Abstract
A novel nonlinear energy sink (NES) consisting of permanent magnetic springs and coil springs is proposed, and the vibration attenuation performance of the NES for unbalanced rotor system is investigated. Firstly, the nonlinearity of the magnet spring is analyzed and the structure of the NES is introduced. Then, the dynamic model of the rotor system with the NES is built, and the responses and stabilities of the system are studied by applying Complexification-averaging method. The strongly modulated responses (SMR) behavior, which is the most important performance characteristic of the NES, is analytically studied by combining Complexification-averaging method and multiscale method and numerically verified by Runge-Kutta method. The results show that the NES is effective in attenuating the vibration of unbalanced rotor, and the SMR occurrence range can be broadened by increasing the nonlinearity of the NES. And also, the NES has better performance over a wider frequency range than the linear absorber.
Highlights
Excessive vibration of rotor system is an important factor which can lead to instability of rotating machinery
Many studies have been carried out: [5] proposed a vertical vibration absorber which is mounted on the support of rotating Rayleigh beam; [6] developed a magnetic based dynamic absorber combining negative stiffness with conventional positive stiffness for rotor system vibration suppression; [7] adopted vibration absorber to eliminate the self-vibration of milling process
The outer magnets and central magnets are mounted in repulsive interaction, so a repulsive force in radial direction can occur and the central magnet acts as a spring with negative stiffness
Summary
Excessive vibration of rotor system is an important factor which can lead to instability of rotating machinery. Many studies have been carried out: [5] proposed a vertical vibration absorber which is mounted on the support of rotating Rayleigh beam; [6] developed a magnetic based dynamic absorber combining negative stiffness with conventional positive stiffness for rotor system vibration suppression; [7] adopted vibration absorber to eliminate the self-vibration of milling process. Shock and Vibration presented nonlinear energy sinks which are mounted on journal bearings in both vertical and horizontal direction; [25] proposed nonlinear energy sink to unbalanced hollow rotor system to reduce the whirling vibration; [26] investigated the performance of a smooth NES to mitigate vibration of a rotating beam under an external force. A novel NES made up of permanent magnetic spring and coil springs is proposed and its dynamics are investigated analytically and numerically; the performance of the NES and the affecting parameters for SMR behavior occurrence are studied
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