Orthotropic curved plates: Symbolic solution for in-plane actions and examples of collinear compression

Recent work on isotropic curved sector plates provided an exact solution that could be used both as a benchmark for numerical methods and as an efficient tool for quick and economical parametric studies. Its present extension to the case of cylindrical orthotrophy shows that similar ‘closed-form’ so...

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Bibliographic Details
Published in:Journal of strain analysis for engineering design 2007-04, Vol.42 (3), p.137-154
Main Authors: Pavlović, M N, Tahan, N, Kotsovos, M. D
Format: Article
Language:English
Subjects:
Benchmarks
Compressing
Design engineering
Economics
Exact solutions
Fourier analysis
Fourier series
Numerical methods
Plates
Shear strain
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Summary:Recent work on isotropic curved sector plates provided an exact solution that could be used both as a benchmark for numerical methods and as an efficient tool for quick and economical parametric studies. Its present extension to the case of cylindrical orthotrophy shows that similar ‘closed-form’ solutions require the formal consideration of four possible regimes and these are fully listed. Although the first of these is likely to be of main practical interest, any of the remaining three cases might become relevant in special instances of orthotrophy combined with specific term numbers in the Fourier series solutions on which the method is based. Illustrative examples are given by reference to the problem of collinear compression.
ISSN:0309-3247
2041-3130
DOI:10.1243/03093247JSA235