Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials
DOI10.1016/J.CNSNS.2022.106310MaRDI QIDQ6495285
Wentao Zhang, Qihuai Liu, Heng Su, Yufei Chen
Publication date: 30 April 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
quasi-periodicityinvariant curveMoser's twist theoremcylindrical shell vibrationapproximately identical transformation
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative theory for ordinary differential equations (34Cxx)
Cites Work
- On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials
- The stability of the equilibrium of planar Hamiltonian and reversible systems
- Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube
- The finite elastodynamics of hyperelastic thin tubes
- Large amplitude oscillations of thick hyperelastic cylindrical shells
- Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
- Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior
- Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions
- Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure
- Lagrange stability for Duffing-type equations
- Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach
- 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
- The stability of the equilibrium of reversible systems
- Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations
- Modulated amplitude waves with non-trivial phase of multi-component Bose–Einstein condensates in optical lattices
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