A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates

A Shooshtari, S Razavi - Composite Structures, 2010 - Elsevier
In this paper, the nonlinear equations of motion for laminated composite rectangular plates
based on first order shear deformation theory, which include shear deformation and rotary …

Vibration analysis of functionally graded carbon nanotube-reinforced composite elliptical plates using a numerical strategy

R Ansari, J Torabi, AH Shakouri - Aerospace Science and Technology, 2017 - Elsevier
A numerical meshless discretization technique is developed within the framework of
variational formulation to present the linear free vibration analysis of functionally graded …

Analysis of free non-linear vibrations of a viscoelastic plate under the conditions of different internal resonances

YA Rossikhin, MV Shitikova - International Journal of Non-Linear …, 2006 - Elsevier
Non-linear free damped vibrations of a rectangular plate described by three non-linear
differential equations are considered when the plate is being under the conditions of the …

Non-linear free vibration analysis of a thick sandwich panel with an electrorheological core

M Keshavarzian, MM Najafizadeh, K Khorshidi… - Journal of Vibration …, 2022 - Springer
Background Free vibrations with high amplitude behave mainly nonlinearly, which can be
dangerous to structures. Thus, they must be controlled effectively. We used an improved …

Geometrically nonlinear forced vibrations of the symmetric rectangular honeycomb sandwich panels with completed clamped supported boundaries

Y Li, F Li, Y He - Composite structures, 2011 - Elsevier
Geometrically nonlinear forced vibrations of symmetric rectangular honeycomb sandwich
panels with clamped supported boundaries at the four edges are investigated using the …

Moment stability of viscoelastic system influenced by non-Gaussian colored noise

W Jiancheng, L Xianbin - Journal of Sound and Vibration, 2021 - Elsevier
This paper investigates moment stability of the plate with viscoelasticity, and determinates
the expressions of p th moment Lyapunov exponents, for a finite value of p. Although, both …

On the general theory of chaotic dynamics of flexible curvilinear Euler–Bernoulli beams

J Awrejcewicz, AV Krysko, NA Zagniboroda… - Nonlinear …, 2015 - Springer
We present chaotic dynamics of flexible curvilinear shallow Euler–Bernoulli beams. The
continuous problem is reduced to the Cauchy problem by the finite-difference method of the …

Regular and chaotic dynamics of flexible plates

J Awrejcewicz, EY Krylova, IV Papkova… - Shock and …, 2014 - Wiley Online Library
Nonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and
time periodic load distributed on the plate perimeter is investigated. Applying both the …

Nonlinear dynamic response of a stiffened plate with four edges clamped under primary resonance excitation

N Ma, R Wang, P Li - Nonlinear Dynamics, 2012 - Springer
An approach is presented to study the nonlinear forced vibration of a stiffened plate. The
stiffened plate is divided into one plate and some stiffeners, with the plate considered to be …

Primary parametric resonance–primary resonance response of stiffened plates with moving boundary conditions

NJ Ma, RH Wang, Q Han - Nonlinear Dynamics, 2015 - Springer
An approach is presented to investigate the nonlinear vibration of stiffened plates. A
stiffened plate is divided into one plate and some stiffeners, with the plate considered to be …