| 基于分区广义变分原理的板壳单元 |
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| 引用本文： | 殷雅俊,谢志成. 基于分区广义变分原理的板壳单元[J]. 清华大学学报(自然科学版), 1989, 0(2) |
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| 作者姓名： | 殷雅俊 谢志成 |
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| 作者单位： | 工程力学系(殷雅俊)，工程力学系(谢志成) |
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| 摘 要： | 考察了分区广义变分原理在构造板壳有限元中的应用、由于放松了单元交界上的连续性要求，用分区广义变分原理构造的板壳单元，不仅具有自由度少，计算工作量小的优点，而且有效地改善了单元的收敛性能，提高了有限元解的精度。算例表明，分区广义变分原理在板壳有限元中有良好的应用前景。
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| 关 键 词： | 变分原理 泛函 板 壳 有限元 |
Finite Elements in Plates and Shells Based on Piecewise Generalized Variational Principle |
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| Yin Yajun,Xie Zhicheng. Finite Elements in Plates and Shells Based on Piecewise Generalized Variational Principle[J]. Journal of Tsinghua University(Science and Technology), 1989, 0(2) |
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| Authors: | Yin Yajun Xie Zhicheng |
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| Affiliation: | Department of Engineering Mechanics |
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| Abstract: | This paper is confined to the study of FEM. in plates and shells based on piecewised generalized variational principle. According to this principle, the continuity requirement between interelement is relaxed, and the modified elements based on this principle have the advantages of less degree of freedom, good property of convergence and enough accuracy for practical application. Several typical examples are presented. The results indicate the effectiveness of the modified finite elements. |
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| Keywords: | variational principle functional plates shells finite element method |
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