Studies on functionally graded magneto-electro-elastic cylindrical shells have been carried out in the present work by using semi-analytical finite element formulation. The finite element model is derived based on constitutive equation of piezomagnetic material accounting for coupling between elasticity, electric and magnetic effect. The functionally graded model similar to conventional functionally graded material in literature has been adopted. Studies are carried out on clamped-clamped shell and frequency behavior with the variation of power law index is analyzed and explained on the basis of constitutive material.

Rajesh K. Bhangale

Natrajan Ganesan

ELASTICITY

finite element method

Magnetoelectric effects

Piezoelectric devices

Shells (structures)

Vibration measurement

Free vibration

NON-HOMOGENEOUS MAGNETO-ELECTRO-ELASTIC STRUCTURE

SEMI-ANALYTICAL FINITE ELEMENT METHOD

Functionally graded materials

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

Free Vibration of Functionally Graded Non-Homogeneous Magneto-Electro-Elastic Cylindrical Shell

International Journal of Computational Methods in Engineering Science and Mechanics

In this article, free vibration studies on functionally graded, anisotropic and linear magneto-electro-elastic plates have been carried out by semi-analytical finite element method. A series solution is assumed in the plane of the plate and finite element procedure is adopted across the thickness of the plate such a way that the three-dimensional (3-D) character of the solution is preserved. The finite element model is derived based on constitutive equation of magneto-electro-elastic material accounting for coupling between elasticity, electric and magnetic effect. The present finite element is modeled with displacement components, electric potential and magnetic potential as nodal degree of freedom. The functionally graded material is assumed to be exponential in the thickness direction. The numerical results obtained by the present model are in good agreement with the isotropic 3-D exact benchmark solutions available in literature. Numerical study includes the influence of the different exponential factor, magneto-electro-elastic properties and effect of mechanical and electrical type of loading on induced magneto-electro-elastic fields. Further study has been carried out on higher harmonic. Study has been extended on functionally graded and layered magneto-electro-elastic plate. © 2006 Elsevier Ltd. All rights reserved.

Journal of Sound and Vibration

Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method

In recent years, structures made up of functionally graded materials (FGMs) have received considerable attention for use in high-temperature applications. In this article, a finite element formulation based on First-Order Shear Deformation Theory (FSDT) is used to study the thermal buckling and vibration behavior of truncated FGM conical shells in a high-temperature environment. A Fourier series expansion for the displacement variable in the circumferential direction is used to model the FGM conical shell. The material properties of the truncated FGM conical shells are functionally graded in the thickness direction according to a volume fraction power law distribution. Temperature-dependent material properties are considered to carry out a linear thermal buckling and free vibration analysis. The conical shell is assumed to be clamped-clamped and has a high temperature specified on the inner surface while the outer surface is at ambient temperature. The one-dimensional heat conduction equation is used across the thickness of the conical shell to determine the temperature distribution and thereby the material properties. In addition, the influence of initial stresses on the frequency behavior of FGM shells has also been investigated. Numerical studies involving the understanding of the role of power law index, r/h ratios, and semi-vertex angle on the thermal buckling temperature as well as on vibration have been carried out. © 2005 Elsevier Ltd. All rights reserved.

Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells

In this article, free vibration studies on Functionally Graded Materials (FGM) magneto-electro-elastic cylindrical shells have been carried out. A series solution is assumed in circumferential and axial direction such that the three-dimensional character of the solution is preserved. The finite element model is derived based on constitutive equation of magneto-electro-elastic material accounting for coupling between elasticity, electric and magnetic effect. Frequency behavior with the variation of power law index is analyzed and explained on the basis of constitutive material. One of the aims of the study is to evaluate the influence of magnetic and piezoelectric effect on the structural frequency. In addition influence of length to radius ratio and radius to thickness ratio on the frequency behaviour of such shells have been attempted. © 2005 Elsevier Ltd. All rights reserved.

Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells

On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates

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

Free vibration of functionally graded non-homogeneous magneto-electro- elastic cylindrical shell

Journal	International Journal of Computational Methods in Engineering Science and Mechanics
ISSN	15502287
Open Access	No