Faculty Publications

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Author: search.filters.author.Kiran, M.C.Subject: search.filters.subject.Free vibration

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    Free vibration and static analysis of functionally graded skew magneto-electro-elastic plate
    (Techno-Press, 2018) Kiran, M.C.; Kattimani, S.
    This article presents a finite element (FE) model to assess the free vibration and static response of a functionally graded skew magneto-electro-elastic (FGSMEE) plate. Through the thickness material grading of FGSMEE plate is achieved using power law distribution. The coupled constitutive equations along with the total potential energy approach are used to develop the FE model of FGSMEE plate. The transformation matrix is utilized in bringing out the element matrix corresponding to the global axis to a local axis along the skew edges to specify proper boundary conditions. The effect of skew angle on the natural frequency of an FGSMEE plate is analysed. Further, the study includes the evaluation of the static behavior of FGSMEEplate for various skew angles.The influence of skew angle on the primary quantities such as displacements, electric potential, and magnetic potential, and secondary quantities such as stresses, electric displacement and magnetic induction is studied indetail. In addition, the effect of power-law gradient, thickness ratio, boundary conditions and aspect ratio on the free vibration and static response characteristics of FGSMEE plate has been investigated. © 2018 Techno-Press, Ltd.
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    Porosity influence on structural behaviour of skew functionally graded magneto-electro-elastic plate
    (Elsevier Ltd, 2018) Kiran, M.C.; Kattimani, S.; Mahesh, M.
    This article presents a finite element (FE) formulation to assess the influence of porosity on the static responses and free vibration of functionally graded skew magneto-electro-elastic (FGSMEE) plate. The porosity is accounted for local density using modified power law. The skew edges of the plate are achieved by implementing transformation matrix. The coupled constitutive relations establish the different couplings associated with MEE materials. The displacements, potentials, and stresses for the porous skew plate are established through static analysis. The influence of porosity on the natural frequency of the skew plate is investigated via free vibration analysis. The influence of different porosity distributions on various skew angles of the FGSMEE plate has been studied. The effect of porosity volume, skew angle, and geometrical parameters such as aspect ratio, thickness ratio, and boundary conditions on the porous FGSMEE plate is investigated. © 2018 Elsevier Ltd
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    Assessment of porosity influence on vibration and static behaviour of functionally graded magneto-electro-elastic plate: A finite element study
    (Elsevier Ltd, 2018) Kiran, M.C.; Kattimani, S.C.
    In this paper, the free vibration characteristics and the static behaviour of porous functionally graded magneto-electro-elastic (FGMEE) plate is investigated using finite element method. The porosities arise due to the maladies in the fabrication processes and such porosities or micro-voids are accounted using modified power law. Influence of different porosity distributions on the behaviour of PFGMEE plate are considered in this study. The through thickness variation of material properties is achieved to obtain a functionally graded MEE plate. The coupled constitutive equations along with the principle of virtual work are used to develop a FE model for FGMEE plates. Influence of various porosity distributions on the structural behaviour of the plate is thoroughly investigated. The effect of porosity volume and material gradient index on the free vibration and static behaviour is explicitly studied. This study also includes the evaluation of the effect of geometrical parameters such as thickness ratio, aspect ratio, and boundary condition on the structural characteristics of porous FGMEE plate. © 2018 Elsevier Masson SAS
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    Assessment of Vibrational Frequencies and Static Characteristics of Multilayered Skew Magneto-Electro-Elastic Plates: A Finite Element Study
    (Springer, 2020) Kiran, M.C.; Kattimani, S.C.
    This article presents a finite element (FE) model for free vibration and static analysis of layered skew magneto-electro-elastic (SMEE) plates by incorporating the shear deformation theory. The coupled constitutive equations of the MEE materials are used to derive the FE model accounting the effect of electro-elastic and magneto-elastic couplings. The displacement, electric potential and magnetic potential are considered as primary variables, while the stresses, electric displacement and magnetic induction are derived from the primary variables using constitutive equations. Influence of boundary conditions and material stacking sequences on the natural frequency, displacement and stresses of the SMEE plates has been investigated. Particular emphasis has been put on studying the effect of skew angles and aspect ratios on the natural frequencies, stresses, electric displacement and magnetic induction. The present study reveals that skew angle and aspect ratio significantly influence the structural behavior of SMEE plates. © 2018, Shiraz University.