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构造含结点旋转单元的坐标变换法
引用本文:段春生. 构造含结点旋转单元的坐标变换法[J]. 沈阳航空工业学院学报, 1997, 14(1): 7-10
作者姓名:段春生
摘    要:
Allman提出了带角结点旋转的三角形单元及相应的四边形单元,法向位移的二次插值保证了该单元的精度,但带来了构成单元的复杂。本文把Allman单元看成是对一个有边中结点单元进行坐标变换的结果,大大提高了计算效率。

关 键 词:结点旋转 坐标变换 刚度矩阵 有限元

Coordinate Tranformation to Construct Element with Vertex Rotations
Duan Chunsheng. Coordinate Tranformation to Construct Element with Vertex Rotations[J]. Journal of Shenyang Institute of Aeronautical Engineering, 1997, 14(1): 7-10
Authors:Duan Chunsheng
Affiliation:Duan Chunsheng
Abstract:
Allman has introdced triangular and quadrilateral element including vertex rotations.Tests show the elements to be of acceptable accuracy but complex constructing. In Presentpaper the Allman element is regarded as a result of applying a coordinate transformation toan element that has midside nodes. This method is simple and efficient.
Keywords:vertex rotations   coordinate transformation   stiffness matrix
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