An Integro-Differential Equation with Variable Delay Arising in Machine Tool Vibration

DOI10.1137/18M1190239zbMath1408.70015WikidataQ115246930 ScholiaQ115246930MaRDI QIDQ4610484

Yanyu Xiao, Feng-Bin Wang, Stephen A. Gourley

Publication date: 23 January 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

delay differential equationchatterspindle speed variationthreshold delay

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Stability for problems in linear vibration theory (70J25) Oscillation theory of functional-differential equations (34K11) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Cites Work

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• Stability Analysis of Turning With Periodic Spindle Speed Modulation Via Semidiscretization
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations

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