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Reinforced shells

  • Leonid I. Manevitch
  • Victor G. Oshmyan
  • Igor V. Andrianov
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

As above we accept in this case the assumptions about line contact and the rigid coupling of the ribs with the skin. The eccentricity of the stringers arrangement is taken into account. We consider the middle surface of the skin as the basic surface [143], so that the rib rigidity depends on its arrangement. The corresponding system of equilibrium equations for the stringer cylindrical shell has the form:
$${L_{01}}(\mathop U\limits^ - ) \equiv {L_1}(\mathop U\limits^ - ) + {q_1}\Phi (\eta )\left[ {1 + \beta \Phi (\eta )} \right]u,\xi \xi + 0.5(1 - v){u_{,\eta \eta }} + 0.5(1 + v){v_{,\eta \xi }} - v{w_{,\xi }} + \gamma \Phi (\eta ){w_{,\xi \xi \xi }} = $$
$${L_2}(\mathop U\limits^ - ) \equiv {v_{,\eta \eta }} + 0.5(1 - v){v_{,\xi \xi }} + 0.5(1 + v){u_{,\eta \xi }} - {w_{,\eta }} = {\mathop q\limits^ - _y},]$$
(6.1)
$${L_{03}}(\mathop U\limits^ - ) \equiv {L_3}(\mathop U\limits^ - ) + {q_3}\Phi (\eta ) \equiv (1 + {a^2}{\nabla ^4})w - {v_{,\eta }} - v{u_{,\xi }} + {(\alpha {w_{,\xi }} + \gamma u)_{,\xi \xi \xi }}\Phi (\eta ) = {\mathop q\limits^ - _z}.$$
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Keywords

Cylindrical Shell Edge Effect Conical Shell Middle Surface Conjugation Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Leonid I. Manevitch
    • 1
  • Victor G. Oshmyan
    • 2
  • Igor V. Andrianov
    • 1
  1. 1.Institute of Chemical PhysicsMoscowRussia
  2. 2.Institute of Chemical PhysicsRussia

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