Edgewise Bending Vibration Analysis of a Rotating Sandwich Beam with Magnetorheological Elastomer Core

2018 ◽  
Vol 18 (11) ◽  
pp. 1850134 ◽  
Author(s):  
S. Bornassi ◽  
H. M. Navazi ◽  
H. Haddadpour
Keyword(s):  
Magnetic Field ◽  
Layer Thickness ◽  
Rectangular Cross Section ◽  
Ritz Method ◽  
Sandwich Beam ◽  
Beam Theory ◽  
Core Layer ◽  
Magnetorheological Elastomer ◽  
Bending Vibration ◽  
Elastic Layers

The vibration of a rotating sandwich beam with magnetorheological elastomer (MRE) as a core between two elastic layers is theoretically analyzed in this paper. This study is focused on the bending vibration along the edgewise direction of a sandwich beam of rectangular cross-section, which, to the best of our knowledge, has not been addressed yet. The classical Euler–Bernoulli beam theory is used to model the dynamic behavior of the elastic layers. In the modeling, the effect of the MRE layer is considered by incorporating its shear strains and the inertia due to shear deformation and bending motion. The governing equations of motion of the rotating sandwich beam are derived by using the Ritz method and the Lagrange’s equations. The effects of the applied magnetic field, core layer thickness, rotational speed, setting angle and hub radius on the natural frequencies and the corresponding loss factors are investigated parametrically. The results show the significant effect of the magnetic field intensity and the MRE layer thickness on the modal characteristics of the MRE sandwich beam.

Torsional vibration analysis of a rotating tapered sandwich beam with magnetorheological elastomer core

2018 ◽  
Vol 29 (11) ◽  
pp. 2406-2423 ◽  
Author(s):  
Saeed Bornassi ◽  
Hossein M Navazi
Keyword(s):  
Magnetic Field ◽  
Layer Thickness ◽  
Torsional Vibration ◽  
Vibration Analysis ◽  
Sandwich Beam ◽  
Vibration Characteristics ◽  
Magnetorheological Elastomer ◽  
Lagrange Equations ◽  
Rotating Speed ◽  
Setting Angle

In this study, the torsional vibration analysis of a rotating tapered sandwich beam with a magnetorheological elastomer core has been investigated. The magnetorheological elastomer material is used as a constrained damping layer embedded between two elastic constraining skins in order to improve the vibrational behavior of the sandwich beam. The three layers of the sandwich beam have rectangular cross-sections with symmetric arrangement. The problem formulation is set up based on the torsional theory of rectangular laminated plates. The assumed modes method and the Lagrange equations are used to derive the governing equations of motion of the system. The validity of the presented formulation is confirmed through comparison of the obtained results with those available in the literature. A detailed parametric study is carried out to investigate the effects of applied magnetic field, tapering ratios, magnetorheological elastomer layer thickness, rotating speed, hub radius, and setting angle on the free vibration characteristics of the sandwich beam. The results show that magnetic field intensity, magnetorheological elastomer layer thickness, and tapering ratio have significant influences on the torsional vibrating characteristics of the sandwich beam, and the effects of rotating speed and hub radius are considerable. The setting angle has no substantial effect on the torsional vibration characteristics.

Analysis of Vibration Characteristics of Magnetorheological Elastomer Sandwich Beam under Non-Homogeneous Magnetic Field

2011 ◽  
Vol 101-102 ◽  
pp. 202-206 ◽  
Author(s):  
Guo Liang Hu ◽  
Miao Guo ◽  
Wei Hua Li
Keyword(s):  
Magnetic Field ◽  
Natural Frequency ◽  
Sandwich Beam ◽  
Homogeneous Magnetic Field ◽  
Experimental Results ◽  
Magnetorheological Elastomer ◽  
Test Rig ◽  
Thin Aluminum ◽  
Set Up ◽  
The Magnetic Field

In this study, the MRE was manufactured, and the sandwich beam was also fabricated by treating with MRE between two thin aluminum layers. The experiment test rig was set up to investigate the vibration response of the MRE sandwich beam under non-homogeneous magnetic field. The experimental results show that the MRE sandwich beam had the capabilities of left shifting first natural frequency when the magnetic field was increased in the activated regions. It is also obvious that the first natural frequency of the MRE sandwich beam decreased as the magnetic field that applied on the beam was moved from the clamped end of the beam to the free end of the beam.

Free Vibration Control of MRE Embedded Viscoelastic Cored Sandwich Beam With Time Varying Magnetic Field

2010 ◽  
Author(s):  
Biswajit Nayak ◽  
Santosha K. Dwivedy ◽  
K. S. R. Krishna Murthy
Keyword(s):  
Magnetic Field ◽  
Free Vibration ◽  
Vibration Control ◽  
Multiple Scales ◽  
Sandwich Beam ◽  
Beam Theory ◽  
Critical Parameters ◽  
Time Varying ◽  
Iron Particles ◽  
System Method

The present work deals with the free vibration control of a simply supported and cantilevered sandwich beam with magnetorheological elastomer (MRE) embedded viscoelastic core and conductive skins subjected to time varying magnetic field. The skins of the sandwich beam are conductive such that magnetic loads are applied to the skins. Considering the core to be stiff in transverse direction, classical sandwich beam theory has been used along with extended Hamilton’s principle and Galarkin’s method to derive the governing equation of motion. The resulting equation reduces to that of a parametrically excited system. Method of multiple scales has been used to study the response and stability of the system. Critical parameters of amplitude and frequency of magnetic field have been determined to actively control the free vibration response of the system. Effects of percentage of iron particles and carbon black in attenuation of vibration of the sandwich beam have been studied. Here the experimentally obtained properties of recently developed magnetorheological elastomers based on natural rubber containing iron particles and carbon blacks have been considered in the numerical simulation.

Vibration Analysis of a Laminated Composite Magnetorheological Elastomer Sandwich Beam

2014 ◽  
Vol 592-594 ◽  
pp. 2097-2101 ◽  
Author(s):  
Babu V. Ramesh ◽  
R. Vasudevan ◽  
Naveen B. Kumar
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Sandwich Beam ◽  
Laminated Composite ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Magnetorheological Elastomer

In this study, the vibration analysis of a laminated composite magnetorheological elastomer (MRE) sandwich beam is presented. The governing differential equations of motion of a sandwich beam embedding a MRE layer as core layer and laminated composite beams as the face layers are presented in a finite element formulation. The validity of the developed finite element formulation is demonstrated by comparing results in terms of the natural frequencies derived from the present finite element formulation with those in the available literature. Various parametric studies are also performed to investigate the effect of a magnetic field on the variation of the natural frequencies and loss factors of the MR elastomer composite sandwich beam under various boundary conditions. Furthermore, the effect of the thickness of the MR elastomer layer on the variation of the natural frequencies and loss factors are studied. The study suggested that the natural frequency increases with increasing magnetic field, irrespective of the boundary conditions.

scholarly journals Free vibration of piezoelectric FGM sandwich beam with porous core embedded in thermal environment and elastic foundation

2021 ◽  
Vol 15 (4) ◽  
pp. 15-28
Author(s):  
Tran Quang Hung ◽  
Tran Minh Tu ◽  
Do Minh Duc
Keyword(s):  
Temperature Distribution ◽  
Free Vibration ◽  
Elastic Foundation ◽  
Thermal Environment ◽  
Ritz Method ◽  
Sandwich Beam ◽  
Beam Theory ◽  
Functionally Graded ◽  
Lagrange Equations ◽  
Linear Temperature

This paper aims to present thermo-electrical free vibration characteristics of functionally graded material (FGM) sandwich beam placed on the two-parameter elastic foundation. The beam is constructed of a foam core, two middle FGM layers, and two outer piezoelectric layers. It is assumed that the beam is subjected to a constant voltage and a uniform/linear temperature distribution. Physical properties of the core and two middle layers vary smoothly through the thickness according to the cosine and power-law forms, respectively. Lagrange equations in conjunction with the Reddy third-order beam theory is employed to derive the governing equations of motion. A simple polynomial trial function-based Ritz method is adopted for the approximation of the displacement field to obtain the vibration response. The correctness of the study is verified by comparisons with other authors’ published results. Influences of geometry parameters, material property distribution, applied voltage, elastic foundation, temperature distribution, temperature change, porosity coefficient, span-to-height ratio, and boundary conditions are investigated through parametric studies.

Distortions and Residual Stresses at Layer-by-Layer Additive Manufacturing by Fusion

2016 ◽  
Vol 139 (3) ◽  
Author(s):  
V. A. Safronov ◽  
R. S. Khmyrov ◽  
D. V. Kotoban ◽  
A. V. Gusarov
Keyword(s):  
Residual Stresses ◽  
Layer Thickness ◽  
Rectangular Cross Section ◽  
Thermal Shrinkage ◽  
Curvature Radius ◽  
Layer By Layer ◽  
Proposed Model ◽  
Sequential Addition ◽  
Beam Height ◽  
Elastic Layers

Thermal shrinkage of the added material can distort the manufactured part and generate residual stresses. Experiments are carried out on growing the beams of rectangular cross section. The beams bend with formation of a concave top surface. The distortion is characterized by the curvature radius. The curvature radius significantly increases with the beam height, however, its variation with the layer thickness is within the experimental uncertainty. The proposed mathematical model assumes sequential addition of thermally expanded elastic layers. It explains the experiments and indicates the existence of finite limits for the stress and the deformation fields and the curvature radius at small layer thickness. The proposed model can be applied to predict residual stresses and deformations arising in complicated parts.

scholarly journals Active control of the nonlinear bending behavior of magnetorheological elastomer sandwich beam with magnetic field

2018 ◽  
Vol 18 ◽  
pp. 73-78 ◽  
Author(s):  
Salah Aguib ◽  
Nassim Zeerouni ◽  
Abdelkader Nour ◽  
Toufik Djedid ◽  
Ali Nedjar
Keyword(s):  
Magnetic Field ◽  
Active Control ◽  
Sandwich Beam ◽  
Magnetorheological Elastomer ◽  
Nonlinear Bending ◽  
Bending Behavior

Modelling and experimental characterisation of a compressional adaptive magnetorheological elastomer isolator

2021 ◽  
pp. 107754632110253
Author(s):  
Emiliano Rustighi ◽  
Diego F Ledezma-Ramirez ◽  
Pablo E Tapia-Gonzalez ◽  
Neil Ferguson ◽  
Azrul Zakaria
Keyword(s):  
Magnetic Field ◽  
Silicone Rubber ◽  
Magnetic Interaction ◽  
Iron Particle ◽  
Material Model ◽  
Rubber Matrix ◽  
Magnetorheological Elastomer ◽  
Volume Percentage ◽  
Shock Absorbers ◽  
Percent Concentration

This article proposes a simple physical-based model to describe and predict the performance of axially compressed magnetorheological elastomer cylinders used as vibration and shock absorbers. The model describes the magnetorheological elastomer macroscopic stiffness changes because of an externally applied magnetic field from a microscopic composite cell of silicone rubber and carbonyl iron particle. Despite neglecting the material hyperelasticity, anisotropy and adjacent magnetic interaction, the model describes effectively the effect of the magnetic field on the macroscopic modulus of elasticity. The changes in the mechanical properties with the induced magnetic field are measured on samples of different particle concentration based on volume percentage, that is, 10 and 30 percent concentration of iron particles in a silicone rubber matrix. The manufacturing process of the samples is detailed, as well as the experimental validation of the effective stiffness change under a magnetic field in terms of transmissibility and mobility testing. However, the prediction seems to be limited by the linear elastic material model. Predictions and measurements are compared, showing that the model is capable of predicting the tunability of the dynamic/shock absorber and that the proposed devices have a possible application in the reduction of mechanical vibrations.

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