外圆磨削颤振的非线性动力学研究  

Nonlinear dynamics of chatter in cylindrical grinding

作　　者：韩刚[1] 张紫轩 王红艳 乔羽 HAN Gang;ZHANG Zi-xuan;WANG Hong-yan;QIAO Yu(School of Mechanical and Electronic Engineering,Qiqihar University,Heilongjiang Qiqihar 161006,China;Three Tree Rolling Stock Depot,China Railway Harbin Group Co.,Ltd.,Heilongjiang Jiamusi 154000,China)

机构地区：[1]齐齐哈尔大学机电工程学院,黑龙江齐齐哈尔161006 [2]中国铁路哈尔滨局集团有限公司三棵树车辆段,黑龙江佳木斯154000

出　　处：《齐齐哈尔大学学报（自然科学版）》2024年第6期1-7,13,共8页Journal of Qiqihar University(Natural Science Edition)

基　　金：黑龙江省省属本科高校基本科研业务费项目(135109208);齐齐哈尔大学教育科研项目(GJQTZX2021007)。

摘　　要：研究单自由度非线性磨削系统颤振的动态分岔响应。建立具有再生和时滞效应切削力的磨削系统动力学模型,对该磨削系统进行线性稳定性分析,给出平衡点发生动态(霍普)分岔的条件和临界参数值。采用多尺度法在临界参数值局部进行摄动分析,讨论平衡点发生亚临界和超临界的霍普分岔条件以及复杂分岔响应行为,给出抑制系统颤振的三次恢复力刚度系数的调整策略。The dynamic bifurcation response of a single degree of freedom nonlinear grinding system is studied.A dynamic model of the grinding system with regenerative and time-delay effect cutting forces is established.The linear stability of the grinding system is analyzed,and the conditions and critical parameters of the dynamic(Hopf)bifurcation of the equilibrium point are given.Furthermore,the multi-scale method is used to carry out perturbation analysis in the local critical parameter values,and the conditions for the occurrence of subcritical and supercritical Hopf bifurcation at the equilibrium point and the response behavior of complex bifurcation are discussed.The change strategy of the stiffness coefficient of the third order restoring force required to suppress system chatter is given.

关 键 词：磨削颤振 再生效应 时滞效应 霍普夫分岔 非线性振动 

分 类 号：O322[理学—一般力学与力学基础]