| 边界拟合坐标在有限单元法中的应用 |
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| 引用本文： | 方保镕. 边界拟合坐标在有限单元法中的应用[J]. 河海大学学报(自然科学版), 1987, 0(2) |
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| 作者姓名： | 方保镕 |
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| 作者单位： | 河海大学基础课部 |
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| 摘 要： | 本文介绍用边界拟合坐标将一个不规则区域变换为一个矩形区域的方法;导出了在边界拟合坐标变换下求解弹性力学平面问题的有限单元法计算式.这种方法在计算劲度矩阵时,被积函数大为简化,因而具有实用意义.文中的算例进一步验证了该法的简便性和计算结果的精确程度.
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| 关 键 词： | 边界拟合坐标 弹性力学 有限单元法 矩形单元 |
Application of Boundary Fitted Coordinates to FEM |
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| Fang Baorong. Application of Boundary Fitted Coordinates to FEM[J]. Journal of Hohai University (Natural Sciences ), 1987, 0(2) |
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| Authors: | Fang Baorong |
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| Affiliation: | Fang Baorong |
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| Abstract: | Introduced in this paper is a method to transform an irregular region into a rectangular one by boundary fitted coordinates. Computational formulas of FEM are derived for solving plane problems of elasticity. The method remarkably simplifies the integrand for the stiffness matrix, and therefore has practical significance. Numerical examples given in the paper show that the method is simple and accurate. |
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| Keywords: | boundary fitted coordinates elasticity finite element method rectangular element |
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