INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (2): 109-116.

INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

纪振义¹, 叶开沅²

1. Anhui Architectural Industry College, Hefei;
2. Lanzhou University, Lanzhou

收稿日期:1991-05-21 出版日期:1993-02-18 发布日期:1993-02-18
基金资助:
The project supported by the Outstanding Education Fund and Doctor Point Fund of National Education Committee and the National Science Foundation of China

INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

Ji Zhen-yi¹, Yeh Kai-yuan²

1. Anhui Architectural Industry College, Hefei;
2. Lanzhou University, Lanzhou

Received:1991-05-21 Online:1993-02-18 Published:1993-02-18
Supported by:
The project supported by the Outstanding Education Fund and Doctor Point Fund of National Education Committee and the National Science Foundation of China

摘要/Abstract

摘要： This paper presents a new curved quadrilateral plate element with 12-degree freedom by the exact element method[1]. The method can be used to arbitrary non-positive and positive definite partial differential equations without variation principle. Using this method, the compatibility conditions between element can be treated very easily, if displacements and stress resultants are continuous at nodes between elements. The displacements and stress resultants obtained by the present method can converge to exact solution and have the second order convergence speed. Numerical examples are given at the end of this paper, which show the excellent precision and efficiency of the new element.

关键词: exact element method, thin plate, curved quadrilateral element

Abstract: This paper presents a new curved quadrilateral plate element with 12-degree freedom by the exact element method[1]. The method can be used to arbitrary non-positive and positive definite partial differential equations without variation principle. Using this method, the compatibility conditions between element can be treated very easily, if displacements and stress resultants are continuous at nodes between elements. The displacements and stress resultants obtained by the present method can converge to exact solution and have the second order convergence speed. Numerical examples are given at the end of this paper, which show the excellent precision and efficiency of the new element.

Key words: exact element method, thin plate, curved quadrilateral element

纪振义;叶开沅. INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(2): 109-116.

Ji Zhen-yi;Yeh Kai-yuan. INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(2): 109-116.

[1]	Xun WANG, Chunxia XUE, Haitao LI. Nonlinear primary resonance analysis for a coupled thermo-piezoelectric-mechanical model of piezoelectric rectangular thin plates[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1155-1168.
[2]	M. AOUADI. On thermoelastic diffusion thin plate theory[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 619-632.
[3]	温伟斌蹇开林骆少明. 2D numerical manifold method based on quartic uniform B-spline interpolation and its application in thin plate bending[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(8): 1017-1030.
[4]	胡宇达张金志. Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(11): 1405-1420.
[5]	李双宝;张伟. Global bifurcations and multi-pulse chaotic dynamics of rectangular thin plate with one-to-one internal resonance[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(9): 1115-1128.
[6]	李善倾袁鸿. Quasi-Green’s function method for free vibration of clamped thin plates on Winkler foundation[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(3): 265-276.
[7]	黄家寅. UNIFORMLY VALID ASYMPTOTIC SOLUTIONS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE OF FOUR CLAMPED EDGES WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 817-826.
[8]	黄家寅. BASIC EQUATIONS OF THE PROBLEM OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 812-816.
[9]	龙述尧;熊渊博. RESEARCH ON THE COMPANION SOLUTION FOR A THIN PLATE IN THE MESHLESS LOCAL BOUNDARY INTEGRAL EQUATION METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 418-423.
[10]	熊渊博;龙述尧. LOCAL PETROV-GALERKIN METHOD FOR A THIN PLATE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 210-218.
[11]	王新志;赵永刚;叶开沅;黄达文. UNSYMMETRICAL LARGE DEFORMATION PROBLEM OF ORTHOTROPIC PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 993-1000.
[12]	张能辉;程昌钧. A TIME DOMAIN METHOD FOR QUASI-STATIC ANALYSIS OF VISCOELASTIC THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1109-1117.
[13]	张耀明;孙焕纯;杨家新. EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(11): 1246-1255.
[14]	张英世. VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 568-578.
[15]	张英世;王燮山. VIBRATIONS OF ONE-WAY RECTANGULAR STEPPED THIN PLATES ON WINKLER’S FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 169-177.

INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价