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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 11, 2005 - Issue 3
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Original Articles

Non-linear oscillations of milling

B. Balachandran
&
D. Gilsinn National Institute of Standards and Technology, Gaithersburg, MD, USA
Pages 273-290 | Published online: 16 Feb 2007

Citations (26)

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Xinong En, Yimin Zhang, Xianzhen Huang, Yuxiong Li & Guodong Yang. (2022) Time-varying reliability and global sensitivity analysis of regenerative chatter stability in turning considering tool wear. Mechanics Based Design of Structures and Machines 50:12, pages 4084-4104.
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Chinh Ngo, Jeehyun Jung, Chuong Nguyen & Jongwon Seok. (2017) An accurate regenerative chatter model in the ball-end milling process that considers high feed rate and shallow axial immersion conditions. Mathematical and Computer Modelling of Dynamical Systems 23:5, pages 453-475.
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Articles from other publishers (24)

Yongjian Ji, Liyong Wang, Yue Song, Hongjun Wang & Zhibing Liu. (2022) Investigation of robotic milling chatter stability prediction under different cutter orientations by an updated full-discretization method. Journal of Sound and Vibration 536, pages 117150.
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Jinqiu Pan, Che Chen, Zhibing Liu & Xibin Wang. (2021) Multi-feature extraction and analysis for boring chatter monitoring. The International Journal of Advanced Manufacturing Technology 117:9-10, pages 3129-3136.
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Yan Xia, Yi Wan, Xichun Luo, Zhanqiang Liu & Qinghua Song. (2021) An improved numerical integration method to predict the milling stability based on the Lagrange interpolation scheme. The International Journal of Advanced Manufacturing Technology 116:7-8, pages 2111-2123.
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Lu-Yi Han, Ri-Liang Liu & Xin-Feng Liu. (2021) Modal parameter determination and chatter prediction for blade whirling: a comparative study based on symmetric and asymmetric FRF. Advances in Manufacturing 9:1, pages 145-159.
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Yuebang Dai, Hongkun Li, Guowei Yang & Defeng Peng. (2021) A novel method with Newton polynomial-Chebyshev nodes for milling stability prediction. The International Journal of Advanced Manufacturing Technology 112:5-6, pages 1373-1387.
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Q.X. Liu, J.K. Liu & Y.M. Chen. (2020) An analytical criterion for alternate stability switches in nonlinear oscillators with varying time delay. International Journal of Non-Linear Mechanics 126, pages 103563.
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Xiaoqing Tian, Ruofeng Chen, Hong Jiang, Fangfang Dong, Lei Lu, Jiang Han & Lian Xia. (2020) Detection and visualization of chatter in gear hobbing based on combination of time and frequency domain analysis. The International Journal of Advanced Manufacturing Technology 111:3-4, pages 785-796.
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Zhongpeng Zheng, Xin Jin, Yewang Sun, Zhijing Zhang, Hongchang Sun & Qiming Li. (2020) Prediction of chatter stability for enhanced productivity in parallel orthogonal turn-milling. The International Journal of Advanced Manufacturing Technology 110:9-10, pages 2377-2388.
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Zhenghu Yan, Changfu Zhang, Xinguang Jiang & Baoji Ma. (2020) Comparison of the full-discretization methods for milling stability analysis by using different high-order polynomials to interpolate both state term and delayed term. The International Journal of Advanced Manufacturing Technology 108:1-2, pages 571-588.
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Kaibo Lu, Yongqiang Wang, Fengshou Gu, Xinyu Pang & Andrew Ball. (2019) Dynamic modeling and chatter analysis of a spindle-workpiece-tailstock system for the turning of flexible parts. The International Journal of Advanced Manufacturing Technology 104:5-8, pages 3007-3015.
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Jiangchuan Niu, Guichun Ning, Yongjun Shen & Shaopu Yang. (2019) Detection and identification of cutting chatter based on improved variational nonlinear chirp mode decomposition. The International Journal of Advanced Manufacturing Technology 104:5-8, pages 2567-2578.
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Kai Zhou, Jianfu Zhang, Chao Xu, Pingfa Feng & Zhijun Wu. (2018) Effects of helix angle and multi-mode on the milling stability prediction using full-discretization method. Precision Engineering 54, pages 39-50.
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Yongjian Ji, Xibin Wang, Zhibing Liu, Hongjun Wang, Li Jiao, Lu Zhang & Tao Huang. (2018) Milling stability prediction with simultaneously considering the multiple factors coupling effects—regenerative effect, mode coupling, and process damping. The International Journal of Advanced Manufacturing Technology 97:5-8, pages 2509-2527.
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Xianzhen Huang, Mingwei Hu & Yimin Zhang. (2017) An approach for optimization of turning parameters considering uncertainty parameters. The International Journal of Advanced Manufacturing Technology 93:9-12, pages 3339-3346.
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Kai Zhou, Pingfa Feng, Chao Xu, Jianfu Zhang & Zhijun Wu. (2017) High-order full-discretization methods for milling stability prediction by interpolating the delay term of time-delayed differential equations. The International Journal of Advanced Manufacturing Technology 93:5-8, pages 2201-2214.
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Zhenghu Yan, Xibin Wang, Zhibing Liu, Dongqian Wang, Li Jiao & Yongjian Ji. (2017) Third-order updated full-discretization method for milling stability prediction. The International Journal of Advanced Manufacturing Technology 92:5-8, pages 2299-2309.
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Mohammad Mahdi Jalili, Reza Fazel & Mohammad Mahdi Abootorabi. (2016) Simulation of chatter in plunge grinding process with structural and cutting force nonlinearities. The International Journal of Advanced Manufacturing Technology 89:9-12, pages 2863-2881.
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Xianzhen Huang, Mingwei Hu, Yimin Zhang & Chunmei Lv. (2016) Probabilistic analysis of chatter stability in turning. The International Journal of Advanced Manufacturing Technology 87:9-12, pages 3225-3232.
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Jinbo Niu, Ye DingLiMin Zhu & Han Ding. (2016) Stability Analysis of Milling Processes With Periodic Spindle Speed Variation Via the Variable-Step Numerical Integration Method. Journal of Manufacturing Science and Engineering 138:11.
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Ye Ding, Jinbo Niu, LiMin Zhu & Han Ding. (2016) Numerical Integration Method for Stability Analysis of Milling With Variable Spindle Speeds. Journal of Vibration and Acoustics 138:1.
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Xinhua Long & B. Balachandran. (2017) Stability of Up-milling and Down-milling Operations with Variable Spindle Speed. Journal of Vibration and Control 16:7-8, pages 1151-1168.
Crossref
Eric Butcher & Brian Mann. 2009. Delay Differential Equations. Delay Differential Equations 93 129 .
X.-H. Long & B. Balachandran. (2007) Stability analysis for milling process. Nonlinear Dynamics 49:3, pages 349-359.
Crossref
X.-H. Long, B. Balachandran & B. P. Mann. (2006) Dynamics of milling processes with variable time delays. Nonlinear Dynamics 47:1-3, pages 49-63.
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