Dynamics of milling processes with variable time delays

By X. Long, B. Balachandran, Brian P. Mann. 2006

117 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/5e8326fd25db55523ea48a9223f9e43a5bbb2263

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In Biomedical Engineering

In Mechanical Engineering

Citations in the corpus

State-dependent delay in regenerative turning processes (2006, unknown): “Long and Balachandran [14, 15] pointed out that, in an accurate model of the milling process, the regenerative delay is timedependent due to the feed rate and the consequent trochoidal path of the teeth.”
Complete discretization scheme for milling stability prediction (2013, methodology): “[20] presented a milling model of variable time delay with each cutting tooth and used the semidiscretization scheme for analyzing the stability of periodic orbits, and their results provide evidence of period-doubling bifurcations and secondary Hopf bifurcations.”
Multiple regenerative effects in cutting process and nonlinear oscillations (2014, background): “Furthermore, a regenerative cutting process may be subject to nonlinear effects such as thickness-dependent cutting forces [6,7,12,13,15], dry friction [11,17,18,21], loss of contact [6–8,11,12,15,17–19], nonlinear structural effects [9], and varying time-delay effects [6,11,14,19].”
Stability of Up-milling and Down-milling Operations with Variable Spindle Speed (2010, background): “…and Fishwick, considerable research has been conducted on predicting the stability charts for constant speed machining operations (Minis and Yanushevsky, 1993 Altintas and Budak, 1995 Balachandran and Zhao, 2000 Balachandran, 2001 Mann et al., 2003 Balachandran and Gilsinn, 2005 Long et al., 2007).”
On the stability of high-speed milling with spindle speed variation (2010, methodology): “The semidiscretization method was already used for milling models with varying regenerative delays in [38] and [39]; however, in these models, the spindle speed was constant, and the variation of the delay arose due to the accurate modeling of the feed motion.”
Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels (2009, background): “CND-08-1016, Butcher 4 recently, the milling process has been investigated for the special cases of variable timedelays [25], variable pitch [26], and state-dependent regenerative delay [27].”
On the higher-order semi-discretizations for periodic delayed systems (2008, unknown): “[9] and Faassen et al.”