Abstract
Simultaneous, finite, gyroscopic and radial oscillations of long, circular cylindrical tubes are investigated. The material of the tube is assumed to be homogeneous, isotropic, hyperelastic and incompressible. The theory of finite elasticity is used in the formulation of the problem. The motion is started by a sudden release of the tube which is subjected to an initial finite gyroscopic twist. The condition of material incompressibility is used to reduce the governing equations into a set of two non-linear, integro-differential equations where the radial motion is characterized by that of a single degree of freedom system. These equations, together with the appropriate initial and boundary conditions, are solved numerically by a finite element scheme.
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