Özet:

The paper is devoted to variational approach to the problem of free oscillations of a longitudinally reinforced orthotropic cylindrical shell filled with a viscous fluid. The Ostrogradskii-Hamilton variational principle has laid the basis for the devised and numerically implemented frequency equation on the shell oscillations. The actual fluid loads upon a longitudinally reinforced orthotropic cylindrical shell are determined via the linearized Navier-Stokes equation. The problem of oscillations of the reinforced by longitudinal ribs orthotropic cylindrical shell is reduced to a joint integration of fluid membrane equations, if the above conditions on the surface of their contact are observed. The contact and boundary conditions reduce the problem to a homogeneous system of linear algebraic equations of the third order. A nontrivial solution of the system of linear algebraic equations of the third order results in a transcendent frequency equation that is numerically implemented. Author Biographies Ализаде Имамали Сейфуллайев, Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics B.Vaxabzade St., 9, Baku, Azerbaijan, AZ1143 Candidate of Physical and Mathematical Sciences

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