2000
DOI: 10.1088/0964-1726/9/1/305
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On vibration suppression of magnetostrictive beams

Abstract: Laminated composite beams containing magnetostrictive layers are modeled as distributed parameter systems and the magnetostrictive layers are used to control the vibration suppression. Velocity feedback with constant gain distributed controller is chosen to achieve vibration suppression. A general formulation of the problem based on classical and shear deformation (the first-order as well as the third-order) theories is presented, and analytical solutions of the equations are developed for simply supported bou… Show more

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Cited by 84 publications
(52 citation statements)
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“…Kumar et al [16] have analysed the damping characteristics obtained using a distributed magnetostrictive layer bonded to an aluminium beam for different boundary conditions and coil configurations, using a finite element formulation, physically consistent with the problem. A similar work has been carried out by Reddy and Barbosa [17] to study the vibration control of flexible beams, by promoting a spatially varying current throughout the length of the coil. Kannan and Dasgupta [18] presented a quasi-static variational principle and finite element scheme to model the nonlinear interactions between mechanical and magnetic fields in magnetostrictive materials.…”
Section: Introductionmentioning
confidence: 88%
“…Kumar et al [16] have analysed the damping characteristics obtained using a distributed magnetostrictive layer bonded to an aluminium beam for different boundary conditions and coil configurations, using a finite element formulation, physically consistent with the problem. A similar work has been carried out by Reddy and Barbosa [17] to study the vibration control of flexible beams, by promoting a spatially varying current throughout the length of the coil. Kannan and Dasgupta [18] presented a quasi-static variational principle and finite element scheme to model the nonlinear interactions between mechanical and magnetic fields in magnetostrictive materials.…”
Section: Introductionmentioning
confidence: 88%
“…Some common applications of the SMA fibres and SMA composites are in active vibration control [31], active buckling control, shape / motion control and artificial muscle. SMA composites can be fabricated using SMA fibres such that the material can be easily stiffened or controlled by passing electric current, which heats the SMA above the transition temperature.…”
Section: Shape Memory Alloys (Sma) and Shape Memory Polymers (Smp)mentioning
confidence: 99%
“…Substituting Equations (4) and (5) into Equation (3), the elastic strain in any layer of the composite laminate takes the form; e-U'-yV11-8CV (5) where, 5' is 1 for the active layer and zero for the others. The constitutive relationship for different layers of the laminated beam is given by; = Em (1 + J7m )e (Magnetostrictive Layer) (6) = Epas (1 + J Tlpas )e (Passive Damping Coating) (7) o. = Q11(1+ J7h )e (kt layer of the laminate) (8) where, i7 denotes the loss-factor, v the Poisson's ratio and Q, are elastic constants8.…”
Section: Hhmentioning
confidence: 99%