Stability of anisotropic shells of revolution of positive or negative Gaussian curvature |
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Authors: | A V Boriseiko N B Zhukova N P Semenyuk V M Trach |
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Institution: | 1.S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine,Kyiv,Ukraine;2.National University of Water Management and Natural Resources,Rivne,Ukraine |
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Abstract: | A mixed variational principle is derived by Hamilton’s method from the principle of minimum potential energy for thin anisotropic
shells of revolution and is then used to derive a normal system of equations with complex coefficients. Discrete orthogonalization
is used to solve this homogeneous system and the nonlinear system of equations that describes the precritical state of shells.
A shell generated by revolving a circular arc around the axis parallel to its chord is analyzed for stability. The solution
is compared with the approximate solution obtained assuming that the precritical state is membrane. It is established that
the approximate problem formulation gives incorrect results for shells of negative Gaussian curvature |
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