Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory

W Zhang, J Yang, Y Hao - Nonlinear Dynamics, 2010 - Springer
In this paper, an analysis on the nonlinear dynamics and chaos of a simply supported
orthotropic functionally graded material (FGM) rectangular plate in thermal environment and …

Nonlinear oscillations, bifurcations and chaos of functionally graded materials plate

YX Hao, LH Chen, W Zhang, JG Lei - Journal of Sound and vibration, 2008 - Elsevier
An analysis on the nonlinear dynamics of a simply supported functionally graded materials
(FGMs) rectangular plate subjected to the transversal and in-plane excitations is presented …

Multi-pulse chaotic dynamics in non-planar motion of parametrically excited viscoelastic moving belt

M Yao, W Zhang, JW Zu - Journal of Sound and Vibration, 2012 - Elsevier
This paper investigates the multi-pulse global bifurcations and chaotic dynamics for the
nonlinear, non-planar oscillations of the parametrically excited viscoelastic moving belt …

Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam

W Zhang, F Wang, M Yao - Nonlinear Dynamics, 2005 - Springer
This paper presents the analysis of the global bifurcations and chaotic dynamics for the
nonlinear nonplanar oscillations of a cantilever beam subjected to a harmonic axial …

Detecting multi-pulse chaotic dynamics of high-dimensional non-autonomous nonlinear system for circular mesh antenna

QL Wu, W Zhang, EH Dowell - International Journal of Non-linear …, 2018 - Elsevier
This paper investigates the global bifurcations and multi-pulse jum** chaotic dynamics of
circular mesh antenna. An equivalent continuum circular cylindrical shell is employed to …

Using the extended Melnikov method to study the multi-pulse global bifurcations and chaos of a cantilever beam

W Zhang, MH Yao, JH Zhang - Journal of Sound and Vibration, 2009 - Elsevier
The aim of this paper is to investigate the multi-pulse global bifurcations and chaotic
dynamics for the nonlinear non-planar oscillations of a cantilever beam subjected to a …

Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness

W Zhang, JW Zu, FX Wang - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, we investigate the global bifurcations and chaotic dynamics in the rotor-active
magnetic bearings (AMB) system with 8-pole legs and time-varying stiffness. From the …

Complicated nonlinear responses of a simply supported FGM rectangular plate under combined parametric and external excitations

W Zhang, Y Hao, X Guo, L Chen - Meccanica, 2012 - Springer
In this paper, we use the asymptotic perturbation method based on the Fourier expansion
and the temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of …

The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate

W Zhang, JH Zhang, MH Yao - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
The extended Melnikov method, which was used to solve autonomous perturbed
Hamiltonian systems, is improved to deal with high-dimensional non-autonomous nonlinear …

Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt

W Zhang, M Yao - Chaos, Solitons & Fractals, 2006 - Elsevier
In this paper, the Shilnikov type multi-pulse orbits and chaotic dynamics of parametrically
excited viscoelastic moving belt are studied in detail. Using Kelvin-type viscoelastic …