Abstract

Dynamic properties and vibration suppression capabilities of an axially moving sandwich beam with a magnetorheological fluid core were investigated in this study. The stress–strain relationship for the magnetorheological fluid was described by a complex shear modulus using linear viscoelasticity theory. First, the dynamic model of an axially moving magnetorheological fluid beam was derived based on Hamilton’s principle. Then, the natural frequency of the sandwich beam for the first mode was determined. Later, the effects of the speed of the axial movement, axial force, applied magnetic field, skin–core thickness ratio, and their combination on the dynamic properties of the sandwich beam with a magnetorheological fluid core were investigated. It was found that these parameters have significant effects on the dynamic properties of the sandwich beam. Moreover, the results indicate that the active control ability of magnetic field has been influenced by the axial force, moving speed, and increasing skin–core thickness ratio.

Highlights

  • Moving beams can represent many engineering devices, such as mechanical arms, automotive belts, band saw blades, and so on

  • Substituting equations (19)–(22) into equation (18), it can be seen that the natural frequency of the axially moving sandwich beam has been influenced by axial velocity, axial force, thickness ratio of skin–core, and the controllable magnetic field strength

  • The dynamic characteristics and vibration suppression capabilities of the magnetorheological fluids (MRFs) cored sandwich beam with various system parameters are investigated

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Summary

Introduction

Moving beams can represent many engineering devices, such as mechanical arms, automotive belts, band saw blades, and so on. In this article, how movements affect the dynamic properties of an axially moving sandwich beam that has integrated an MRF is investigated, and the capability of an MRF core to suppress vibrations is evaluated as well. Ding and Chen[23] obtained the natural frequencies for nonlinear coupled planar dynamics of an axially moving beam in the supercritical speed regime via discrete Fourier transform. Wei et al.[2] studied the vibration control of a flexible rotating sandwich beam with an ER core They assessed the influences of both various electric field strengths and rotating speeds on the natural frequencies of the rotating ER beam. The sandwich structure with an MRF is employed to control vibrations of axially moving beams.

À Cn ln fiðxÞfjðxÞ00dx fiðxÞfjðxÞ0000dx ð17aÞ ð17bÞ ð17cÞ
Results and discussion
Conclusion

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