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http://dx.doi.org/10.12989/csm.2017.6.4.465

A 3D finite element static and free vibration analysis of magneto-electro-elastic beam  

Vinyas., M (Department of Mechanical Engineering, National Institute of Technology Karnataka)
Kattimani, S.C. (Department of Mechanical Engineering, National Institute of Technology Karnataka)
Publication Information
Coupled systems mechanics / v.6, no.4, 2017 , pp. 465-485 More about this Journal
Abstract
In this paper, free vibration and static response of magneto-electro-elastic (MEE) beams has been investigated. To this end, a 3D finite element formulation has been derived by minimization the total potential energy and linear constitutive equation. The coupling between elastic, electric and magnetic fields can have a significant influence on the stiffness and in turn on the static behaviour of MEE beam. Further, different Barium Titanate ($BaTiO_3$) and Cobalt Ferric oxide ($CoFe_2O_4$) volume fractions results in indifferent coupled response. Therefore, through the numerical examples the influence of volume fractions and boundary conditions on the natural frequencies of MEE beam is illustrated. The study is extended to evaluate the static response of MEE beam under various forms of mechanical loading. It is seen from the numerical evaluation that the volume fractions, loading and boundary conditions have a significant effect on the structural behaviour of MEE structures. The observations made here may serve as benchmark solutions in the optimum design of MEE structures.
Keywords
magneto-electro-elastic; volume fractions; piezoelectric and piezomagnetic, free vibration;
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Times Cited By KSCI : 8  (Citation Analysis)
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