竖向振动复合集总参数模型实验结果与理论结果的对比
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摘要
根据基础振动弹性半空间理论,推演明置基础竖向振动复合集总参数模型。通过采用不同尺寸的块体模型基础,在明置和埋置情况下施加初速度,使基础发生自由振动,将实验结果与采用基础竖向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:实验结果与计算结果相吻合。利用该模型可以计算均质半空间上块体基础在竖向扰力作用下任意频率、任意形状(不包括环型)的明置和埋置基础的动力响应。
A new vertical 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 differently shaped lumped foundations perturbed by the initial velocity was achieved in case of surface and embedment.The results of the experiment and the theory of CLPM were compared.The results show that they are in accordance with each other.CLPM can be used to compute dynamic response of arbitrarily shaped surface and embedment lumped foundations harmonically vertical oscillating on a homogeneous half-space.
A new vertical 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 differently shaped lumped foundations perturbed by the initial velocity was achieved in case of surface and embedment.The results of the experiment and the theory of CLPM were compared.The results show that they are in accordance with each other.CLPM can be used to compute dynamic response of arbitrarily shaped surface and embedment lumped foundations harmonically vertical oscillating on a homogeneous half-space.
引文
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[18]Tassoulas J L,Eduardo K.On the effect of the rigid sidewall on the dynamic stiffness of embedded circular footings[J].Earthquake Engineering and Structural Dynamics,1983,11(3):403-414.
[2]GB/T50269—97,地基动力特性测试规范[S].GB/T50296—97,Cod for measurement method of dynamic 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 vibration of machinery foundation in China and some problems being studied[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.XU Jian.The development suggestions of machine foundation design theory[C]//YE Liao-yuan.Proceedings of the Third Nationwide Conference on Architectural Vibration.Kunming:Yunnan Scientific and Technical Press,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].Beijing:China Architecture and Building Press,1981.
[6]王四根.刚性动力荷载作用下地基动力反应的若干问题[J].岩土力学,2003,24(2):202-208.WANG Si-gen.Several problems about dynamic response of ground under rigid dynamic loading[J].Rock and Soil Mechanics,2003,24(2):202-208.
[7]Wolf J P,Paronesso A.Lumped-parameter model for foundation on layer[C]//Proceedings of the International Conference on Soil Mechanics and Foundation Engineering.Balkema,1991:287-290.
[8]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 Xing-min,LIAO Zhen-peng,DING Hai-ping.Exact numerical solution of foundation dynamic stiffness and its lumped parameter model[J].Earthquake Engineering and Engineering Vibration,2001,21(4):24-28.
[9]Gazetas.Formulas and charts for impedances of surface and embedded foundations[J].J Geotech Engrg,ASCE,1991,117(9):1363-1381.
[10]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-parameter models impedance matrix of rigid rectangular foundations of the half-space[J].Earthquake Engineering and Engineering Vibration,1999,19(4):6-12.
[11]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.
[12]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 simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74-78.
[13]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 parameter model of arbitrarily shaped embedded foundations[J].Journal of Central South University:Science and Technology,2007,38(1):170-174.
[14]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 arbitrarily shaped foundations[J].Engineering Mechanics,2007,24(12):72-75.
[15]Baidya D K,Rathi A.Dynamic response of footing on a sand layer of thickness[J].J Geotech Geoenviron Engrg,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 Xi-jun,JIA Qi-fen,ZHANG Wen-de.Engineering vibration and testing technology[M].Tianjing:Tianjing 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 of machine foundation vibration[C]//China Association for Engineering Construction Standardization.Proceedings of the Second Nationwide Conference on Architectural Vibration.Beijing:China Architecture and Building Press,1997:1-6.
[18]Tassoulas J L,Eduardo K.On the effect of the rigid sidewall on the dynamic stiffness of embedded circular footings[J].Earthquake Engineering and Structural Dynamics,1983,11(3):403-414.
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