Dynamics of milling processes with variable time delays

A milling-process model with a variable time delay associated with each cutting tooth is presented in this article. The source of this variable time delay is the feed rate. The effect of the feed motion on the entry cutting angle, the exit cutting angle, and the amplitude of feed mark is also discus...

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Bibliographic Details
Published inNonlinear dynamics Vol. 47; no. 1-3; pp. 49 - 63
Main Authors Long, X-H, Balachandran, B, Mann, B P
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.01.2007
Subjects
Animal behavior
Bifurcations
Contact angle
Cutting parameters
Differential equations
Feed rate
Hopf bifurcation
Orbital stability
Orbits
Stability analysis
System dynamics
Time lag
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Summary:A milling-process model with a variable time delay associated with each cutting tooth is presented in this article. The source of this variable time delay is the feed rate. The effect of the feed motion on the entry cutting angle, the exit cutting angle, and the amplitude of feed mark is also discussed. Loss-of-contact effects are also considered. The system dynamics is described by a set of delay differential equations with periodic coefficients and variable time delays. A semi-discretization scheme is presented for analyzing the stability of periodic orbits of this system. The analysis provides evidence of period-doubling bifurcations and secondary Hopf bifurcations. Good agreement is found between the numerical results obtained from this work and the results of related experimental studies.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-006-9058-4