金属切削系统非线性动力学研究进展

doi:10.6040/j.issn.1672-3961.0.2025.325

摘要/Abstract

摘要： 切削颤振是高速、高精密机械加工和制造系统中常见的一种复杂物理现象,具有高维数、非光滑、强非线性、多变参数和时滞效应等特征,属于机械系统动力学研究的重点与难点。非线性是切削系统基本元素,是引发非线性颤振的直接原因,认知非线性动力学有助于揭示切削过程不稳定现象本质,为解决颤振问题提供思路。概述切削系统主要非线性因素,包括切削力和结构、刀具和工件/切屑间摩擦、刀具-工件分离等;归纳非线性模型求解主要方法;以切削过程典型非线性动力学响应为主线,简要介绍有关切削系统周期响应、概周期响应、分岔与混沌研究实例;针对存在问题及未来可能研究方向给出建议和展望。

关键词: 金属切削, 非线性颤振, 分岔, 混沌, 稳定性

Abstract: Cutting chatter is an undesirable dynamic state frequently occurred in high-speed machining and high-precision machining system. As a complex physical phenomenon, cutting chatter has the characteristics of high dimension, non-smooth, strong nonlinear and variable parameters as well as time-delay effect, which makes it becomes the key difficulties and challenges to study for dynamics of mechanical system. The nonlinearity that has always been recognized as an essential element in machining is the direct reason for nonlinear chatter occurrence. Understanding nonlinear dynamics helps to reveal the essence of unstable phenomena in cutting processes and provide ideas for eliminating chatter problems. A critical review of the nonlinearities in machining system including cutting force and machine tool structure, friction between tool and chip/workpiece, loss of contact between tool and workpiece, etc., was presented, and the available approaches for solving nonlinear models were summarized. Nonlinear bifurcation, periodic and quasiperiodic response and chaos phenomena in cutting process wre briefly introduced. Some open problems and a few possible research directions in future were suggested.

Key words: metal cutting, nonlinear chatter, bifurcation, chaos, stability

中图分类号:

TH113.1

任勇生,姚东辉,张金峰. 金属切削系统非线性动力学研究进展[J]. 山东大学学报 (工学版), 2026, 56(5): 154-172.

Ren Yongsheng, Yao Donghui, Zhang Jinfeng. Review on nonlinear dynamics of metal cutting system[J]. Journal of Shandong University(Engineering Science), 2026, 56(5): 154-172.

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