Research on Dynamic Balance of Spindle Rotor System Based on Particle Swarm Optimization

Zhan Wang,Dongzheng Li,Zinan Wang,Aoxiang Liu,Ruiyao Tao,Georgios I Giannopoulos

doi:10.1155/2021/9728248

Zhan Wang, Dongzheng Li + Show 4 more

Open Access

https://doi.org/10.1155/2021/9728248

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Abstract

The dynamic balance is a significant issue for the nonlinear dynamic characteristics of the spindle rotor system. However, there is a problem that the dynamic balance is lacking detailed study on optimization method. In the paper, a modal dynamic balance optimization model of spindle rotor system is proposed, which can intend to improve the accuracy of spindle rotor system modal dynamic balance. Because the multiorder unbalance components are the main spindle rotor system mode shapes, the particle swarm optimization (PSO) method is adopted. The sum of squares of residual vibration after balancing is taken as the optimization objective, and the correction is presented as the optimization variable in the optimization model. The optimal correction weight of every unbalance component is calculated through a modal matrix equation of PSO. The vibration amplitude that is greatly reduced after optimization balance is presented under different conditions. The balancing effect shows a better dynamic characteristic than that of traditional methods. And the fluctuation range of the axis track of the rotor system also shows reductive phenomenon. The proposed optimization spindle rotor system model is well verified through experiments. It can contribute a theoretical optimization foundation for available dynamic balance in spindle rotor system.

Highlights

Rotor system dynamic output characteristics determine the precision machining of aerospace, petrochemical, high speed railway, and other fields
Chen et al [8] gave a specific explanation of the periodic solution and quasi-periodic solution of the system through combining multiple harmonic balance method with Runge–Kutta method. e nonlinear dynamic characteristics of rotor system were revealed under double excitation
When the speed is 6000 r/min, through PSO balance method, the amplitude of the frequency domain compared with balance modal method and without balance decreased by 39.68% and 44.66%. e results show that the rotor system balancing method based on particle swarm optimization is effective

Summary

Introduction

Rotor system dynamic output characteristics determine the precision machining of aerospace, petrochemical, high speed railway, and other fields. E key issue in spindle rotor system can improve the dynamic balance effect through some optimization method. Due to the nonlinear dynamic characteristics in high speed condition, some algorithm methods need to be used in the performance of rapidly suppressing vibration. Li et al [15] developed a modal dynamic balance method for high speed flexible rotor without trial weight, and the unbalance amount and azimuth of rotor system were rapidly obtained by the optimized method. In order to analyze the dynamic balance effect on the spindle rotor system vibration, in the paper, the modal dynamic balance optimization model is adapted. Since this paper takes the sum of squares of residual vibration after balancing as the optimization objective, considering multiorder unbalance components, the correction parameters of each order after modal balance of spindle rotor system are optimized through particle swarm optimization algorithm. A specific study is performed on the influence of the rotor system nonlinear dynamic behavior, which offers a theoretical optimization foundation for available dynamic balance in spindle rotor system

Modal Balance Method Based on Particle Swarm Optimization

Simulation Analysis of the Spindle Rotor System

Findings

Experimental Verification