Multipulse Orbits and Chaotic Dynamics of an Aero-Elastic FGP Plate Under Parametric and Primary Excitations

DOI10.1142/S021812741750050XzbMath1366.74038OpenAlexW2613484243MaRDI QIDQ5275058

Fengxian An, Fangqi Chen

Publication date: 10 July 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741750050x

zbMATH Keywords

chaotic dynamicsextended Melnikov methodaero-elastic FGP platemultipulse orbits

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Resonant Chaotic Dynamics of a Symmetric Cross-Ply Composite Laminated Plate Under Transverse and In-Plane Excitations ⋮ Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations ⋮ Double delayed feedback control of a nonlinear finance system ⋮ Analysis of nonlinear vibrations and dynamic responses in a trapezoidal cantilever plate using the Rayleigh-Ritz approach combined with the affine transformation ⋮ On Nonlinear Motions of Two-Degree-of-Freedom Nonlinear Systems with Repeated Linearized Natural Frequencies

Cites Work

• Global bifurcations and homoclinic trees in motion of a thin rectangular plate on a nonlinear elastic foundation
• Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate
• Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt
• The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
• Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory
• Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation
• A Melnikov method for homoclinic orbits with many pulses
• An efficient higher-order zigzag theory for laminated plates subjected to thermal loading
• \(N\)-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
• Second-order approximation of angle-ply composite laminated thin plate under combined excitations
• Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a honeycomb sandwich plate
• Multi-pulse chaotic dynamics of six-dimensional non-autonomous nonlinear system for a composite laminated piezoelectric rectangular plate
• Complicated nonlinear responses of a simply supported FGM rectangular plate under combined parametric and external excitations
• Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate
• Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam
• SHILNIKOV-TYPE MULTIPULSE ORBITS AND CHAOTIC DYNAMICS OF A PARAMETRICALLY AND EXTERNALLY EXCITED RECTANGULAR THIN PLATE
• PERIODIC AND CHAOTIC OSCILLATIONS OF A COMPOSITE LAMINATED PLATE USING THE THIRD-ORDER SHEAR DEFORMATION PLATE THEORY
• FURTHER STUDIES ON NONLINEAR OSCILLATIONS AND CHAOS OF A SYMMETRIC CROSS-PLY LAMINATED THIN PLATE UNDER PARAMETRIC EXCITATION
• Chaotic dynamic analysis of viscoelastic plates

This page was built for publication: Multipulse Orbits and Chaotic Dynamics of an Aero-Elastic FGP Plate Under Parametric and Primary Excitations