Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions

DOI10.1016/S1007-5704(03)00112-6zbMath1073.35204OpenAlexW2013095783MaRDI QIDQ1886393

D. P. Mason, N. Roussos

Publication date: 18 November 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00112-6

zbMATH Keywords

Lie point symmetryErmakov-Pinney equationHyperelasticCylindrical and spherical shellsStrain-energy function

Mathematics Subject Classification ID

Shells (74K25)

Related Items (2)

Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube ⋮ Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials

Cites Work

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• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
• Nonlinear boundary value problems in science and engineering

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