| 陈万吉,杨晓林.广义协调元的变分基础及几何不变性[J].计算力学学报,1992,9(3): |
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| 广义协调元的变分基础及几何不变性 |
| On the Basis of Variational Principle and the Invariance of Generalized Conforming Element |
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| DOI：10.7511/jslx19923038 |
| 中文关键词: 广义协凋元,修正的势能原理,单元节点号编宁不变性,四边形薄板单元 |
| 英文关键词:generalized conforming element, modified potential principle, invariance of nodenumbering sensitivity, quadrilateral thin plate bending element |
| 基金项目:高等学校博士学科点专项科研基金 |
| 陈万吉 杨晓林 |
大连理工大学工程力学研究所 116023
(陈万吉)
，大连理工大学工程力学研究所 116023(杨晓林)
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| 中文摘要: |
| 本文根据修正的势能原理推出了广义协调元列式。从而为广义协调元提供了一种变分依据。同时讨论了广义协调元的几何不变性,即单元与其节点号编序的相关性问题。在此基础上推导了一个任意四边形薄板弯曲单元,数值结果表明该单元能保证收敛,具有与单元节点号编序无关性,与现有的同类单元相比,具有较高的精度。 |
| 英文摘要: |
| In this paper the formulation of the generalized conforming element is derived based on the modified potential principle and thus a variational interpretation is given. The invariance cf node numbering sensitivity (N-invariance) is also discussed. A new quadrilateral thin plate bending element is presented. The numerical results are shown that the proposed element has N-invariance and convergence and high accuracy. |
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