Analysis of nonlinear deformation and stability of reinforced elliptic cylindrical shells under bending with internal pressure |
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Authors: | D V Boiko L P Zheleznov V V Kabanov |
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Institution: | 1.Chaplygin Siberian Scientific Research Institute of Aviation (SibNIA),Novosibirsk,Russia |
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Abstract: | A finite element statement of solving problems on stability of reinforced elliptic cylindrical shells taking into account
momentness and nonlinearity of their subcritical stress strain state is presented. The explicit expressions for displacements
of noncircular cylindrical shell elements as rigid bodies are determined by integrating the equations obtained by equating
the components of linear strains to zero. These expressions were used to construct the form functions for an efficient quadrilateral
finite element of natural curvature. An efficient numerical algorithm of nonlinear deformation and stability of shells was
developed. The stability of reinforced elliptic cylindrical shells under combined loading by bending moment, transverse boundary
force and internal pressure is analyzed. We also examine how the critical loads are affected by the strain nonlinearity and
ellipticity of shell deformation at the subcritical stage. |
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