Nonlinear Dynamic Analysis and Chaos Prediction of Grinding Motorized Spindle System

Weitao Jia,Wenwu Wu,Feng Gao,Zhongwei Li,Yan Li

doi:10.1155/2019/9643124

Abstract

The paper determines the impact factors of dynamics of a motorized spindle rotor system due to high speed: centrifugal force and bearing stiffness softening. A nonlinear dynamic model of the grinding motorized spindle system considering the above impact factors is constructed. Through system simulation including phase portraits and Poincaré map, the periodic behavior and chaotic behavior of the nonlinear grinding motorized spindle system are revealed. The threshold curve of chaos motion is obtained through the Melnikov method. The conclusion can provide a theoretical basis for researching deeply the dynamic behaviors of the grinding motorized spindle system.

Highlights

Grinding motorized spindle machining technology has been widely used in ultraprecision and high-speed machine tools that can realize high-speed ultraprecision machining at a low cost, improvement of stability is still an important subject [1]. e unbalance of rotor mass is the main factor affecting the dynamic behavior of the motorized spindle system. e instability of the system results in abnormal operation, serious damage, and even “axle holding” [2, 3]. erefore, analyzing the stability and predicting the threshold curve of chaos motion of motorized spindle system are necessary
Bo et al [10] investigated the dynamic performance of motorized spindle system under centrifugal force and bearing stiffness softening. e results display that the dynamic behavior of the system is affected seriously by the two factors and must be taken into account when modeling the motorized spindle system
Li et al [21] & Sheu et al [22] investigated the nonlinear dynamics of Duffing system. e nonlinear dynamic characteristics of the Duffing system are researched by timedomain diagram, phase portraits, Poincaremap, and bifurcation diagrams

Summary

Introduction

Grinding motorized spindle machining technology has been widely used in ultraprecision and high-speed machine tools that can realize high-speed ultraprecision machining at a low cost, improvement of stability is still an important subject [1]. e unbalance of rotor mass is the main factor affecting the dynamic behavior of the motorized spindle system. e instability of the system results in abnormal operation, serious damage, and even “axle holding” [2, 3]. erefore, analyzing the stability and predicting the threshold curve of chaos motion of motorized spindle system are necessary. E unbalance of rotor mass is the main factor affecting the dynamic behavior of the motorized spindle system. Huihui and Shuyun [8, 9], taking water lubricated motorized spindle as the research object, analyzed the dynamic behavior of the motorized spindle system under the coupling action of the unbalance of rotor mass and bearing tilt effect are studied. E results display that the dynamic behavior of the system is affected seriously by the two factors and must be taken into account when modeling the motorized spindle system. Many scholars have focused on rotor bearing system models, and the main methods for analyzing the dynamic behavior of nonlinear systems include axis orbit, power spectra, phase portraits, Poincare map, and bifurcation diagrams. Many scholars have focused on rotor bearing system models, and the main methods for analyzing the dynamic behavior of nonlinear systems include axis orbit, power spectra, phase portraits, Poincare map, and bifurcation diagrams. e modeling results can predict the stability parameters of the rotor bearing system and avoid the range of unstable motion of the rotor bearing system [16,17,18,19,20]

G Se φ x1

Simulation Analysis

Conclusion