A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates

Qian Yuan-yao

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(8): 733-742

Qian Yuan-yao. A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1987, 8(8): 733-742.

Citation:

Qian Yuan-yao. A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1987, 8(8): 733-742.

Citation:

Qian Yuan-yao. A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1987, 8(8): 733-742.

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A Hybrid/Mixed Model Finite Element Analysis for Eigenvalue Problem of Moderately Thick Plates

Qian Yuan-yao

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1985-06-30
Publish Date: 1987-08-15

Abstract

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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References(12)

References

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