Boundary Value Problems — Orthotropic Shells

  • I. Andrianov
  • J. Awrejcewicz
  • L. I. Manevitch
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


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.


Cylindrical Shell Edge Effect Fast Variation Stability Equation Shallow Shell 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • I. Andrianov
    • 1
    • 2
  • J. Awrejcewicz
    • 3
  • L. I. Manevitch
    • 4
  1. 1.KölnGermany
  2. 2.Pridneprovskaya State Academy of Civil Engineering and ArchitectureDnepropetrovkUkraine
  3. 3.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  4. 4.N. N. Semenov Institute of Chemical Physics RASMoscowRussian Federation

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