中厚板特征值问题的杂交/混合有限元分析 |
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引用本文: | 钱源耀.中厚板特征值问题的杂交/混合有限元分析[J].应用数学和力学,1987,8(8):733-742. |
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作者姓名: | 钱源耀 |
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作者单位: | 上海市应用数学和力学研究所 |
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摘 要: | 本文采用杂交/混合有限元对中厚板的屈曲问题和自由振动问题进行了分析,首先推导了一个修正的Reissner变分原理,它仅要求构造C0类场变量,避免了闭锁现象的产生。所有的场变量皆采用线性插值。最后得到一个矩阵型的位移广义本征值方程,刚度矩阵对称、正定。计算结果表明本文采用的方法简单、可靠,较为令人满意。
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收稿时间: | 1985-06-30 |
A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates |
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Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai |
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Abstract: | The buckling and free vibration problems of moderately thick plate are considered in this paper by using the hybrid/mixed finite element model. A modified Reissner principle which only requires C0 continuity is derived. No lockling phenomenon is observed. Linear interpolation is used for all independent unknown function. Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite. The calculated results show that the method proposed is simple, reliable and satisfactory. |
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