Arbitrary Periodic Motions and Grazing Switching of a Forced Piecewise Linear, Impacting Oscillator

The grazing bifurcation and periodic motion switching of the harmonically forced, piecewise linear system with impacting are investigated. The generic mappings relative to the discontinuous boundaries of this piecewise system are introduced. Based on such mappings, the corresponding grazing conditio...

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Veröffentlicht in:	Journal of vibration and acoustics 2007-06, Vol.129 (3), p.276-284
Hauptverfasser:	Luo, Albert C. J, Chen, Lidi
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Drives Exact sciences and technology Fundamental areas of phenomenology (including applications) Gears Mechanical engineering. Machine design Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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creator	Luo, Albert C. J Chen, Lidi
description	The grazing bifurcation and periodic motion switching of the harmonically forced, piecewise linear system with impacting are investigated. The generic mappings relative to the discontinuous boundaries of this piecewise system are introduced. Based on such mappings, the corresponding grazing conditions are obtained. The mapping structures are developed for the analytical prediction of periodic motions in such a system. The local stability and bifurcation conditions for specified periodic motions are obtained. The regular and grazing, periodic motions are illustrated. The grazing is the origin of the periodic motion switching for this system. Such a grazing bifurcation cannot be estimated through the local stability analysis. This model is applicable to prediction of periodic motions in nonlinear dynamics of gear transmission systems.
doi_str_mv	10.1115/1.2424971
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Such a grazing bifurcation cannot be estimated through the local stability analysis. This model is applicable to prediction of periodic motions in nonlinear dynamics of gear transmission systems.</description><subject>Applied sciences</subject><subject>Drives</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Gears</subject><subject>Mechanical engineering. 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subjects	Applied sciences Drives Exact sciences and technology Fundamental areas of phenomenology (including applications) Gears Mechanical engineering. Machine design Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title	Arbitrary Periodic Motions and Grazing Switching of a Forced Piecewise Linear, Impacting Oscillator
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