Vibration analysis of a partially treated laminated composite magnetorheological fluid sandwich plate

Abstract

In this study, the vibration responses of a partially treated laminated composite magnetorheological (MR) fluid sandwich plate have been investigated. The governing differential equations of motion for a partially treated laminated sandwich plate embedding MR fluid and rubber as the core layer and the laminated composite plate as the face layers are presented in finite element formulation. The validity of the developed finite element formulation is demonstrated by comparing the results in terms of natural frequencies derived from the present finite element formulation with the experimental measurements. Various configurations of a partially treated laminated composite MR fluid sandwich plate are considered to study the effect of location and size of the MR fluid segment under various boundary conditions. The effect of magnetic field on the variation of natural frequencies and loss factor of the partially treated laminated composite MR fluid sandwich plate are also analyzed for various configurations at different boundary conditions. The free vibration mode shapes of various configurations of a partially treated laminated composite MR fluid sandwich plate are also presented. The forced vibration responses of the various configuration of a partially treated laminated composite MR fluid sandwich plate are also analyzed under harmonic force excitations. This analysis suggests that the natural frequency, loss factor and transverse displacements of the partially treated laminated composite MR fluid sandwich plate are strongly influenced by the location and size of the MR fluid segment apart from the intensities of the applied magnetic field. The application of the partial treatment alters the deflection pattern of the sandwich plate, particularly the location of peak deflection, which shows that it can be applied to critical components of a large structure to realize a more efficient and compact vibration control mechanism with variable damping.

Dynamic characterization of tapered laminated composite sandwich plates partially treated with magnetorheological elastomer

“…For numerical simulation, the material and geometrical properties for partially treated uniform laminated composite MRF sandwich plate (0°/90°/0°/MRF and natural rubber/0°/90°/0°) presented in Ramamoorthy et al. [23] were considered such that: E 1 = 27.83 GPa; E 2 = 9.52 GPa; ν 12 = 0.29; ν 21 = 0.099; G 12 = 2.634 GPa; ρ t = ρ b = 2078 kg/m 3 ; ρ cf = 2812 kg/m 3 ; ρ cr = 910 kg/m 3 ; L = 0.3 m; B = 0.3 m. The thickness of top, bottom and core layers were considered as 1.3 mm, 1.3 mm and 1 mm, respectively. The storage modulus and the loss modulus were G'=-0.05035G2+428.355G+858.8 and G″=-0.057G2+452.105G+848.35, respectively.…”

“…Ramamoorthy et al. [23] presented the numerical simulation on a laminated composite sandwich plate partially treated with MRF and concluded that natural frequencies could be increased with partial treatment of MRF pockets instead of treating MRF fully. Dyniewicz et al.…”

Impact Analysis of MR-Laminated Composite Structures

“…The governing equations of MR adaptive beam were formulated in the finite element form and also by Ritz method. Ramamoorthy et al [20] investigated vibration responses of a partially treated laminated composite plate integrated with MR fluid segment. The governing differential equations of motion for partially treated laminated plate with MR are presented in finite element formulation.…”

Adaptive Damping of a Double‐Beam Structure Based on Magnetorheological Elastomer

“…Vemuluri et al [24] studied the dynamic performance of a tapered sandwich plate partially treated with an MRE layer. e laminated composite plate with an MR fluid was investigated by Ramamoorthy et al [36]. de Souza Eloy et al [22] investigated numerically and experimentally sandwich panels with carbon/epoxy composite skins and a magnetorheological elastomer (MRE) honeycomb core.…”