Nonlinear models for complex dynamics in cutting materials

DOI10.1098/rsta.2000.0751zbMath0998.74038OpenAlexW2157532279MaRDI QIDQ2748559

Tamás Kalmár-Nagy, Francis C. Moon

Publication date: 16 October 2001

Published in: Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2000.0751

zbMATH Keywords

hysteresischaotic dynamicsbifurcationquasi-periodic solutionscutting forcematerial cuttingnonlinear dynamical modelssubcritical Hopf instabilities

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Stability of dynamical problems in solid mechanics (74H55) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)

Related Items (10)

Stability of switched nonlinear systems with delay and disturbance ⋮ Influence of Tool Flank Forces on Complex Dynamics of Cutting Process ⋮ Integrated approach for prediction of stability limits for machining with large volumes of material removal ⋮ Robust stability of switched nonlinear systems with delay and sampling ⋮ Sequential Periodic Motions in a Vibration-Assisted, Regenerative, Nonlinear Turning-Tool System ⋮ Infinite dimensional slow modulations in a well known delayed model for cutting tool vibrations ⋮ Effects of bearing clearance on the chatter stability of milling process ⋮ Nonlinear behaviour of the regenerative chatter in turning process with a worn tool: forced oscillation and stability analysis ⋮ Cutting process dynamics by nonlinear time series and wavelet analysis ⋮ Vibration absorber design to suppress regenerative chatter in nonlinear milling process: application for machining of cantilever plates

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