Oscillations of a longitudinally reinforced orthotropic cylindrical shell filled with a viscous fluid
DOI:
https://doi.org/10.15587/1729-4061.2015.44393Keywords:
oscillations, shell, ideal fluid, tension, viscose fluid, reinforcement, variation(al) principleAbstract
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.
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Copyright (c) 2015 Rahim Guliyev, Кенуль Ариф Новрузова
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