Parametric Excitation with an Asymmetric Characteristic in a Self-exciting System

Behaviors of a self-exciting system of van der Pol type subjected to a parametric excitation are investigated. In the present paper the parametric excitation is expressed by the product of a nonlinear function of deflection with an asymmetric characteristic and a periodic function of time. A resonan...

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Veröffentlicht in:	Bulletin of JSME 1986, Vol.29(249), pp.902-907
Hauptverfasser:	YANO, Sumio, KOTERA, Tadashi, HIRAMATSU, Tsutomu
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymmetricity Parametric Excitation Resonance of Order l Self-exciting System Theory of Vibration
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description	Behaviors of a self-exciting system of van der Pol type subjected to a parametric excitation are investigated. In the present paper the parametric excitation is expressed by the product of a nonlinear function of deflection with an asymmetric characteristic and a periodic function of time. A resonance of order 1/2 and the solution in the neighborhood of the resonance are obtained by the averaging method and the effects of nonlinearity are investigated. since a squared nonlinearity merely makes the resonance have a constant component, it is found that a cubic nonlinearity plays a more important part in the occurrence of the resonance.
doi_str_mv	10.1299/jsme1958.29.902
format	Article
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In the present paper the parametric excitation is expressed by the product of a nonlinear function of deflection with an asymmetric characteristic and a periodic function of time. 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source	Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese
subjects	Asymmetricity Parametric Excitation Resonance of Order l Self-exciting System Theory of Vibration
title	Parametric Excitation with an Asymmetric Characteristic in a Self-exciting System
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