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变截面梁扭转的有限元分析
引用本文:桑楠.变截面梁扭转的有限元分析[J].常州工学院学报,2005,18(6):6-8,24.
作者姓名:桑楠
作者单位:常州工学院应用技术学院,江苏,常州,213002
摘    要:推导了变截面梁单元的扭转刚度矩阵和等效节点载荷公式。对于截面半径按线性变化的梁,运用该扭转刚度矩阵将得到精确解。对于变截面梁的扭转,若用等截面扭转刚度矩阵分段近似,需采用较多的单元数,才能使结果收敛于精确解。

关 键 词:有限元  扭转刚度  变截面
文章编号:1671-0436(2005)06-0006-03
收稿时间:2005-08-30
修稿时间:2005-08-30

Analysis of the Torsion of Non-uniform Beam Finite Element
SANG Nan.Analysis of the Torsion of Non-uniform Beam Finite Element[J].Journal of Changzhou Institute of Technology,2005,18(6):6-8,24.
Authors:SANG Nan
Affiliation:School of Applied Technology, Changzhou Institute of Technology, Changzhou 213002
Abstract:In the thesis the element torsion stiffness matrix and equivalent joint load are derived. The use of element stiffness matrix will produce exact solutions for members with linearly varying radius. As to the torsion of non - uniform beam, if using uniform the element stiffness matrix, one needs more elements in order to converge to the exact solution.
Keywords:finite element  torsion stiffness  non-uniform beam
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