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钱源耀 《应用数学和力学(英文版)》1987,(8)
The buckling and free vibration problems of moderately thick plate are considered inthis paper by using the hybrid/mixed finite element model.A modified Reissner principlewhich only requires C~0 continuity is derived.No lockling phenomenon is observed.Linearinterpolation is used for all independent unknown function.Finally a displacementgeneralized eigenvalue equation is obtained,in which the stiffness matrix is symmetric andpositively definite.The calculated results show that the method proposed is simple,reliableand satisfactory. 相似文献
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中厚板特征值问题的杂交/混合有限元分析 总被引:2,自引:0,他引:2
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。 相似文献
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钱源耀 《应用数学和力学(英文版)》1987,8(8):773-783
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. 相似文献
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