弗洛奎特理论
插值(计算机图形学)
理论(学习稳定性)
拉格朗日插值法
水准点(测量)
基质(化学分析)
数学
应用数学
系数矩阵
控制理论(社会学)
期限(时间)
数学优化
计算机科学
算法
数学分析
特征向量
复合材料
地理
材料科学
机器学习
动画
控制(管理)
非线性系统
人工智能
计算机图形学(图像)
物理
多项式的
量子力学
大地测量学
作者
Chengjin Qin,Jianfeng Tao,Chengliang Liu
标识
DOI:10.1177/0954406218815716
摘要
Currently, accurate and efficient determination of chatter-free cutting conditions is becoming increasingly important. This paper proposes a semi-analytical stability prediction method for milling processes using the holistic-interpolation scheme. The dynamics considering regeneration effect for milling operations is formulated as delay differential equations with time-periodic coefficients. The period of milling dynamic system is divided into two time periods according to the value of the coefficient matrix. On each small time interval for the forced vibration time period, the holistic-interpolation method is utilized by approximating the state term, the delay term, and the time-periodic parameter matrix as a whole unit with the second-order Lagrange interpolating polynomials. Then the Floquet transition matrix can be semi-analytically constructed for milling stability prediction according to Floquet theory. Finally, the benchmark examples of milling models are utilized to validate the effectiveness of the proposed method, which shows that the proposed algorithm achieves both high computational accuracy and efficiency.
科研通智能强力驱动
Strongly Powered by AbleSci AI