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パラメータ3/2調波振動の解析


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Title: パラメータ3/2調波振動の解析
Other Titles: Analysis of Parametric 3/2-Harmonic Oscillation
Authors: 北川, 隆明 / 富安, 隆一
Authors (alternative): Kitagawa, Takaaki / Tomiyasu, Ryuichi
Issue Date: Dec-1971
Publisher: 長崎大学工学部 / Faculty of Engineering, Nagasaki University
Citation: 長崎大学工学部研究報告, (2), pp.20-28; 1971
Abstract: It is known recently that parametric 3/2-harmonic oscillation occurs when 3/2 times excitation frequency in a self-excited coefficient excitation circuit is in the neighborhood of the resonance frequency of the circuit. In this paper, pararnetric 3/2-harmonic oscillation is discussed analytically by using a nonlinearized Mathieu equation, The fundamental equations concerning with the amplitudes of parametric 3/2-harmonic oscillation assuming the frequency components of 1/2- and 3/2-harmonic oscillations are derived, and discussed graphically. Numerical computations are carried out for the fundamental equations, and response curve, jump phenomenon, and hysteresis for the case when the parameters vary are described. Furthermore, the stability of the periodic solution is analyzed.
URI: http://hdl.handle.net/10069/23756
ISSN: 02860902
Type: Departmental Bulletin Paper
Text Version: publisher
Appears in Collections:No.2

Citable URI : http://hdl.handle.net/10069/23756

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