Abstract
The suppression of regenerative chatter by spindle speed variation is attracting increasing attention. In this paper, we study nonlinear delay differential equations with periodic delays which model the machine tool chatter with continuously modulated spindle speed. We make use of the center manifold reduction and the method of normal forms to determine the periodic solutions and analyze the tool motion. Analytical results are very close to those obtained experimentally.
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References
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Namachchivaya, N.S., Beddini, R., Van Roessel, H.J., Wustrack, S. (2005). Delay Equations with Fluctuating Delay: Application to Variable Speed Machining. In: Rega, G., Vestroni, F. (eds) IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics. Solid Mechanics and its Applications, vol 122. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3268-4_34
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DOI: https://doi.org/10.1007/1-4020-3268-4_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3267-7
Online ISBN: 978-1-4020-3268-4
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