On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell

DOI10.1177/1081286502007001228zbMath1042.74022OpenAlexW2065306373MaRDI QIDQ4789712

No author found.

Publication date: 14 April 2003

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286502007001228

zbMATH Keywords

Mooney-Rivlin materialErmakov-Pinney equation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25)

Related Items (2)

Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions ⋮ Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note about three-dimensional exact dynamical solutions for neo-Hookean materials
• The dynamical behaviour of nonlinear elastic spherical shells
• On a class of elastodynamic motions in a neo-Hookean elastic solid
• Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
• Galerkin's solution to a severely non-linear problem of finite elastodynamics
• Exact solution to the problem of forced large amplitude radial oscillations of a thin hyperelastic tube
• Large amplitude oscillations of a tube of incompressible elastic material
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Nonlinear boundary value problems in science and engineering
• Symmetries and differential equations

This page was built for publication: On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell