Global bifurcations and chaos in a harmonically excited and undamped circular plate
From MaRDI portal
Publication:842080
DOI10.1007/s11071-006-9039-7zbMath1180.74033OpenAlexW2013445600MaRDI QIDQ842080
Publication date: 22 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-9039-7
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
Related Items
Multi-pulse orbits and chaotic dynamics in an imperfect circular plate ⋮ Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes ⋮ Global bifurcations of a simply supported rectangular metallic plate subjected to a transverse harmonic excitation ⋮ Multi-pulse orbits and chaotic dynamics of a symmetric cross-ply composite laminated cantilever rectangular plate ⋮ Multi-pulse jumping orbits and homoclinic trees in motion of a simply supported rectangular metallic plate ⋮ Orbits homoclinic to resonances in a harmonically excited and undamped circular plate ⋮ THE STUDY ON THE MIDSPAN DEFLECTION OF A BEAM BRIDGE UNDER MOVING LOADS BASED ON SD OSCILLATOR ⋮ Global bifurcations and chaos in externally excited cyclic systems ⋮ Multi-pulse chaotic motions of high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate ⋮ Global bifurcations and chaos of a composite laminated cylindrical shell in supersonic air flow
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local and global bifurcations in parametrically excited vibrations of nearly square plates
- Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed
- A renormalization approach to invariant circles in area-preserving maps
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Global bifurcations and chaos. Analytical methods
- Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
- Subharmonic travelling waves in a geometrically nonlinear circular plate
- Global bifurcation and chaos in parametrically forced systems with one-one resonance
- Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates
- Non-linear resonances in the forced responses of plates, part II: Asymmetric responses of circular plates
- Combination Resonances of a Circular Plate With Three-Mode Interaction
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
- A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure
