| 段火元.自由边界条件轴对称薄圆柱壳体的混合有限元数值解[J].计算力学学报,1999,16(1):63~72 |
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| 自由边界条件轴对称薄圆柱壳体的混合有限元数值解 |
| Numerical solutions of mixed finite elements for thin axisymmetric cylindrical shell with free edge boundary conditions |
| 修订日期：1997-07-06 |
| DOI：10.7511/jslx19991011 |
| 中文关键词: 自由边界 薄圆柱壳体 混合有限元 轴对称 |
| 英文关键词:free edge,thin axisymmetric cylindrical shell,least squares mixed finite element approximating method, |
| 基金项目: |
| 段火元 |
| ： |
| 摘要点击次数: 1706 |
| 全文下载次数: 8 |
| 中文摘要: |
| 基于文「８」发展的混合结构问题稳定方法的框架，针对自由边界条件轴对称薄圆柱壳体问题，给出了其新型混合有限元计算模型。应用线性元，已证明该模型是强制的，其对称正定代数方程组的条件数Ｏ（ｈ＾－２）。 |
| 英文摘要: |
| Based on the framework of stabilized methods developed by H. YDUAN for mixed variational problems, a new mixed formulation based on Riesz representing operotors is presented for the thin axisymmetric cylindrical shell with free egde boundary conditions. With the linear interpolation element, we show that this new for mulation is coercive, and that the resulted algebraic linear system is symmetric positive definite with spectral condition number O(h -2 ). Moreover, O(h) and O(h 2) are obtained by employing H 1 norm and L 2 norm respectively. Finally, numerical experiments verify the above theoretical results, and in addition indicate that the methodology devised here converges faster than the classical Babuka Brezzi method in the norm of L 2 when the triangulation is coaser but just the same in the case of H 1 norm. |
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