scholarly journals Identification of Magnetorheological Layer Properties by Using Refined Plate Theory

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1601
Author(s):  
Ivan Kernytskyy ◽  
Eugeniusz Koda ◽  
Bohdan Diveyev ◽  
Orest Horbay ◽  
Lyubomyr Sopilnyk ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Dynamic Equilibrium ◽  
Plate Theory ◽  
Adaptive Method ◽  
Sandwich Plates ◽  
Stress Distributions ◽  
Equilibrium Conditions ◽  
Refined Plate Theory ◽  
Bending Tests ◽  
The Magnetic Field

In this paper, the dynamic characteristics of sandwich plates with external rigid layers and an upper layer with magnetorheological properties (MR) are investigated. An analysis of the effect of the magnetic field on frequency and loss factor is presented. Vibration can be controlled by a magnetic-rheological viscoelastomer (MRVE), when used in sandwich plates. During vibration, MRVE exhibits an inhomogeneous complex module, which is controlled by an applied magnetic field and depends on the oscillation frequency. Using the dynamic equilibrium conditions, physical and kinematic relationships, and the partial differential equations for the conjugate transverse and longitudinal oscillations of a sandwich plate, are derived. This paper presents a new method for stress analysis that provides accurate stress distributions for multilayer plates subject to cylindrical bending. It uses an adaptive method that does not make strict assumptions about the plate model. Based on the depicted theoretical model, the deformations of each layer of the plate are accounted for, including both transverse shear deformations and transverse normal deformations where the thickness is concerned, and nonlinear displacement changes. The magnetorheological (MR) identification of an inner layer is carried out using refined plate theory and sandwich bending tests. Using combined methods, the possibility of determining the MRVE parameters robustly, is examined.

Free vibration of functionally graded sandwich plates using four-variable refined plate theory

2011 ◽  
Vol 32 (7) ◽  
pp. 925-942 ◽  
Author(s):  
L. Hadji ◽  
H. A. Atmane ◽  
A. Tounsi ◽  
I. Mechab ◽  
E. A. Adda Bedia
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory

A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates

2011 ◽  
Vol 14 (1) ◽  
pp. 5-33 ◽  
Author(s):  
Mohamed Bourada ◽  
Abdelouahed Tounsi ◽  
Mohammed Sid Ahmed Houari ◽  
El Abbes Adda Bedia
Keyword(s):  
Plate Theory ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory

Exact 3-D Stress and Stiffness Analysis of Functionally Graded Sandwich Plates Using Sampling Surfaces Method

2014 ◽  
Author(s):  
Mehdi Darabi ◽  
Rajamohan Ganesan
Keyword(s):  
Volume Fraction ◽  
Plate Theory ◽  
Three Dimensional ◽  
Core Layer ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Stress Distributions ◽  
Power Law Distribution ◽  
Approach Zero ◽  
Comparison Of The Results

In the present work, the three-dimensional analysis for the deflection and stress distributions of functionally graded ceramic–metal sandwich plates is developed based on the method of sampling surfaces (SaS). In accordance with this method, into each layer of the plate, reference surfaces that are not equally spaced and are parallel to the mid-surface of the plate are introduced, and the displacement vectors of these surfaces are chosen as unknown functions. Such a choice allows the representation of the governing equations of the proposed higher order layer-wise plate theory in a very compact form and also permits the derivation of strain–displacement relationships correctly describing all motions including the rigid-body motions of the functionally graded plate. Hence the 3D elasticity problem of the thick plate is efficiently solved. The material properties of sandwich plate’s face layer are assumed to be that of a two-constituent material that vary continuously through the thickness of the face sheet according to a power law distribution of the volume fraction of the constituents. The core layer is homogeneous and made of an isotropic ceramic material. The effects of the volume fraction of the material constituents and their distribution on the deflections and, in particular, the 3-D stress distributions as well as the effects of the length-to-width and length-to-thickness ratios of the plate are investigated. Comparison of the results of the present work with the results available in existing literature is carried out for a benchmark problem. It is shown that considering large number of SaS, which are located at interfaces and Chebyshev polynomial nodes, the accuracy of the solutions can be improved significantly wherein the error will approach zero value as the total number of surfaces in each layer become very large.

Two-Variable Refined Plate Theory for Thermoelastic Bending Analysis of Functionally Graded Sandwich Plates

2011 ◽  
Vol 34 (4) ◽  
pp. 315-334 ◽  
Author(s):  
Mohammed Sid Ahmed Houari ◽  
Samir Benyoucef ◽  
Ismail Mechab ◽  
Abdelouahed Tounsi ◽  
El Abbas Adda Bedia
Keyword(s):  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory ◽  
Bending Analysis ◽  
Thermoelastic Bending

Effect of magnetic field on the wave propagation in nanoplates based on strain gradient theory with one parameter and two-variable refined plate theory

2016 ◽  
Vol 30 (36) ◽  
pp. 1650421 ◽  
Author(s):  
Behrouz Karami ◽  
Maziar Janghorban
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Strain Gradient ◽  
Plate Theory ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Governing Equations ◽  
Refined Plate Theory ◽  
Bulk Waves ◽  
First Time

In this paper, the effect of magnetic field on the wave propagation in rectangular nanoplates based on two-variable refined plate theory is studied. In order to capture the size effects, the strain gradient theory with one length scale parameter is used. From our knowledge, it is the first time that two-variable refined plate theory is adopted for studying bulk waves in nanoplates. This type of refined plate theory has only two unknowns which reduces the complexity of the governing equations. To show the accuracy of this work, several comparisons are made with available results in open literature.

Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory

2020 ◽  
Vol 15 (12) ◽  
Author(s):  
Olga Mazur ◽  
Jan Awrejcewicz
Keyword(s):  
Magnetic Field ◽  
Elasticity Theory ◽  
Nonlocal Elasticity ◽  
Nonlinear Vibrations ◽  
Plate Theory ◽  
Nonlocal Parameter ◽  
Nonlocal Elasticity Theory ◽  
Plate Aspect Ratio ◽  
Account Due ◽  
The Magnetic Field

Abstract Nonlinear vibrations of the orthotropic nanoplates subjected to an influence of in-plane magnetic field are considered. The model is based on the nonlocal elasticity theory. The governing equations for geometrically nonlinear vibrations use the von Kármán plate theory. Both the stress formulation and the Airy stress function are employed. The influence of the magnetic field is taken into account due to the Lorentz force yielded by Maxwell's equations. The developed approach is based on applying the Bubnov–Galerkin method and reducing partial differential equations to an ordinary differential equation. The effect of the magnetic field, elastic foundation, nonlocal parameter, and plate aspect ratio on the linear frequencies and the nonlinear ratio is illustrated and discussed.

Supersonic flutter analysis of annular/circular sandwich panels containing magnetorheological fluid

2020 ◽  
pp. 109963622091910
Author(s):  
Mehdi Eshaghi
Keyword(s):  
Magnetic Field ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Dynamic Properties ◽  
Outer Radius ◽  
Sandwich Plates ◽  
Classical Plate Theory ◽  
Mr Fluid ◽  
Supersonic Airflow ◽  
Aerodynamic Pressure

The present study investigates the effect of magnetorheological fluids on the aeroelastic stability and flutter boundaries of the circular/annular magnetorheological (MR) sandwich plates in a supersonic airflow. The linear piston theory is employed to formulate the external force applied to the structure due to the aerodynamic pressure. The classical plate theory along with Hamilton’s principle is used to derive governing equations of motion of the sandwich plate. The assumed mode method is utilized to solve the equations and identify the flutter boundaries of the structure. In order to demonstrate validity of the developed model, an experiment is conducted on a circular MR sandwich plate to characterize dynamic properties of the structure, under different levels of the magnetic field, in terms of the resonant frequencies. Then, the verified model is employed to investigate the effects of MR fluid, magnetic field, boundary condition and inner/outer radius of the circular/annular MR sandwich plate on the aerodynamic instability of the structure. The results highlight the significance of the MR fluid in extending flutter boundaries of the annular/circular sandwich plates in the supersonic airflow.

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