Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube

DOI10.1016/J.JMAA.2006.12.031zbMath1114.74023OpenAlexW2057091505MaRDI QIDQ886186

G. H. Maluleke, D. P. Mason

Publication date: 26 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.031

zbMATH Keywords

Lie point symmetryErmakov-Pinney equationgeneralised Mooney-Rivlin material

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Nonlinear dynamics of pipes composed of Mooney-Rivlin hyperelastic materials conveying unsteady fluid flow ⋮ Nonlinear periodic oscillation of a cylindrical microvoid centered at an isotropic incompressible Ogden cylinder ⋮ Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials

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