The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates

Cheng Changiun; Yang Xiao

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Cheng Changiun, Yang Xiao. The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates[J]. Applied Mathematics and Mechanics, 1996, 17(2): 105-114.

Citation:

Cheng Changiun, Yang Xiao. The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates[J]. Applied Mathematics and Mechanics, 1996, 17(2): 105-114.

Citation:

Cheng Changiun, Yang Xiao. The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates[J]. Applied Mathematics and Mechanics, 1996, 17(2): 105-114.

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The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates

Department of Mechanics, Lanzbou University, Lanzbou, Gansu 730000, P. R. China

Received Date: 1995-02-22
Publish Date: 1996-02-15

Abstract

Abstract

On foe basis of the Kirchoff-Kármán hypothses for the nonlinear bending of thin plates, the three kinds of boundary value problems of nonlinear analysis for perforated fhin plates are presented under the differenr in-plane boundary conditions and the corresponding generalized varialional principles are established. One can see that all mathematical models presented in this paper are completely new ones and differ from the ordinary von Karman theory. These mathematical models can be applied to the nonlinear analysis and the Stability analysis of perforaled thin plates in arbitraryplane boundary conditions.
- perforated thin plate,
- non-linear analysis,
- mathematical model,
- generalized variational principle

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References(13)

References

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