大型双曲冷却塔的自振特性
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摘要
针对大型双曲冷却塔的自振特性问题,采用有限元方法进行计算分析,以某典型塔为例分析自振频率和振型的分布特点,并进行冷却塔自振特性的变参数分析,最后拟合得基频和倾覆频率的计算公式。分析表明:冷却塔的基频与混凝土材料参数槡E/ρ、筒体厚度成线性递增关系,与高度成反比,与人字柱总截面面积和子午线退化参数呈二次曲线关系。拟合公式与实测结果吻合较好,说明其在预测冷却塔自振频率方面具有较高可信度。
The paper uses the finite element method to study the vibration characteristics of large hyperbolic cooling towers.Taking a typical tower for example,the distribution of the natural frequencies and mode shapes are investigated.The equations to estimate the fundamental frequency and overturning frequency are fitted based on a series of parametric studies.The results show that the fundamental frequency is directly proportional to the concrete material propertyE/ρ and the thickness of tower wall,and inversely proportional to the height of tower.The fundamental frequency also has a quadratic relationship with the total cross-sectional area of supporting columns and the median regressive parameter.The good matches between the results from the fitting equation and the results from full-scale tests indicate that the fitting equation has a high credibility in predicting the natural frequencies of cooling towers.
The paper uses the finite element method to study the vibration characteristics of large hyperbolic cooling towers.Taking a typical tower for example,the distribution of the natural frequencies and mode shapes are investigated.The equations to estimate the fundamental frequency and overturning frequency are fitted based on a series of parametric studies.The results show that the fundamental frequency is directly proportional to the concrete material propertyE/ρ and the thickness of tower wall,and inversely proportional to the height of tower.The fundamental frequency also has a quadratic relationship with the total cross-sectional area of supporting columns and the median regressive parameter.The good matches between the results from the fitting equation and the results from full-scale tests indicate that the fitting equation has a high credibility in predicting the natural frequencies of cooling towers.
引文
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[10]赵衍刚,江近仁.双曲冷却塔的动力分析[J].地震工程与工程振动,1994,14(1):61-71.ZHAO YAN-GANG,JIANG JIIN-REN.Dynamicanalysis of hyperbolic cooling tower[J].EarthquakeEngineering and Engineering Vibration,1994,14(1):61-71.
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[12]鲍侃袁.大型双曲冷却塔的风荷载和风致响应理论分析和实验研究[D].杭州:浙江大学,2008.
[13]NASIR A M,THAMBIRATNAM D,BUTLER P,et al.Dynamics of axisymmetric hyperbolic shellstructures[J].Thin-walled Structures,2002,(40):665-690.
[14]王宁博.大型双曲冷却塔风致响应和等效风荷载研究[D].杭州:浙江大学,2011.
[15]ABAQUS 6.9.Theory Manual[M].DassaultSystemes Simulia Corp,2009.
[16]张文元.ABAQUS动力学有限元分析指南[M].香港:中国图书出版社,2005.
[2]JUHASOVA E,BITTNAR Z,FISCHER O.Vibration characteristics of a cooling-tower shell[J].Journal of Wind Engineering and IndustrialAerodynamics,1983,(12):145-154.
[3]NOORZAEI J,NAGHSHINEH A,KADIR M R A,et al.Nonlinear interactive analysis of cooling tower-foundation-soil interaction under unsymmetrical windload[J].Thin-walled Structures,2006,44(9):997-1005
[4]鲍侃袁,沈国辉,孙炳楠.双曲冷却塔的脉动风荷载模拟和风致响应研究[J].浙江大学学报:工学版,2010,44(5):955-961.BAO KAN-YUAN,SHEN GUO-HUI,SUN BING-NAN.Numerical simulation of fluctuating wind loadand wind-induced response of large hyperbolic coolingtower[J].Journal of Zhejiang University:EngineeringScience,2010,44(5):955-961.
[5]柯世堂,赵林,葛耀君.超大型冷却塔结构风振与地震作用影响比较[J].哈尔滨工业大学学报,2010,42(10):1635-1641.KE SHI-TANG,ZHAO LIN,GE YAO-JUN.Comparison of super-large cooling towers underearthquake excitation and wind load[J].Journal ofHarbin Institute of Technology,2010,42(10):1635-1641.
[6]YEH C,W,SHIEH Y J.Stability and dynamicanalyses of cooling tower[J].Journal of the PowerDivision,1973,339-347.
[7]沈国辉,余关鹏,孙炳楠,等.大型冷却塔双塔干扰的风洞试验研究[J].振动与冲击,2011,30(3):109-114.SHEN GUO-HUI,YU GUAN-PENG,SUN BING-NAN,et al.Study on interference effects of two largehyperbolic cooling towers by using wind tunnel test[J].Journal of Vibration and Shock,2011,30(3):109-114.
[8]武秀根,郑百林,刘曙光,等.大型冷却塔的风致振动响应数值分析[J].力学季刊,2011,32(1):91-97.WU XIU-GEN,ZHENG BAI-LIN,LIU SHU-GUANG,et al.Numerical analysis of wind inducedresponse for large cooling tower[J].Chinese Quarterlyof Mechanics,2011,32(1):91-97.
[9]VILADKAR M N,KARISIDDAPPA,BHARGAVAP,et al.Static soil-structure interaction response ofhyperbolic cooling towers to symmetrical wind loads[J].Engineering Structures,2006,28(9):1236-1251.
[10]赵衍刚,江近仁.双曲冷却塔的动力分析[J].地震工程与工程振动,1994,14(1):61-71.ZHAO YAN-GANG,JIANG JIIN-REN.Dynamicanalysis of hyperbolic cooling tower[J].EarthquakeEngineering and Engineering Vibration,1994,14(1):61-71.
[11]张相庭.结构风工程[M].北京:中国建筑工业出版社,2006.
[12]鲍侃袁.大型双曲冷却塔的风荷载和风致响应理论分析和实验研究[D].杭州:浙江大学,2008.
[13]NASIR A M,THAMBIRATNAM D,BUTLER P,et al.Dynamics of axisymmetric hyperbolic shellstructures[J].Thin-walled Structures,2002,(40):665-690.
[14]王宁博.大型双曲冷却塔风致响应和等效风荷载研究[D].杭州:浙江大学,2011.
[15]ABAQUS 6.9.Theory Manual[M].DassaultSystemes Simulia Corp,2009.
[16]张文元.ABAQUS动力学有限元分析指南[M].香港:中国图书出版社,2005.
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