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Boundary Value Problems — Orthotropic Shells

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Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

Abstract

In this Chapter we consider a closed circle cylindrical shell supported in two principal directions. Supporting ribs are the one-dimensional elastic elements, situated uniformly with the same constant distance between them. The boundary value problems of the theory of closed circular cylindrical shells, eccentrically reinforced in the two principal directions, are investigated within the framework of the structurally orthotropic scheme. The supporting ribs are placed dense enough and we can homogenize their stiffness and mass characteristics. For the whole shell, the hypothesis about undeformable normal is valid. We assume that the ribs’ height is small in comparison with the curvature radius. There is no interaction between the two ribs lying in two directions.

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© 2004 Springer-Verlag Berlin Heidelberg

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Andrianov, I., Awrejcewicz, J., Manevitch, L.I. (2004). Boundary Value Problems — Orthotropic Shells. In: Asymptotical Mechanics of Thin-Walled Structures. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45246-1_5

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  • DOI: https://doi.org/10.1007/978-3-540-45246-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07415-8

  • Online ISBN: 978-3-540-45246-1

  • eBook Packages: Springer Book Archive

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