弯剪型模型下弹性贮液结构的自振特性分析
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摘要
贮液结构主要用于工业企业贮存清水、污水、石油和化学液体等。为了计算这类结构的地震响应,首先必须知道结构的自振频率和相应的振型。因此,针对无液贮液结构,考虑弯曲变形和剪切变形,推导了振型和频率方程。为方便工程应用,利用MATLAB软件,得到了前三阶振型的计算图表,并对不同高度不同变形理论的自振特性进行了分析。通过数值算例表明了文中结论的正确性,从而为这类结构的自振和地震响应分析奠定了基础。
Liquid-storage tanks,mostly used to reserve rinsing,sewerage,petroleum and chemistry liquid,are broadly applied in such industry corporations as water-supply and drainage industry,sewerage-disposal industry,petroleum industry,chemistry industry and so on.For the sake of computing preferably earthquake responding of these structures,the characteristics of their free vibration,like frequency of free vibration and corresponding oscillation-mode,have to be known beforehand.Therefore,for the liquid-storage tanks without liquid,the equations about oscillation-mode and frequency based on bending-shearing model are deduced,and at the same time,the calculation tables and chart of former three oscillation-modes are presented by using MATLAB program,and free vibration characteristics using different deformation theory in different heights are analyzed.The correctness of the result is proved by calculation example,and a theory base is provided for analyzing subsequent free vibration and earthquake responding of this type of structure.
Liquid-storage tanks,mostly used to reserve rinsing,sewerage,petroleum and chemistry liquid,are broadly applied in such industry corporations as water-supply and drainage industry,sewerage-disposal industry,petroleum industry,chemistry industry and so on.For the sake of computing preferably earthquake responding of these structures,the characteristics of their free vibration,like frequency of free vibration and corresponding oscillation-mode,have to be known beforehand.Therefore,for the liquid-storage tanks without liquid,the equations about oscillation-mode and frequency based on bending-shearing model are deduced,and at the same time,the calculation tables and chart of former three oscillation-modes are presented by using MATLAB program,and free vibration characteristics using different deformation theory in different heights are analyzed.The correctness of the result is proved by calculation example,and a theory base is provided for analyzing subsequent free vibration and earthquake responding of this type of structure.
引文
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[9]MAEKAWA A,FUJITA K,SUZUKI M.Seismicresponse reduction caused by coupling between beam-type and oval-type vibrations of a cylindrical waterstorage tank under large excitation[C]//Proceedings ofAmerican Society of Mechanical Engineers 2007Pressure Vessels and Piping Conference(PVP2007),July 22-26,2007,San Antonio,Texas,USA.[S.l.]:IEEE Press,2007,8:303-310.
[10]张相庭.高层建筑抗风抗震设计计算[M].上海:同济大学出版社,1997:134-138.
[11]克拉夫R W,彭津J.结构动力学[M].王光远,译.北京:科学出版社,1981:195-215.
[12]唐友刚.高等结构动力学[M].天津:天津大学出版社,2002:52-76.
[13]张相庭,王志培,黄本才,等.结构振动力学[M].上海:同济大学出版社,2005:93-118.
[14]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983:40-92.
[15]GB50010—2002,混凝土结构设计规范[S].北京:中国建筑工业出版社,2002.
[2]翁智远,徐礼存.圆柱形弹性贮液容器的自振特性分析[J].力学季刊,2000,21(1):110-117.WENG ZHI-YUAN,XU LI-CUN.Free vibrationalcharacteristic analysis for an elastic cylindrical liquidstorage tank[J].Chinese Quarterly of Mechanics,2000,21(1):110-117.
[3]杜永峰,史晓宇,程选生.钢筋混凝土矩形贮液结构的液固耦合振动[J].甘肃科学学报,2008,20(2):45-49.DU YONG-FENG,SHI XIAO-YU,CHENG XUAN-SHENG.Vibration of reinforced concrete rectangularliquid-storage structures with liquid-structureinteraction[J].Journal of Gansu Sciences,2008,20(2):45-49.
[4]刘宗贤,曹志远.多层与高层工业及民用建筑结构自振特性分析[J].建筑结构学报,1994,15(4):62-76.LIU ZHONG-XIAN,CAO ZHI-YUAN.Analysis ofnatural vibration of multistory and highrise industrialand civil building structures[J].Journal of BuildingStructures,1994,15(4):62-76.
[5]HAN R.P S,LIU J D.Free vibration analysis of afluid-loaded variable thickness cylindrical tanks[J].Journal of Sound and Vibration,1994,176,(2):235-253.
[6]ZHOU DING.Free bending vibration of cylindricaltank partially filled with liquid and submerged in water[J].Applied Mathematics and Mechanics:EnglishEdition,1990,11(5):469-477.
[7]MAEKAWA A,SHIMIZUY,SUZUKI M,et al.Study of correlation between beam vibration and ovalvibration on cylindrical water storage tank[C]//Proceedings of American Society of MechanicalEngineers 2005Pressure Vessels and Piping Conference(PVP2005),July 17-21,2005,Denver,Colorado,USA.[S.l.]:IEEE Press,2005,4:121-129.
[8]MAEKAWA A,FUJITA K.Coupling between beam-type vibration and oval-type vibration of a cylindricalwater storage tank[J].WIT Transactions on the BuiltEnvironment,2007,92:121-130.
[9]MAEKAWA A,FUJITA K,SUZUKI M.Seismicresponse reduction caused by coupling between beam-type and oval-type vibrations of a cylindrical waterstorage tank under large excitation[C]//Proceedings ofAmerican Society of Mechanical Engineers 2007Pressure Vessels and Piping Conference(PVP2007),July 22-26,2007,San Antonio,Texas,USA.[S.l.]:IEEE Press,2007,8:303-310.
[10]张相庭.高层建筑抗风抗震设计计算[M].上海:同济大学出版社,1997:134-138.
[11]克拉夫R W,彭津J.结构动力学[M].王光远,译.北京:科学出版社,1981:195-215.
[12]唐友刚.高等结构动力学[M].天津:天津大学出版社,2002:52-76.
[13]张相庭,王志培,黄本才,等.结构振动力学[M].上海:同济大学出版社,2005:93-118.
[14]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983:40-92.
[15]GB50010—2002,混凝土结构设计规范[S].北京:中国建筑工业出版社,2002.
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