Dynamic analysis of gear system under fractional-order PID control with the feedback of meshing error change rate

DOI10.1007/S00707-018-2194-3zbMath1398.70053OpenAlexW2808632895WikidataQ129672118 ScholiaQ129672118MaRDI QIDQ1798621

Lei Liu, Jiangchuan Niu, Xianghong Li

Publication date: 23 October 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2194-3

zbMATH Keywords

primary resonancesuper-harmonic resonanceincremental harmonic balance methodgear systemfractional-order PID control

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

Describing function method with pointwise balancing in time domain for periodic responses of non-smooth self-excited system ⋮ A novel dynamic modeling method with slice coupling for thin-rimmed gear transmission

Cites Work

• Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order \(PI^{\lambda} D^{\mu}\) feedback controller
• Primary resonance of Duffing oscillator with fractional-order derivative
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method
• Dynamic analysis of piecewise linear oscillators with time-periodic coefficients
• Set‐point weight tuning rules for fractional‐order <scp>PID</scp> controllers
• Nonlinear Vibrations of Piecewise-Linear Systems by Incremental Harmonic Balance Method
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

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