埋置基础扭转振动的实用化计算与试验的对比
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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。在20 m×10 m×4 m土坑内采用摆锤分别对底面尺寸为0.5 m×0.5 m和1.0 m×0.5 m的埋置块体基础施加冲击荷载,使其发生扭转自由振动,并对其振动响应进行采集,将试验结果与采用实用化计算公式的计算结果进行了比较。该公式具有概念明确,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适用,其结果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 embedded lump foundations were established based on the elastic half-space theory and state-of-the-art results of comprehensive experimental and numerical calculation by using equation equivalence method.Exerting impulsive load to embedded lump foundation of 0.5 m×0.5 m and 1.0 m×0.5 m with pendulum hammer to make foundations happen free torsional vibration in pit of 20 m×10 m×4 m respectively,collecting its vibration response,the results of experiment are compared to the results of calculation performed with practical calculation formulas.The advantages of the formulas are clear concept and simple calculation.It is practical for power equipment lumped foundation of arbitrarily shaped and arbitrarily embedded lumped foundations.It has referential significance to the calculation of seismic response of structural engineering.
The practical calculation formulas for torsional vibration of embedded lump foundations were established based on the elastic half-space theory and state-of-the-art results of comprehensive experimental and numerical calculation by using equation equivalence method.Exerting impulsive load to embedded lump foundation of 0.5 m×0.5 m and 1.0 m×0.5 m with pendulum hammer to make foundations happen free torsional vibration in pit of 20 m×10 m×4 m respectively,collecting its vibration response,the results of experiment are compared to the results of calculation performed with practical calculation formulas.The advantages of the formulas are clear concept and simple calculation.It is practical for power equipment lumped foundation of arbitrarily shaped and arbitrarily embedded lumped foundations.It has referential significance to the calculation of seismic response of structural engineering.
引文
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[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 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.
[3]刘纯康.机器基础振动分析和现状[C]//第2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.
[4]徐建.动力机器基础设计理论研究发展建议[C]//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.
[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.
[6]GAZETAS G.Formulas and charts for impedances of surface and embedded foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,1991,117(9):1363-1381.
[7]CELEBI E,FIRAT S,CANKAYA I.The effectiveness of wave barriers on the dynamic stiffness coefficients of foundations using boundary element method[J].Applied Mathematics and Computation,2006,180(2):683-699.
[8]CELEBI E,FIRAT S,CANKAYA L.Dynamic impedance functions for rectangular rigid foundations[J].Teknik Dergi/Technical Journal of Turkish 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 Dong-qi,XIE Ding-yi.Numerical simulation method for foundation design of dynamic machine[J].China Civil Engineering Journal,2002,35(1):74-78.
[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 Dong-qi,XIANG Min-sheng,XIE Ding-yi.Application of numerical simulation method to dynamic machinery foundation design[J].Industrial Construction,2001,31(6):46-48.
[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 You-qing,ZHANG Ke-xu,ZHU Teng-ming.Dynamic machine soil-foundation system analysis[J].Journal of Harbin University of Civil Engineering and Architecture,1999,32(3):43-47.
[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 Cheng-lin.Simplified method for dynamic vertical impedance of rigid foundations with arbitrary shapes[J].World Earthquake Engineering,2005,21(1):91-96.
[13]BAIDYA D K,RATHI A.Dynamic response of footings on a sand layer of finite thickness[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2004,130(6):651-655.
[14]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.
[15]刘纯康.机器基础振动分析和现状[C]//第2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.
[16]尚守平,李刚,任慧.剪切模量沿深度按指数规律增大的场地土的地震放大效应[J].工程力学,2005,22(5):153-157.SHANG Shou-ping,LI Gang.REN Hui.Seismic amplification of sites with exponentially increasing shear modulus with depth[J].Engineering Mechanics,2005,22(5):153-157.
[17]中华人民共和国机械工业部.GB 50040-96动力机器基础设计规范[S].北京:中国计划出版社,1997.
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