新成果,采用方程对等法推演出埋置块体基础扭转振动的实用化计算公式。采用该实用化计算公式和弹性半空间理论分别对复杂形状的埋置块体基础在谐和扰力矩作用下的扭转振动动力响应进行计算,并将计算结果进行了比较,两者结果吻合,振幅误差为9.13%。该实用化计算公式具有概念明确,计算简单的优点,对于任意形状、任意埋置状况的动力设备块体基础都实用,对于结构工程的地震响应计算具有参考意义。
The practical calculation formulas for torsional vibration of lumped embedded foundations are derived on the basis of the theory of elastic half-space and the state-of-the-art results of comprehensive experimental and numerical calculation by using equation equivalence method.The torsional dynamic responses of a complicatedly shaped embedded lumped foundation are calculated by using the formulas,and compared with the results of calculation performed with the theory of elastic half-space and agreement is found between this formulas and the theory of elastic half-space for torsional vibration,and the difference of amplitude is only 9.13%.The advantages of the formulas are clear concept and simple calculation.It is practical for power equipment lumped foundation with arbitrary shape and arbitrarily embedded lumped foundations.It is referential to the calculation of the seismic responses of structural engineerings.
The practical calculation formulas for torsional vibration of lumped embedded foundations are derived on the basis of the theory of elastic half-space and the state-of-the-art results of comprehensive experimental and numerical calculation by using equation equivalence method.The torsional dynamic responses of a complicatedly shaped embedded lumped foundation are calculated by using the formulas,and compared with the results of calculation performed with the theory of elastic half-space and agreement is found between this formulas and the theory of elastic half-space for torsional vibration,and the difference of amplitude is only 9.13%.The advantages of the formulas are clear concept and simple calculation.It is practical for power equipment lumped foundation with arbitrary shape and arbitrarily embedded lumped foundations.It is referential to the calculation of the seismic responses of structural engineerings.
引文
[1]蔡钟业,王明洋,吴少武,等.动力机器基础的地基动力参数测试[J].岩石力学与工程学报,1996,15(supp):594-598.CAI Zhongye,WANG Mingyang,WU Shaowu,et al.Measurement of dynamic foundation paramenters for dynamical machine[J].Chinese Journal ofRock Mechanics and Engineering,1996,15(Supp):594-598.(in Chinese)
[2]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 Xikang.Development of discipline for vibration of machinery foundation in china and some problems being studied[J].Industrial Construc-tion,2007,37(6):83-90.(in Chinese)
[3]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 Chunkang.The existing situation and analysis of machine foundation vibration[C]//China Association for Engineering Construction Standard-ization.Proceedings of the Second Nationwide Conference on Architectural Vibration.Beijing:China Architecture and Building Press.1997.1-6.(in Chinese)
[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.XU Jian.The development suggestions of machine foundation design theory[C]//YE Liaoyuan.Proceedings of the Third Nationwide Conference onArchitectural Vibration.Kunming:Yunnan Scientific and Technical Publishers,2000.1-5.(in Chinese)
[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,1981:171-173.YAN Renjue,WANG Yisun,HAN Qingyu.Half-space theory introduction of dynamic foundation[M].Beijing:China Architecture and BuildingPress,1981.(in Chinese)
[6]Gazetas.Formulas and charts for impedances of surface and embedded foundations[J].Journal of the Geotechnical Engineering,ASCE,1991,117(9):1363-1381.
[7]Celebi E Firat S Cankaya I.The effectiveness of wave barrieers on the dynamic stiffness coefficients of foundations using boundary element method[J].Applied Mathematics and Computation(New York),2006,180(2):683-699.
[8]Celebi Erkan Firat Seyha,Cankaya Llyas.Dynamic impedance functions for rectangular rigid foundations[J].Teknik Dergi/Technical Journal ofTurkish Chamber of Civil Engineers,2006,17(2):3827-3849.
[9]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 Dongqi,XIE Dingyi.Numerical simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74-78.(in Chinese)
[10]蒋东旗,项民生,谢定义.数值方法在动力机器基础设计中[J].工业建筑,2001,31(6):46-48.JIANG Dongqi,XIANG Mingsheng,XIE Dingyi.Application of numerical simulation method to dynamic machinery foundation design[J].Indus-trial Construction,2001,31(6):46-48.(in Chinese)
[11]王幼青,张克绪,朱腾明.动力基础与地基体系分析[J].哈尔滨建筑大学学报,1999,32(3):43-47.WANG Youqing,ZHANG Kexu,ZHU Tengming.Dynamic machine soil-foundation system analysis[J].Journal of Ha:bin University of C.E.&Architecture,1999,32(3):43-47.(in Chinese)
[12]燕彬,黄义,王成林.任意刚性基础竖向动阻抗的简化计算方法[J].世界地震工程,2005,21(1):91-96.YAN Bin,HUANG Yi,WANG Chengling.Simplified method for dynamic vertical impedance of rigid foundations with arbitrary shapes[J].World Earthquake Engineering,2005,21(1):91-96.(in Chinese)
[13]侯兴民,廖振鹏,丁海平.基础动力刚度的精确数值解及集中参数模型[J].地震工程与工程振动,2001,21(4):24-28.HOU Xingmin,LIAO Zhenpeng,DING Haiping.Exact numerical solution of foundation dynamic stiffness and its lumped parameter model[J].Journal of Earthquake Engineering and Engineering Vibration,2001,21(4):24-28.(in Chinese)
[14]GB 50040-96动力机器基础设计规范[S].GB 50040-96 Cod for Design of Dynamic Machine Foundation[S].(in Chinese)
[15]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,2007,38(1):170-174.LIU Zhijiu,SHANG Shouping,XU Jian.Vertical composite lumped larameter model of arbitrarily shaped embedded foundations[J].Journal ofCentral South University,2007,38(1):170-174.(in Chinese)
[16]刘志久,尚守平,徐建,等.任意形状埋置基础滑移振动复合集总参数模型[J].工程力学,2010,27(12):174-178.LIU Zhijiu,SHANG Shouping,XU Jian.Sliding composite lumped parameter model of arbitrarily shaped foundations[J].Engineering Mechan-ics,2010,27(12):174-178.(in Chinese)
[2]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 Xikang.Development of discipline for vibration of machinery foundation in china and some problems being studied[J].Industrial Construc-tion,2007,37(6):83-90.(in Chinese)
[3]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 Chunkang.The existing situation and analysis of machine foundation vibration[C]//China Association for Engineering Construction Standard-ization.Proceedings of the Second Nationwide Conference on Architectural Vibration.Beijing:China Architecture and Building Press.1997.1-6.(in Chinese)
[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.XU Jian.The development suggestions of machine foundation design theory[C]//YE Liaoyuan.Proceedings of the Third Nationwide Conference onArchitectural Vibration.Kunming:Yunnan Scientific and Technical Publishers,2000.1-5.(in Chinese)
[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,1981:171-173.YAN Renjue,WANG Yisun,HAN Qingyu.Half-space theory introduction of dynamic foundation[M].Beijing:China Architecture and BuildingPress,1981.(in Chinese)
[6]Gazetas.Formulas and charts for impedances of surface and embedded foundations[J].Journal of the Geotechnical Engineering,ASCE,1991,117(9):1363-1381.
[7]Celebi E Firat S Cankaya I.The effectiveness of wave barrieers on the dynamic stiffness coefficients of foundations using boundary element method[J].Applied Mathematics and Computation(New York),2006,180(2):683-699.
[8]Celebi Erkan Firat Seyha,Cankaya Llyas.Dynamic impedance functions for rectangular rigid foundations[J].Teknik Dergi/Technical Journal ofTurkish Chamber of Civil Engineers,2006,17(2):3827-3849.
[9]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 Dongqi,XIE Dingyi.Numerical simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74-78.(in Chinese)
[10]蒋东旗,项民生,谢定义.数值方法在动力机器基础设计中[J].工业建筑,2001,31(6):46-48.JIANG Dongqi,XIANG Mingsheng,XIE Dingyi.Application of numerical simulation method to dynamic machinery foundation design[J].Indus-trial Construction,2001,31(6):46-48.(in Chinese)
[11]王幼青,张克绪,朱腾明.动力基础与地基体系分析[J].哈尔滨建筑大学学报,1999,32(3):43-47.WANG Youqing,ZHANG Kexu,ZHU Tengming.Dynamic machine soil-foundation system analysis[J].Journal of Ha:bin University of C.E.&Architecture,1999,32(3):43-47.(in Chinese)
[12]燕彬,黄义,王成林.任意刚性基础竖向动阻抗的简化计算方法[J].世界地震工程,2005,21(1):91-96.YAN Bin,HUANG Yi,WANG Chengling.Simplified method for dynamic vertical impedance of rigid foundations with arbitrary shapes[J].World Earthquake Engineering,2005,21(1):91-96.(in Chinese)
[13]侯兴民,廖振鹏,丁海平.基础动力刚度的精确数值解及集中参数模型[J].地震工程与工程振动,2001,21(4):24-28.HOU Xingmin,LIAO Zhenpeng,DING Haiping.Exact numerical solution of foundation dynamic stiffness and its lumped parameter model[J].Journal of Earthquake Engineering and Engineering Vibration,2001,21(4):24-28.(in Chinese)
[14]GB 50040-96动力机器基础设计规范[S].GB 50040-96 Cod for Design of Dynamic Machine Foundation[S].(in Chinese)
[15]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,2007,38(1):170-174.LIU Zhijiu,SHANG Shouping,XU Jian.Vertical composite lumped larameter model of arbitrarily shaped embedded foundations[J].Journal ofCentral South University,2007,38(1):170-174.(in Chinese)
[16]刘志久,尚守平,徐建,等.任意形状埋置基础滑移振动复合集总参数模型[J].工程力学,2010,27(12):174-178.LIU Zhijiu,SHANG Shouping,XU Jian.Sliding composite lumped parameter model of arbitrarily shaped foundations[J].Engineering Mechan-ics,2010,27(12):174-178.(in Chinese)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心