Nonlinear Dynamics

, Volume 49, Issue 3, pp 349–359 | Cite as

Stability analysis for milling process

  • X.-H. Long
  • B. Balachandran
Original Article


In this article, the stability of a milling process is studied by using a semi-discretization method. The model of the workpiece–tool system includes loss-of-contact effects between the workpiece and the tool and time-delay effects associated with the chip-thickness variation. In addition, feed-rate effects are also considered. The governing system of equations is a non-autonomous, delay-differential system with time-periodic coefficients. Stability of periodic orbits of this system is studied to predict the onset of chatter and numerical evidence is provided for period-doubling bifurcations and secondary Hopf bifurcations. Stability charts generated using the semi-discretization method are found to compare well with the corresponding results obtained through time-domain simulations.


Stability Milling process Time delay Chatter 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • X.-H. Long
    • 1
  • B. Balachandran
    • 2
  1. 1.The State Key Lab of Vibration, Shock & Noise ShanghaiJiao Tong UniversityShanghaiP R China
  2. 2.Department of Mechanical EngineeringUniversity of MarylandCollege ParkUSA

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