This study investigates the dynamic properties of a sandwich beam with magnetorheological (MR) fluid as a core material between the two layers of the continuous elastic structure. Timoshenko beam theory has been employed to derive the governing differential equation of motion in the finite element form for the transverse vibration response of MR fluid sandwich beam. The validation of the developed finite element formulation is demonstrated by comparing the results in terms of natural frequencies evaluated with those of available literature. Various parametric studies are also performed in terms of variations of the natural frequencies and loss factor as functions of the applied magnetic field and thickness of the MR fluid layer for various boundary conditions. © 2013 The Authors. Published by Elsevier Ltd.

Vasudevan R

Department of Design and Automation

School of Mechanical Engineering

Vellore Campus

Sundararaman V

Govindarajan B.

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

&nbsp;

&nbsp;

VIT University

Procedia Engineering

In this study, the vibration responses of a partially treated laminated composite magnetorheological (MR) fluid sandwich plate have been investigated. The governing differential equations of motion for a partially treated laminated sandwich plate embedding MR fluid and rubber as the core layer and the laminated composite plate as the face layers are presented in finite element formulation. The validity of the developed finite element formulation is demonstrated by comparing the results in terms of natural frequencies derived from the present finite element formulation with the experimental measurements. Various configurations of a partially treated laminated composite MR fluid sandwich plate are considered to study the effect of location and size of the MR fluid segment under various boundary conditions. The effect of magnetic field on the variation of natural frequencies and loss factor of the partially treated laminated composite MR fluid sandwich plate are also analyzed for various configurations at different boundary conditions. The free vibration mode shapes of various configurations of a partially treated laminated composite MR fluid sandwich plate are also presented. The forced vibration responses of the various configuration of a partially treated laminated composite MR fluid sandwich plate are also analyzed under harmonic force excitations. This analysis suggests that the natural frequency, loss factor and transverse displacements of the partially treated laminated composite MR fluid sandwich plate are strongly influenced by the location and size of the MR fluid segment apart from the intensities of the applied magnetic field. The application of the partial treatment alters the deflection pattern of the sandwich plate, particularly the location of peak deflection, which shows that it can be applied to critical components of a large structure to realize a more efficient and compact vibration control mechanism with variable damping. © The Author(s) 2014.

Journal of Vibration and Control

Vibration analysis of a partially treated laminated composite magnetorheological fluid sandwich plate

This paper presents the synthesis of full state and limited state flexible mode shape (FMS) based controllers for the suppression of transient and forced vibration of a cantilever beam with full and partial magnetorheological (MR) fluid treatments. The governing equations of motion of the three layer MR sandwich beam are expressed in the state variable form comprising a function of the control magnetic field. An optimal control strategy based on the linear quadratic regulator (LQR) and a full state dynamic observer is formulated to suppress the vibration of the beam under limited magnetic field intensity. The lower flexural mode shapes of the passive beam are used to obtain estimates of the deflection states so as to formulate a limited state LQR control synthesis. The transient and forced vibration control performances of both the full state observer-based and the limited state FMS-based LQR control strategies are evaluated for the fully as well as partially treated MR-fluid sandwich beams. The results show that the full state observer-based LQR control can substantially reduce the tip deflection responses and the settling time of free vibration oscillations. The limited state LQR control based on the mode shapes effectively adapts to the deflections of the closed loop beam and thus yields vibration attenuation performance comparable to that of the full state LQR controller. The partially treated beam with MR-fluid concentration near the free end also yields vibration responses comparable to the fully treated beam, while the natural frequencies of the partially treated beams are considerably higher. © 2011 IOP Publishing Ltd.

Smart Materials and Structures

Optimal vibration control of beams with total and partial MR-fluid treatments

The vibration properties of multi-layer beam structure comprising axially non-homogeneous magneto-rheological (MR) fluids layer are investigated. The governing equations of a non-homogeneous MR fluids multi-layered beam are formulated using finite element method and Ritz formulation. The validity of the proposed finite element formulations is demonstrated by comparing the results with those obtained from the Ritz formulation. The properties of different configurations of a non-homogeneous MR-fluid beam are evaluated to investigate the influences of the location of the different MR-fluids for various boundary conditions. The properties in terms of natural frequencies and loss factors corresponding to various modes are evaluated under different magnetic field intensities. The effect of location of the fluid treatment on deflection mode shapes is also investigated. The results suggest that the natural frequencies and loss factors of the non-homogeneous MR fluid beams are strongly influenced not only by the intensity of the applied magnetic field, but also by the location of the MR fluids. It is also concluded that the application of non-homogeneous MR fluids could also alter the deflection pattern of the beam, particularly the location of the peak deflection.

Applied Mechanics and Materials

Dynamic Characterization of Non-Homogeneous Magnetorheological Fluids Based Multi-Layer Beam

Journal of Sound and Vibration

Vibration analysis of a partially treated multi-layer beam with magnetorheological fluid

Optimum design of a multilayer beam partially treated with magnetorheological fluid

Vibration analysis of a multi-layer beam containing magnetorheological fluid

Finite Element Vibration Analysis of a Magnetorheological Fluid Sandwich Beam

Journal	Data powered by TypesetProcedia Engineering
Publisher	Data powered by TypesetElsevier BV
ISSN	1877-7058
Open Access	Yes