Geometrically nonlinear finite-element models for thin shells with geometric imperfections |
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Authors: | E A Gotsulyak O K Luk’yanchenko E V Kostina I G Garan |
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Institution: | 1.National University of Construction and Architecture,Kyiv,Ukraine |
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Abstract: | A finite-element method to analyze the stress–strain state and stability of thin shells with geometric imperfections is proposed.
An arbitrary curvilinear finite element with vector approximation of the displacement function is used. To solve the systems
of nonlinear algebraic equations by iteration methods, linearized stiffness matrices of finite elements and residual and load
vectors are formed. The stress–strain state of a thin-walled shell with real geometric imperfections under surface pressure
and axial compression is analyzed. The effect of geometric imperfections on the critical combination of loads is evaluated |
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