Abstract
On the basis of the energy-consistent direction in the theory of shells, the deflected mode of circular cylindrical shells, considered as three-dimensional bodies, is studied. At that, two-dimensional equations of the boundary problem, obtained on the basis of the Lagrange principle by means of expansion of the sought relocations in polynomial series regarding the normal coordinate, are used. Equations are presented for the case when the approximation of the relocations in respect of the shell thickness retains summands that are by an order of magnitude higher than that in the Kirchhoff-Love classical theory of shells. The boundary problem formulated is solved with the help of the Laplace transform. As an example, a shell under the action of local loads is considered, for which the deflected mode is determined and a comparison is performed with the results obtained in accordance with the classical theory.
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