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| 协调等参元与非协调元的对应性研究 | |
| 引用本文： | 鹿晓阳,史宝军,岑章志,鹿晓力. 协调等参元与非协调元的对应性研究[J]. 工程力学, 2001, 18(1): 36-40 |
| 作者姓名： | 鹿晓阳 史宝军 岑章志 鹿晓力 |
| 作者单位： | 1. 山东建筑工程学院，济南 250014 2. 清华大学，北京 100084 3. 郑州轻工业学院，郑州 450002 |
| 基金项目： | 国家自然科学基金!(19972040)，山东省自然科学基金!(Y97F0387) |
| 摘 要： | 本文据协调等参元位移模式转换式，提出了广义自由度的概念。并通过对广义自由度施加一定约束，证明了协调等参元与非协调元之间存在的对应性。从而阐明了非协调元内自由度的实质是广义自由度的退化；而非协调元是协调等参元的特列。 |
| 关 键 词： | 协调等参元 非协调元 对应性 广义自由度 内自由度 |
| 文章编号： | 1000-4750(2001)01-036-05 |
| 修稿时间： | 1999-07-05 |
STUDY ON THE CORRELATION BETWEEN COMPATIBLE AND INCOMPATIBLE ISOPARAMETRIC ELEMENTS |
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| LU Xiao-Yang ,SHI Bao-Jun,CEN Zhang-Zhi,LU Xiao-Li. STUDY ON THE CORRELATION BETWEEN COMPATIBLE AND INCOMPATIBLE ISOPARAMETRIC ELEMENTS[J]. Engineering Mechanics, 2001, 18(1): 36-40 | |
| Authors: | LU Xiao-Yang SHI Bao-Jun CEN Zhang-Zhi LU Xiao-Li |
| Affiliation: | LU Xiao-Yang 1,SHI Bao-Jun1,CEN Zhang-Zhi2,LU Xiao-Li3 |
| Abstract: | In this paper, the concept of generalized degree of freedom is proposed according to the translation equations of displacements of compatible isoparametric elements. The correlation between compatible and incompatible isoparametric elements was proved by applying some restrictions to the generalized degrees of freedom. Thus, it is elucidated that the essence of inner degrees of freedom of incompatible elements is the degeneration of generalized degrees of freedom, and the incompatible elements are the special case of compatible elements. |
| Keywords: | compatible isoparametric element incompatible isoparametric element correlation generalized degrees of freedom inner degrees of free8 |
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