Sequential Periodic Motions in a Vibration-Assisted, Regenerative, Nonlinear Turning-Tool System

DOI10.1142/S0218127421501868zbMath1504.74033OpenAlexW3204610005MaRDI QIDQ5158788

Albert C. J. Luo, Siyuan Xing

Publication date: 26 October 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501868

zbMATH Keywords

bifurcationperiodic motioneigenvalue analysischatterimplicit mapping methodmachine-tool vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

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Analytical and Experimental Study of the Nonlinear Potentials in a Hindmarsh–Rose Neuron System

Cites Work

• State-dependent delay in regenerative turning processes
• Discretization and implicit mapping dynamics
• Sources of nonlinearities, chatter generation and suppression in metal cutting
• Nonlinear models for complex dynamics in cutting materials
• Frictional chatter in orthogonal metal cutting
• A Semi-analytical Prediction of Periodic Motions in Duffing Oscillator through Mapping Structures
• On a Global Sequential Scenario of Bifurcation Trees to Chaos in a First-Order, Periodically Excited, Time-Delayed System

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