A hybrid/mixed model finite element analysis for eigenvalue problems for moderately thick plates (Q1091853)
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scientific article; zbMATH DE number 4012075
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hybrid/mixed model finite element analysis for eigenvalue problems for moderately thick plates |
scientific article; zbMATH DE number 4012075 |
Statements
A hybrid/mixed model finite element analysis for eigenvalue problems for moderately thick plates (English)
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1987
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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 \(C^ 0\)-continuity is derived. No lockling phenomenon is observed. Linear interpolation is used for all independent unknown functions. Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positive definite. The calculated results show that the method proposed is simple, reliable and satisfactory.
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C(sup 0)-continuity
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free vibration problems
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moderately thick plate
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hybrid/mixed finite element model
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Reissner principle
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Linear interpolation
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displacement generalized eigenvalue equation
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stiffness matrix
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symmetric
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positive definite
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0.9193113
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0.91343737
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0.9029475
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0.8940737
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0.8923265
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0.89082503
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0.89079744
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0.88994455
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0.88697195
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