外圆磨削颤振通用模型及稳定性研究  

GENERAL MODEL AND STABILITY STUDY OF CYLINDIRCAL GRINDING CHATTER

作　　者：迟玉伦[1] 刘斌[1] 沈奕峰 CHI YuLun;LIU Bin;SHEN YiFeng(College of Mechanical Engineering,University of Shanghai for S&T,Shanghai 200093,China)

机构地区：[1]上海理工大学机械工程学院,上海200093

出　　处：《机械强度》2023年第1期50-59,共10页Journal of Mechanical Strength

基　　金：上海市科学技术委员会项目(17DZ2283300)资助。

摘　　要：为有效解决外圆磨削微颤振问题,提高外圆磨削产品加工质量,基于再生颤振理论建立了一种外圆磨削动力学通用模型,该通用模型引入与砂轮宽度相关的重叠因子,充分考虑工件与砂轮的再生颤振关系,可通用于外圆纵向磨削和外圆切入式磨削;运用牛顿迭代法对带有时滞的超越方程进行数值求解,并结合高斯消元法提升迭代收敛速度,利用延拓算法连续提供有效初始值,提高迭代结果的准确性,可获得准确的磨削稳定性边界。以复杂切入式磨削进行磨削颤振数值模拟计算和实验研究,实验结果表明该通用模型可有效应用于外圆切入磨削颤振过程,通过该模型选择的磨削加工参数可有效避免磨削微振纹现象,可有效提高外圆磨削加工质量和加工效率。In order to effectively solve the chatter problem in cylindrical grinding and improve the product quality, a general dynamic model for cylindrical grinding was established based on the regenerative chatter theory. The overlapping factor related to the width of the grinding wheel was introduced into the general dynamic model to fully consider the regenerative chatter relationship between the workpiece and the grinding wheel, and it can be used in longitudinal grinding and circular cutting grinding. In this model, Newton iterative method was used to solve the transcendental equation with time delay, Gaussian elimination method was used to improve the iterative convergence speed, the continuation algorithm was used to continuously provide effective initial values to improve the accuracy of the iterative results, and the accurate grinding stability boundary was obtained. Finally, an experimental research on the grinding and processing of the plunge grinding micro-chatter was conducted. The experimental results show that the universal model can effectively describe the process of cylindrical plunge-cut grinding chatter, and effectively avoids grinding micro vibration lines phenomenon by the model selection of grinding parameters. The model can be effectively used in improving the quality and the efficiency.

关 键 词：颤振 通用模型 延拓算法 稳定性 

分 类 号：TH161[机械工程—机械制造及自动化]