Simultaneous, finite, gyroscopic and radial oscillations of hyperelastic cylindrical tubes

DOI10.1016/0020-7225(84)90072-7zbMath0529.73015OpenAlexW1987914856MaRDI QIDQ787714

Aybar Ertepinar, Turgut Tokdemir

Publication date: 1984

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(84)90072-7

zbMATH Keywords

incompressibleappropriate initial and boundary conditionshomogeneous, isotropic, hyperelasticinitial finite gyroscopic twistlong, circular cylindrical tubesradial motion characterized by that of single degree of freedom systemreduce governing equations into set of two nonlinear, integro-differential equationssimultaneous, finite, gyroscopic and radial oscillationssudden release of tube

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (2)

Finite azimuthal shear motions of a transversely isotropic compressible elastic and prestressed tube ⋮ Finite amplitude, free vibrations of an axisymmetric load supported by a highly elastic tubular shear spring

Cites Work

• Unnamed Item
• Finite deformations of compressible hyperelastic tubes subjected to circumferential shear
• On free oscillations of elastic incompressible bodies in finite shear
• Large amplitude oscillations of a tube of incompressible elastic material
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity

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