Abstract

The application of the magnetorheological elastomer (MRE) to nonlinear vibration control for a flexible arm is investigated in this paper. A semiactive control method is suggested to reduce vibration via the internal resonance and the MRE. To establish a vibration energy transfer channel, a tuned vibration absorber based on the MRE is developed. Through adjusting the coil current, the frequency of the vibration absorber can be readily controlled by the external magnetic field, thereby maintaining the internal resonance condition with the flexible arm. By the perturbation analysis, it is proven that the internal resonance can be successfully established between the flexible arm and the MRE vibration absorber, and the vibration energy of the flexible arm can be transferred to and dissipated by the MRE vibration absorber. Through numerical simulations, virtual prototyping simulations, and experimental investigation, it is verified that the proposed method and the suggested MRE vibration absorber are effective in controlling nonlinear vibration of the flexible arm.

Highlights

  • Vibration absorption is a type of effective methods for attenuating strong vibration of the mechanical systems

  • A shear mode vibration absorber with magnetorheological elastomers (MRE) is developed to establish and maintain a vibration energy transfer channel and composed of an oscillator, smart spring elements, an enclosed double E-shape electromagnet conductor, two coils, and so on

  • Its frequency can be readily controlled by adjusting the coil current

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Summary

Introduction

Vibration absorption is a type of effective methods for attenuating strong vibration of the mechanical systems. A number of measures for tuning the frequencies of DVAs have been developed, including tuning the curvature of two parallel curved beams [1], changing effective coil number of a spring [2], controlling the space between two spring leaves [3], adjusting the length of threaded flexible rods [4], changing effective length of a flexible cantilever beam by moving the intermediate support [5], varying the pressure of air springs [6], and adopting a variable magnetic spring controlled by current [7] They are able to successfully adjust the frequencies, most of them face such challenges as large dimensions, large weight, slow adjusting speed, and high energy consumption. Some emerging smart materials have potential to deal with these problems, inducing shape memory alloy [8], magnetorheological elastomers (MRE) [9], and piezoelectric ceramic [10]

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