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Journal of Applied Mechanics and Technical Physics

2002 year, number 4

Nonlinear deformation and stability of noncircular cylindrical shells under internal pressure and axial compression

L. P. Zheleznov and V. V. Kabanov
Chaplygin Siberian Aviation Institute, Novosibirsk 630051
Pages: 617-621

Abstract

Stability analysis of noncircular shells
is performed with allowance for
nonlinear subcritical deformation.
Explicit expressions for the rigid
displacements of elements of noncircular
cylindrical shells are obtained and used
to construct shape functions of an
effective quadrilateral finite element
of natural curvature. A finite-element
algorithm for solving problems of
nonlinear deformation and stability of
shells is developed. Stability problem
of an elliptic cylindrical shell is
considered. The effect of the
ellipticity and subcritical nonlinear
deformation of the shell on the critical
load is studied. Results obtained are
compared with available experimental
data.