Non-linear bending analysis of super elliptical thin plates

In this paper, non-linear bending analysis is first presented for super elliptical thin plates with simply supported edge and clamped edge based on classical plate theory. Approximate solutions of super elliptical thin plates are obtained by Ritz method, convergence studies are discussed, and the va...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2013-10, Vol.55, p.180-185
Main Author: Zhang, Da-Guang
Format: Article
Language:English
Subjects:
Approximation
Bending
Boundary conditions
Convergence
Non-linear bending
Nonlinearity
Plate theory
Ritz method
Super elliptical plates
Thin plates
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Summary:In this paper, non-linear bending analysis is first presented for super elliptical thin plates with simply supported edge and clamped edge based on classical plate theory. Approximate solutions of super elliptical thin plates are obtained by Ritz method, convergence studies are discussed, and the validity can be confirmed by comparison with related researchers' results. It can be observed that the characteristics of non-linear bending are significantly influenced by different boundary conditions, ratio of major to minor axis, as well as the power of the super ellipse. •Non-linear bending analyses are first presented for super elliptical thin plates.•Ritz method is adopted.•Convergence studies are discussed.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2013.06.006