Exact solution to the problem of forced large amplitude radial oscillations of a thin hyperelastic tube
From MaRDI portal
Publication:2546794
DOI10.1016/0020-7462(71)90055-2zbMath0218.73058OpenAlexW2072384510MaRDI QIDQ2546794
Publication date: 1971
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7462(71)90055-2
Related Items (16)
On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell ⋮ Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions ⋮ A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ Nonlinearity from linearity: the Ermakov-Pinney equation revisited ⋮ Lie-theoretical generalization and discretization of the Pinney equation ⋮ On Ermakov-Painlevé II systems. Integrable reduction ⋮ Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ On the time-dependent oscillator and the nonlinear realizations of the Virasoro group ⋮ Nonlinear periodic oscillation of a cylindrical microvoid centered at an isotropic incompressible Ogden cylinder ⋮ Stability and periodicity in coupled Pinney equations ⋮ Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube ⋮ Transverse waves in nonlinearly elastic solids and the Milne—Pinney (or Ermakov) equation ⋮ The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability ⋮ Solution of nonlinear partial differential equations from base equations ⋮ Group invariance of a neo-Hookean system: Incorporation of stretch change
This page was built for publication: Exact solution to the problem of forced large amplitude radial oscillations of a thin hyperelastic tube