DocumentCode :
2346521
Title :
Nonlinear dynamics of regenerative cutting processes: comparison of two models
Author :
Wang, Xing-Song ; Hu, Jing ; Gao, Jian-Bo
Author_Institution :
Dept. of Mech. Eng., Southeast Univ., Nanjing, China
Volume :
2
fYear :
2005
fDate :
29-29 June 2005
Firstpage :
667
Abstract :
Understanding the nonlinear dynamics of cutting processes is very important for improving the quality of machining technology. We study machine cutting processes by two different models, one is recently introduced by Litak (2002), the other is the classic delay differential equation model. Well known routes to chaos, such as period-doubling or quasi-periodic motion to chaos are not observed in either model. Chaotic solutions from both models are carefully analyzed, and it is found that the chaotic motion from the Litak´s model resembles more like a periodic motion, has a smaller correlation dimension and a smaller value for the largest positive Lyapunov exponent. Implications to the control of chaos in cutting processes are discussed.
Keywords :
Lyapunov methods; chaos; cutting; cutting tools; differential equations; nonlinear dynamical systems; process control; Lyapunov exponent; chaotic motion; delay differential equation; machine cutting process; machining technology; nonlinear dynamics; period doubling motion; quasi-periodic motion; regenerative cutting processes; Chaos; Degradation; Delay; Differential equations; Employee welfare; Machining; Mechanical engineering; Motion analysis; Process control; Vibration control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Automation, 2005. ICCA '05. International Conference on
Conference_Location :
Budapest
Print_ISBN :
0-7803-9137-3
Type :
conf
DOI :
10.1109/ICCA.2005.1528208
Filename :
1528208
Link To Document :
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