Nonlinear analysis of chatter vibration in a cylindrical transverse grinding process with two time delays using a nonlinear time transformation method

DOI10.1007/s11071-010-9924-yzbMath1311.70032OpenAlexW2055499161MaRDI QIDQ437110

J. Herrera, H. S. Yoon

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9924-y

zbMATH Keywords

limit cyclesperiodic solutionFourier seriessupercritical bifurcation

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

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Cites Work

• Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
• Response and stability of strongly non-linear oscillators under wide-band random excitation
• A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems
• Effect of regenerative process on the sample stability of a multiple delay differential equation
• A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom
• A perturbation-incremental method for strongly nonlinear oscillators
• An efficient method for switching branches of period-doubling bifurcations of strongly non-linear autonomous oscillators with many degrees of freedom
• A PERTURBATION-INCREMENTAL METHOD FOR DELAY DIFFERENTIAL EQUATIONS
• An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations