Free vibrations of laminate plates with viscoelastic layers using the refined zig-zag theory – Part 2. Numerical analysis

2021 ◽  
pp. 114550
Author(s):  
Przemysław Litewka ◽  
Roman Lewandowski ◽  
Przemysław Wielentejczyk
Keyword(s):  
Numerical Analysis ◽  
Free Vibrations ◽  
Viscoelastic Layers

Numerical analysis of free vibrations of rectangular plates based on different approaches

2019 ◽  
pp. 33-41
Author(s):  
Oleksandr Grigorenko ◽  
◽  
Maksym Borysenko ◽  
Olena Boychuk ◽  
Volodymyr Novytskyi ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Free Vibrations ◽  
Rectangular Plates

One approach to numerical analysis of free vibrations of thin-walled structures

1982 ◽  
Vol 18 (11) ◽  
pp. 986-993
Author(s):  
Ya. M. Grigorenko ◽  
E. I. Bespalova ◽  
A. B. Kitaigorodskii ◽  
A. I. Shinkar'
Keyword(s):  
Numerical Analysis ◽  
Free Vibrations ◽  
Thin Walled Structures ◽  
Thin Walled

Numerical Simulation of Vortex-Induced Vibration and Torsional Flutter of Rectangular Cross-Sections by k-ε Model

2003 ◽  
Author(s):  
Kenji Shimada ◽  
Takeshi Ishihara
Keyword(s):  
Numerical Simulation ◽  
Numerical Analysis ◽  
Cross Sections ◽  
Present Method ◽  
Free Vibrations ◽  
Shear Layer Instability ◽  
Vortex Induced Vibration ◽  
Vortex Induced Vibrations ◽  
Karman Vortex ◽  
Occurrence Mechanism

In this paper, torsional aeroelastic vibration is investigated by wind tunnel experiment and numerical analysis which incorporates 2-dimensional modified k-ε model. Experimental results shows that the torsional vortex-induced vibration are classified into several groups. Harmonics and of the Karman-vortex or impinging-shear-layer-instability are found to be involved with the occurrence mechanism of these instabilities. Two types of rectangular cross-sections are chosen to examine the applicability of the numerical method. Unsteady wind forces, pressure distribution and free vibrations are compared with experiments. Although the present method is 2-dimensional, vortex-induced vibrations and torsional flutter were well simulated by the method.

Modelling and experimental validation of 1-degree-of-freedom impacting oscillator

2018 ◽  
Vol 233 (4) ◽  
pp. 418-430 ◽  
Author(s):  
Krzysztof Witkowski ◽  
Grzegorz Kudra ◽  
Grzegorz Wasilewski ◽  
Jan Awrejcewicz
Keyword(s):  
Numerical Analysis ◽  
Mathematical Modelling ◽  
Experimental Validation ◽  
Free Vibrations ◽  
Degree Of Freedom ◽  
Stepper Motor ◽  
Model Parameters ◽  
Linear Damping ◽  
The Impact ◽  
Experimental Rig

In this article, a mechanical 1-degree-of-freedom oscillator with harmonic forcing and impacts was analysed both numerically and experimentally. A special attention was paid to the mathematical modelling and realistic numerical simulations of a real system. The developed experimental rig consists of a cart mounted on a guide, connected with springs to the support, and equipped with one-sided stiff limiter of motion. The cart was excited by an unbalanced disc mounted on the shaft of a stepper motor. Modelling was focused on the mathematical description of the impact process, where soft obstacle with Hertzian stiffness was assumed and different forms of non-linear damping were tested, including original modifications of the already used models. Model parameters are identified based on two experimental solutions corresponding to free vibrations – with and without impacts. Then, the model was validated by means of experimental and numerical analysis of bifurcation dynamics of the forced system.

scholarly journals Free Vibrations of a Series of Beams Connected by Viscoelastic Layers

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
S. Graham Kelly ◽  
Clint Nicely
Keyword(s):  
Exact Solution ◽  
Free Vibrations ◽  
Geometric Properties ◽  
End Conditions ◽  
Viscoelastic Layers

An exact solution for free vibrations of a series of uniform Euler-Bernoulli beams connected by Kelvin-Voigt is developed. The beams have the same length and end conditions but can have different material or geometric properties. An example of five concentric beams connected by viscoelastic layers is considered.

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