Delay equations with fluctuating delay related to the regenerative chatter II: analysis of reduced bifurcation equation

In this article, we study the reduced bifurcation equations of the nonlinear delay differential equations with periodic delays, which models the machine tool chatter with continuously modulated spindle speed to determine the periodic solutions and analyze the tool motion. Analytical results show bot...

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Bibliographic Details
Published in:Applicable analysis 2005-06, Vol.84 (6), p.631-647
Main Authors: Demir, Ali, Hasanov, Alemdar, Sri Namachchivaya, N.
Format: Article
Language:English
Subjects:
AMS Subject Classifications: 34C35
Bifurcation equation
Periodic solutions
Stability boundaries
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Summary:In this article, we study the reduced bifurcation equations of the nonlinear delay differential equations with periodic delays, which models the machine tool chatter with continuously modulated spindle speed to determine the periodic solutions and analyze the tool motion. Analytical results show both modest increase of stability and existence of periodic solutions close to the new stability boundary.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810500047345