任意形状埋置基础滑移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发展成果推导出一个计算埋置基础滑移振动的复合集总参数模型。采用该模型对复杂形状的埋置块体基础在水平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弹性半空间理论所得到的埋置基础滑移振动刚度和阻尼系数公式(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:两者结果吻合,振幅误差为22.9%。利用该模型可以容易地计算在水平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埋置基础的动力响应。
A sliding composite lumped parameter model is established based on the results obtained with complex-shaped formulations of embedded foundation oscillating on an elastic half-space.Horizontally dynamic responses of a arbitrarily shaped and complicatedly embedded foundation are calculated by making use of this model and formulas(supported by results of comprehensive experimental and numerical analysis),which are developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficients of foundations harmonically sliding oscillating on a homogeneous half-space.Agreement is found between the proposed model and the theory of elastic half-space for sliding oscillations with an error of 22.9%.The advantage of the composite lumped parameter model is to compute the dynamic responses of arbitrarily shaped and complicatedly embedded lumped foundations sliding oscillating on a homogeneous half-space readily considering all oscillation frequencies,realistic range of Poisson's ratios(ν≤0.48),all foundation base shapes(excluding annular) and complicated embedment.
A sliding composite lumped parameter model is established based on the results obtained with complex-shaped formulations of embedded foundation oscillating on an elastic half-space.Horizontally dynamic responses of a arbitrarily shaped and complicatedly embedded foundation are calculated by making use of this model and formulas(supported by results of comprehensive experimental and numerical analysis),which are developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficients of foundations harmonically sliding oscillating on a homogeneous half-space.Agreement is found between the proposed model and the theory of elastic half-space for sliding oscillations with an error of 22.9%.The advantage of the composite lumped parameter model is to compute the dynamic responses of arbitrarily shaped and complicatedly embedded lumped foundations sliding oscillating on a homogeneous half-space readily considering all oscillation frequencies,realistic range of Poisson's ratios(ν≤0.48),all foundation base shapes(excluding annular) and complicated embedment.
引文
[1]GB 50040-96,动力机器基础设计规范[S].1996.GB 50040-96,Cod for design of dynamic machine foundation[S].1996.(in Chinese)
[2]GB/T 50269-97,地基动力特性测试规范[S].1997.GB/T 50296-97,Cod for measurement method of dynamic properties of subsoil[S].1997.(in Chinese)
[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 Xikang.Development of discipline for vibration of machinery foundation in china and some problems being studied[J].Industrial Construction,2007,37(6):83―90.(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3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 3rd Nationwide Conference on Architectural 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.Yan Renjue,Wang Yisun,Han Qingyu.Half-space theory introduction of dynamic foundation[M].Beijing:China Architecture and Building Press,1981.(in Chinese)
[6]Gazetas.Formulas and charts for impedances of surface and embedded foundations[J].Journal of Geotechnical Engineering,ASCE,1991,117(9):1363―1381.
[7]Wolf John P,Paronesso Antonio.Lumped-parameter model for foundation on layer[C]//Balkema A A.Proceedings of the Interational Conference on Soil Mechanics and Foundation Engineering,Rotterdam,Neth,1991:287―290.
[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 Xingmin,Liao Zhenpeng.Lumped-parameter models impedance matrix of rigid rectangular foundations of the half-space[J].Earthquake Engineering and Engineering Vibration,1999,19(4):6―12.(in Chinese)
[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 loaded foundation[J].China Civil Engineering Journal,2002,35(4):70―76.(in Chinese)
[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.Jang Dongqi,Xie Dingyi.Numerical simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74―78.(in Chinese)
[11]刘志久,尚守平,王贻荪.任意形状明置基础竖向振动复合集总参数模型[C]//崔京浩.第18届全国结构工程学术会议论文集,北京:《工程力学》杂志社,2009:II-304―II-309.Liu Zhijiu,Shang Shouping,Wang Yisun.Vertical composite lumped parameter model of arbitrarily shaped surface foundations[C]//Cui Jinghao.Proceedings of the 18th National Conference on Structural Engineering,Beijing:Engineering Mechanics Press,2009:II-304―II-309.(in Chinese)
[12]刘志久,尚守平,徐建,王贻荪.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,Wang Yisun.Vertical composite lumped larameter model of arbitrarily shaped embedded foundations[J].Journal of Central South University,2007,38(1):170―174.(in Chinese)
[13]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 Zhijiu,Li Huijian,Li Zhenzi.Rocking composite lumped parameter model of arbitrarily shaped embedded foundations[C]//Cui Jinghao.Proceedings of the 16th National Conference on Structural Engineering,Beijing:Engineering Mechanics Press,2007:II-340―II-346.(in Chinese)
[14]刘志久,尚守平,徐建,王贻荪.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―75,81.Liu Zhijiu,Shang Shouping,Xu Jian,Wang Yisun.Sliding composite lumped parameter model of arbitrarily shaped foundations[J].Engineering Mechanics,2007,24(12):72―75,81.(in Chinese)
[15]Baidya D K,Rathi.Dynamic response of footing on a sand layer of thickness[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2004,130(6):651―655.
[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 Xijun,Jia Qifen,Zhang Wende.Engineering vibration and testing technology[M].Tianjin:Tianjin University Press,1999.(in Chinese)
[17]尚守平,刘志久,王贻荪,徐建,刘静,周慧,张谞博,胡二中.竖向振动复合集总参数模型试验结果与理论结果的对比[J].中南大学学报,2009,40(2):533―537.Shang Shouping,Liu Zhijiu,Wang Yisun,Xu Jian,Liu Jing,Zhou Hui,Zhang Xubo,Hu Erzhong.Comparison of experiment results with theory results of vertical composite lumped parameter model[J].Journal of Central South University,2009,40(2):533―537.(in Chinese)
[2]GB/T 50269-97,地基动力特性测试规范[S].1997.GB/T 50296-97,Cod for measurement method of dynamic properties of subsoil[S].1997.(in Chinese)
[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 Xikang.Development of discipline for vibration of machinery foundation in china and some problems being studied[J].Industrial Construction,2007,37(6):83―90.(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3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 3rd Nationwide Conference on Architectural 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.Yan Renjue,Wang Yisun,Han Qingyu.Half-space theory introduction of dynamic foundation[M].Beijing:China Architecture and Building Press,1981.(in Chinese)
[6]Gazetas.Formulas and charts for impedances of surface and embedded foundations[J].Journal of Geotechnical Engineering,ASCE,1991,117(9):1363―1381.
[7]Wolf John P,Paronesso Antonio.Lumped-parameter model for foundation on layer[C]//Balkema A A.Proceedings of the Interational Conference on Soil Mechanics and Foundation Engineering,Rotterdam,Neth,1991:287―290.
[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 Xingmin,Liao Zhenpeng.Lumped-parameter models impedance matrix of rigid rectangular foundations of the half-space[J].Earthquake Engineering and Engineering Vibration,1999,19(4):6―12.(in Chinese)
[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 loaded foundation[J].China Civil Engineering Journal,2002,35(4):70―76.(in Chinese)
[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.Jang Dongqi,Xie Dingyi.Numerical simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74―78.(in Chinese)
[11]刘志久,尚守平,王贻荪.任意形状明置基础竖向振动复合集总参数模型[C]//崔京浩.第18届全国结构工程学术会议论文集,北京:《工程力学》杂志社,2009:II-304―II-309.Liu Zhijiu,Shang Shouping,Wang Yisun.Vertical composite lumped parameter model of arbitrarily shaped surface foundations[C]//Cui Jinghao.Proceedings of the 18th National Conference on Structural Engineering,Beijing:Engineering Mechanics Press,2009:II-304―II-309.(in Chinese)
[12]刘志久,尚守平,徐建,王贻荪.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,Wang Yisun.Vertical composite lumped larameter model of arbitrarily shaped embedded foundations[J].Journal of Central South University,2007,38(1):170―174.(in Chinese)
[13]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 Zhijiu,Li Huijian,Li Zhenzi.Rocking composite lumped parameter model of arbitrarily shaped embedded foundations[C]//Cui Jinghao.Proceedings of the 16th National Conference on Structural Engineering,Beijing:Engineering Mechanics Press,2007:II-340―II-346.(in Chinese)
[14]刘志久,尚守平,徐建,王贻荪.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―75,81.Liu Zhijiu,Shang Shouping,Xu Jian,Wang Yisun.Sliding composite lumped parameter model of arbitrarily shaped foundations[J].Engineering Mechanics,2007,24(12):72―75,81.(in Chinese)
[15]Baidya D K,Rathi.Dynamic response of footing on a sand layer of thickness[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2004,130(6):651―655.
[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 Xijun,Jia Qifen,Zhang Wende.Engineering vibration and testing technology[M].Tianjin:Tianjin University Press,1999.(in Chinese)
[17]尚守平,刘志久,王贻荪,徐建,刘静,周慧,张谞博,胡二中.竖向振动复合集总参数模型试验结果与理论结果的对比[J].中南大学学报,2009,40(2):533―537.Shang Shouping,Liu Zhijiu,Wang Yisun,Xu Jian,Liu Jing,Zhou Hui,Zhang Xubo,Hu Erzhong.Comparison of experiment results with theory results of vertical composite lumped parameter model[J].Journal of Central South University,2009,40(2):533―537.(in Chinese)
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