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.

Natrajan Ganesan

Seetharaman Swarnamani

Electrostatics

finite element method

Magnetic field effects

Magnetoelectric effects

Vibrations (mechanical)

MAGNETO-ELECTRO-ELASTIC CYLINDRICAL SHELLS

Multiphase system

PIEZOMAGNETIC EFFECT

Shells (structures)

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.

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IIT Madras

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

Smart Materials and Structures

Dynamic loading will generate time varying electric and magnetic fields in magneto-electro-elastic continuum. Displacement current is associated with the generation of magnetic field due to time varying electric field. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for clamped-free and clamped-clamped boundary conditions of the structure excited with harmonic mechanical loading. The magnetic flux density in axial direction is not affected by the electric displacement current. The transverse y-direction and z-direction components of magnetic flux density are showing significant variation at higher frequencies when displacement current is accounted. © 2013 Taylor &amp; Francis Group, LLC.

Mechanics of Advanced Materials and Structures

Effect of displacement current in magneto-electro-elastic 3D beam subjected to dynamic loading

Purpose - This paper aims to present harmonic response of magneto-electro-elastic cylinder by quasi-static and fully dynamic electromagnetic theories. The quasi-static assumption uses magnetic scalar potential whereas magnetic vector potential is employed in a fully dynamic model. Design/methodology/approach - The electric field induced by time varying magnetic field is non-conservative and can be described by electric scalar potential and magnetic vector potentials. Findings - The magnitude of vector potential is dominant in axial and circumferential direction whereas the magnetic flux density is significant in radial direction. Magnetic scalar potential approach evaluates only the radial component of magnetic flux density and electric field intensity is reasonably the same as that of the magnetic vector potential approach. Originality/value - Semi-analytical finite element method is used in this paper and the vector potential is formulated in cylindrical coordinates. © Emerald Group Publishing Limited.

Multidiscipline Modeling in Materials and Structures

Dynamic analysis of magneto-electro-elastic cylindrical shells by quasi-static and fully dynamic electromagnetic theories

Dynamic response of moderately thick magneto-electro-elastic plate using magnetic vector potential in finite element formulation is presented in this paper. Dynamic loading generate time varying electric and magnetic fields in magneto-electro-elastic continuum. Displacement current is associated with the generation of magnetic field due to time varying electric field. The non-conservative electric field is represented using electric scalar potential and magnetic vector potentials. Studies are carried out for CCCC, CCFC, CFFC and FCFC boundary conditions of the plate excited with time-harmonic mechanical excitation, the frequency range being chosen based on the critical frequency of the plate analyzed. The magnetic flux density in longitudinal x-direction is not affected by the electric displacement current for all the boundary conditions. The longitudinal y-direction and transverse direction components of magnetic flux density are showing variations for FCFC boundary condition when displacement current is accounted. The effect of displacement current is significant when two opposite edges of the plate are clamped. © Springer Science+Business Media, B.V. 2012.

International Journal of Mechanics and Materials in Design

Effect of displacement current in magneto-electro-elastic plates subjected to dynamic loading

Magnetic scalar and vector potential approaches in finite element formulation for dynamic response studies of magneto-electro-elastic solids is presented in this paper. The electric field induced by time varying magnetic field is non-conservative and can be described by electric scalar potential and magnetic vector potential. The magnitude of magnetic vector potential is dominant in transverse direction than in longitudinal directions except for FCFC boundary condition. Magnetic scalar potential approach evaluates the components of magnetic flux density on higher side where as electric field intensity is seldom influenced using both the approaches except for FCFC boundary condition. © Taylor &amp; Francis Group, LLC.

Ferroelectrics

Magnetic scalar and vector potential approaches in dynamic response studies of magneto-electro-elastic plates

Displacement current is associated with the generation of magnetic fields due to time-varying electric fields. The harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for the first circumferential harmonics of the shell structure with the clamped-free boundary condition. The contribution made to the magnetic flux density by the electric displacement current is very small at lower frequencies but it becomes significant at higher frequencies. © 2010 IOP Publishing Ltd.

Finite element formulation using magnetic vector potential approach: Effects of displacement current in magneto-electro-elastic cylindrical shells

Journal of Intelligent Material Systems and Structures

On the Constitutive Equations of Magnetoelectroelastic Solids

Structural Engineering and Mechanics

Analytical solutions to magneto-electro-elastic beams

Composites Part B: Engineering

Layered versus multiphase magneto-electro-elastic composites

Computers & Structures

Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

International Journal of Engineering Science

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

Journal	Smart Materials and Structures
ISSN	09641726
Open Access	No