Identification of Complex Shear Modulus of MR Layer Placed in Three-Layer Beam – Part 1: Finite Element

Abstract

The paper presents the finite element, which can be used to analyse the vibration of a three–layer beam with magnetorheological (MR) fluid layer. The MR fluid layer was sealed with silicone rubber. On the basis of the analysis of displacements, deformations of each layer has been established. Next, potential and kinetic energy of the three–layer beam were calculated. Because of the complexity of the beam with MR fluid, efficient solutions can be obtained only after discretization of the system. The finite element method was used in the study. For this purpose the mass and stiffness matrices were determined for the proposed linear finite element of two nodes and four degrees of freedom in each node.

Effect of particle sedimentation on the dynamic properties of magnetorheological sandwich beams

“…27 Rajamohan applied LQR controller to damp the free-decay response of a beam. 28 Romaszko and Snamina developed a finite element model for the popular MR sandwich beam model, 29 while Paku ljoined the former two authors to solve the material properties of an MR fluid within an MR-sandwich beam using the beam's experimentally determined modal parameters. 30 Romaszko and Sapiński investigated how the position of an electromagnet along the beam's length (assuming the magnet does not span the beam's entire length) contributed to a change in an MR sandwich beam's modal parameters.…”

Comparison of semi-active damping strategies for magnetorheological sandwich beams

“…22 Romaszko et al studied the effects of different MR fluids on the free-decay response of an MR sandwich beam 23 while Romaszko and Wȩgrzynowski aimed to use the appropriate finite elements to represent an MR fluid for their ANSYS analysis. 24 Romaszko and Snamina then developed a method of calculating the relevant dynamic material properties of an MR fluid by first developing a finite element model of the beam 25 and then (with Paku la joining the previous authors) developing an optimization scheme using the eigenvalue problem that matches experimentally measured modal parameters for a given complex shear modulus. 26 Romaszko and Sapiński then investigated the relationship between the MR fluid dynamic properties to the location of the electromagnet along the beam's length.…”