Nonlinear models of chatter in drilling processes

DOI10.1080/14689360110105788zbMath1095.70011OpenAlexW2031111328MaRDI QIDQ4432899

Abe Askari, Emily F. Stone

Publication date: 2002

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360110105788

zbMATH Keywords

friction lawvibrational instabilityaxial torsional mode

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Problems involving a system of particles with friction (70F40)

Related Items (8)

Computable error bounds for approximate periodic solutions of autonomous delay differential equations ⋮ Stability and bifurcation analysis in the delay-coupled nonlinear oscillators ⋮ Versal unfoldings for linear retarded functional differential equations. ⋮ Symbolic computation of normal form for Hopf bifurcation in a retarded functional differential equation with unknown parameters ⋮ Global Hopf bifurcation of differential equations with threshold type state-dependent delay ⋮ NOISE-SENSITIVITY IN MACHINE TOOL VIBRATIONS ⋮ On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation ⋮ Delay induced canards in a model of high speed machining

Cites Work

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• Design and modeling for chatter control
• Analysis of nonlinear vibrations in metal cutting
• Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modelling
• Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
• Modelling and simulation of high‐speed machining

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