MULTIPULSE SHILNIKOV ORBITS AND CHAOTIC DYNAMICS FOR NONLINEAR NONPLANAR MOTION OF A CANTILEVER BEAM
From MaRDI portal
Publication:5474383
DOI10.1142/S0218127405014398zbMath1093.74530MaRDI QIDQ5474383
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)
Related Items (14)
Multi-pulse orbits and chaotic dynamics of a symmetric cross-ply composite laminated cantilever rectangular plate ⋮ Multi-pulse chaotic motions of functionally graded truncated conical shell under complex loads ⋮ Viscoelastic string-beam coupled vibro-impact system: modeling and dynamic analysis ⋮ Multi-pulse jumping orbits and chaos of a fluid-conveying functionally graded cylindrical shell under piezoelectric and parametric excitations ⋮ Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate ⋮ Multi-pulse chaotic dynamics of six-dimensional non-autonomous nonlinear system for a composite laminated piezoelectric rectangular plate ⋮ Quantum dynamics for Al-doped graphene composite sheet under Hydrogen atom impact ⋮ THE STUDY ON THE MIDSPAN DEFLECTION OF A BEAM BRIDGE UNDER MOVING LOADS BASED ON SD OSCILLATOR ⋮ Nonlinear vibrations of blade with varying rotating speed ⋮ Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam ⋮ The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate ⋮ NONLINEAR RESPONSES OF A STRING-BEAM COUPLED SYSTEM WITH FOUR-DEGREES-OF-FREEDOM AND MULTIPLE PARAMETRIC EXCITATIONS ⋮ USING ENERGY-PHASE METHOD TO STUDY GLOBAL BIFURCATIONS AND SHILNIKOV TYPE MULTIPULSE CHAOTIC DYNAMICS FOR A NONLINEAR VIBRATION ABSORBER ⋮ Investigation on mode-coupling parametric vibrations and instability of spillway radial gates under hydrodynamic excitation
Uses Software
Cites Work
- Vibration analysis on a thin plate with the aid of computation of normal forms
- Global dynamics of the cable under combined parametrical and external excitations
- Simultaneous combination and 1:3:5 internal resonances in a parametrically excited beam-mass system
- Dynamic stability and response of fluttered beams subjected to random follower forces
- Large free vibrations of a beam carrying a moving mass
- Nonlinear non-planar parametric responses of an inextensional beam
- Nonlinear nonplanar dynamics of parametrically excited cantilever beams
- Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
- Non-linear non-planar resonant oscillations in fixed-free beams with support asymmetry
- Out-of-plane vibrations of a beam including non-linear inertia and non- linear curvature effects
- On the existence of chaos in a class of two-degree-of-freedom, damped, strongly parametrically forced mechanical systems with broken \(O(2)\) symmetry
- A Melnikov method for homoclinic orbits with many pulses
- Orbits homoclinic to resonances: The Hamiltonian case
- Periodic behavior of a cantilever beam with end mass subjected to harmonic base excitation
- On the transfer of energy between widely spaced modes in structures
- Global bifurcations in parametrically excited systems with zero-to-one internal resonance
- Multipulse orbits in the motion of flexible spinning discs
- \(N\)-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
- Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schrödinger equation
- Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance
- Homoclinic orbits in the dynamics of resonantly driven coupled pendula
- Periodic and homoclinic motions in forced, coupled oscillators
- Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam
- Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam
- Multi-bump orbits homoclinic to resonance bands
- Global dynamics of a parametrically and externally excited thin plate
- Comparison of analytical techniques for nonlinear vibrations of a parametrically excited cantilever
This page was built for publication: MULTIPULSE SHILNIKOV ORBITS AND CHAOTIC DYNAMICS FOR NONLINEAR NONPLANAR MOTION OF A CANTILEVER BEAM