Studies on magneto-electro-elastic cylindrical shell have been carried out in the present work. The constitutive equations of piezomagnetic medium involving mechanical, electrical and magnetic fields are used to derive finite element model for the system. The semi-analytical finite element model is developed. The influence of piezomagnetic effect on the structural frequencies is evaluated. The comparative study of shell with layered configuration with that of multiphase system is attempted. The study is carried out for a typical shell with clamped-clamped boundary conditions. © 2005 Elsevier Ltd. All rights reserved.

Natrajan Ganesan

Seetharaman Swarnamani

Boundary conditions

Clamping devices

ELASTICITY

finite element method

Magnetoelectric effects

Vibrations (mechanical)

CLAMPED-CLAMPED BOUNDARY CONDITIONS

MAGNETO-ELECTRO-ELASTIC

PIEZOMAGNETIC EFFECT

PIEZOMAGNETIC MEDIUM

Cylinders (shapes)

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Journal of Sound and Vibration

Purpose - The purpose of the paper is to investigate the linear thermal buckling and vibration analysis of layered and multiphase magneto-electro- elastic (MEE) cylinders made of piezoelectric/piezomagnetic materials using finite element method. Design/methodology/approach - The constitutive equations of MEE materials are used to derive the finite element equations involving the coupling between mechanical, electrical, magnetic and thermal fields. The present study is limited to clamped-clamped boundary conditions. The linear thermal buckling is carried out for an axisymmetric cylinder operating in a steady state axisymmetric uniform temperature rise. The influence of stacking sequences and volume fraction of multiphase MEE materials on critical buckling temperature and vibration behaviour is investigated. The influence of coupling effects on critical buckling temperature and vibration behaviour is also studied. Findings - The critical buckling temperature is higher for MEE axisymmetric cylinder as compared to elastic cylinder. Originality/value - Linear thermal buckling and vibration analysis of MEE axisymmetric cylinders are studied using the finite element approach. The structure can be used for active vibration control, sensors and actuators. Studying the buckling and vibration behaviour of such structures and influence of coupling effect is extremely useful for the design of magnetoelectroelastic structures. © Emerald Group Publishing Limited.

Multidiscipline Modeling in Materials and Structures

Buckling and vibration analysis of layered and multiphase magneto-electro-elastic cylinders subjected to uniform thermal loading

The transient response of a simply supported layered cylinder made of a three-phase magneto-elecrolastic (MEE) composite, consisting of an elastic matrix reinforced with piezoelectric and piezomagnetic fiber has been studied by developing a semianalytical finite element method employing fourth-order Runge-Kutta method. Numerical results are presented for different volume fractions of piezomagnetic fiber in a three-phase MEE material with simply supported boundary conditions. A study of the transient responses of (PZT)-epoxy mixed component (PECP), (Terfenol-D)-epoxy mixed components (MSCP), barium titanate (BaTiO3) and a two phase magneto-electro-elastic layered cylinder, under simply supported boundary conditions has also been presented. A comparison between the elastic and the coupled responses of the MEE cylinder is presented as well. Ansys 8.1 is used to validate the present code for the response of cylinder made of PECP and MSCP materials.

Fulltext

Journal of Mechanics of Materials and Structures

Transient response of magneto-electro-elastic simply supported cylinder using finite element

Free vibration studies of multiphase and layered magneto-electro-elastic beam for BaTiO3-CoFe2O4 composite is carried out. In-plane plate finite-element analysis is used to obtain the behaviour of magneto-electro-elastic beam. Studies are carried out for beams for different boundary conditions, as may be applicable in design of smart sensors/actuators. The ANSYS package is used to validate the results obtained by the computer code developed for piezoelectric (PE) beam. Plane stress condition is used for the Euler-Bernouli magneto-electro-elastic beam. © 2006 Elsevier Ltd. All rights reserved.

Free vibration behaviour of multiphase and layered magneto-electro-elastic beam

The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied. A series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure. The constitutive equations of the magneto-electro-elastic medium involving mechanical, electrical and magnetic fields are used to derive the finite element model for the system. The influence of the piezomagnetic effect on the structural frequencies of the cylindrical shell is studied. A comparison is made between a shell with a layered configuration and one with a multiphase system. The study is carried out for a typical shell with simply supported boundary conditions for different ratios of length to radius and radius to thickness to analyse the frequency behaviour. © 2006 IOP Publishing Ltd.

Smart Materials and Structures

Free vibrations of simply supported layered and multiphase magneto-electro-elastic cylindrical shells

Composites Part B: Engineering

Layered versus multiphase magneto-electro-elastic composites

International Journal of Engineering Science

A finitely long circular cylindrical shell of piezoelectric/piezomagnetic composite under pressuring and temperature change

Free vibration of an infinite magneto-electro-elastic cylinder

FREE VIBRATIONS OF SIMPLY SUPPORTED AND MULTILAYERED MAGNETO-ELECTRO-ELASTIC PLATES

Free vibrations of clamped-clamped magneto-electro-elastic cylindrical shells

Journal	Journal of Sound and Vibration
Publisher	Academic Press
ISSN	0022460X
Open Access	No