A non-uniform grid for triangular differential quadrature

被引：1
|
作者：
Zhong, HongZhi [1 ]
Xu, Jia [1 ]
机构：
[1] Tsinghua Univ, Dept Civil Engn, Beijing 100084, Peoples R China
来源：
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2016年 / 59卷 / 12期
基金：
中国国家自然科学基金;
关键词：
differential quadrature; triangular differential quadrature; non-uniform grid; weighting coefficient; affine transformation; ELEMENT METHOD; PLATES; VIBRATION;
D O I：
10.1007/s11433-016-0313-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The triangular differential quadrature method based on a non-uniform grid is proposed in the paper. Explicit expressions of the non-uniform grid point coordinates are given and the weighting coefficients of the triangular differential quadrature method are determined with the aid of area coordinates. Two typical examples are presented to testify the effectiveness of the non-uniform grid. It is shown that rapid convergence is achieved under the non-uniform grid in comparison with those from the uniform grid with the same order of approximation.
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页数：8
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