Vibration Suppression of a Principal Parametric Resonance

DOI10.1177/1077546308091217zbMath1272.74318OpenAlexW2118645023MaRDI QIDQ2850580

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Publication date: 27 September 2013

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546308091217

zbMATH Keywords

vibration controlparametric excitationactuator saturationbifurcation control

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

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Cites Work

• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
• The nonlinear response of a slender beam carrying a lumped mass to a principal parametric excitation: Theory and experiment
• Nonlinear non-planar parametric responses of an inextensional beam
• Damping of parametrically excited single-degree-of-freedom systems
• Bifurcation control of parametrically excited Duffing system by a combined linear-plus-nonlinear feedback control
• Stability region for a class of open-loop unstable linear systems: Theory and application
• Method of averaging for systems bounded for positive time
• Parametric excitation of two internally resonant oscillators
• Experimental Evidence of Quasiperiodicity and Its Breakdown in the Column-Pendulum Oscillator
• Elements of applied bifurcation theory
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