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基于能量合成法的塔式结构刚度识别研究
引用本文:葛晓永,王俊.基于能量合成法的塔式结构刚度识别研究[J].地震学刊,2010(6):650-654.
作者姓名:葛晓永  王俊
作者单位:[1]南京市麒麟科技创业园规划建设处,南京211135 [2]南京工业大学土木学院交通工程系,南京210009
基金项目:江苏省交通科学研究计划项目(08Y29); 江苏省博士后基金项目(0802071C); 南京工业大学青年教师重点学术基金项目(39713005)资助
摘    要:在Rayleigh能量法和Southwell's频率合成法的基础上,将结构的振动基频表示为由各变形元和惯性元组成的子系统频率的合成,其中变形元为结构的弯曲变形和剪切变形,惯性元为结构的分布质量和塔顶附加质量。通过选取满足边界条件的挠度函数,建立了底部固定、顶端带有附加质量的塔式结构基频与刚度的关系,因此可通过测量结构的振动基频识别出塔式结构的抗弯刚度和抗剪刚度。以某钢塔为计算实例,采用该算法推导出了结构振动基频与弹性模量的关系,只要知道截面的几何尺寸和材料性质,便可快速识别出各截面的刚度。有限元空间建模计算结果证明了本文提出的算法具有较高精度。该方法适合底部固定的塔式结构,可为复杂空间塔式结构使用状态的监测与评估提供参考。

关 键 词:能量合成法  塔式结构  刚度  振动基频

Research on Identification of Stiffness of Tower Structures Based on Energy and Synthesis Method
GE Xiao-yong,WANG Jun.Research on Identification of Stiffness of Tower Structures Based on Energy and Synthesis Method[J].Journal of Seismology,2010(6):650-654.
Authors:GE Xiao-yong  WANG Jun
Institution:1.Planning and Construction Department of Nanjing Qilin Science Innovative Park,Nanjing 211135,China; 2.Department of Transportation Engineering of College of Civil Engineering,Nanjing University of Technology,Nanjing 210009,China)
Abstract:Based on the combination of Rayleigh and Southwell' s methods,fundamental frequency of structures could be denoted as a composition of frequencies of several subsystems,which consists of deformation components and inertia components.Deformation components include flexural deformation and shear deformation,and inertia components include structure distributed mass and added mass on tower top.Through choosing deflection function satisfying boundary condition,the relationship between funda- mental frequency and stiffness of tower structure with fixed bottom and top concentrated mass could be found.Thus tower structure' s bending and shear stiffness could be recognized through measuring its vibration fundamental frequency.The algorithm was applied to a steel tower and to deduce the relationship of tower's fundamental frequency and its elastic modulus.Each section's stiffness could be quickly identified as long as its geometric size and material properties were known.Finite element method(FEM) was utilized to prove high precision of this algorithm.The method is suitable to tower structures with fixed bottom,and can provide valuable information for monitoring and evaluating the operation state of tower structure.
Keywords:energy and synthesis  tower structure  stiffness  fundamental frequency
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