Periodic Solutions and the Stability in a Non-linear Parametric Excitation System : 2nd Report, Consideration of Solutions in the Neighborhood of Resonance of Order 1

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概要

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• Behaviors of a parametrically excited system with a self-excitation are investigated by analyzing a differential equation of van der Pol-Mathieu type. Beat phenomena are observed in the neighborhood of parametric resonance of order land their two kinds of approximate solutions are obtained. The comparison between them and a solution by Runge-Kutta-Gill method are performed and it is found that the existence of a solution approximated by two components is limited to a narrow region of frequencies. The character on the waveforms and frequency components is considered in detail.

• 一般社団法人日本機械学会の論文

著者

• Kotera Tadashi

  Faculty Of Engineering Fnkui University

• Kotera Tadashi

  Faculty Of Eng. Kobe University

• YANO Sumio

  Faculty of Engineering, Fnkui University

• HIRAMATSU Tsutomu

  Faculty of Engineering, Kobe University

• Yano Sumio

  Faculty Of Engineering Fnkui University

• Hiramatsu Tsutomu

  Faculty Of Engineering Kobe University

関連論文

• Parametric Excitation with an Asymmetric Characteristic in a Self-exciting System
• Periodic Solutions and the Stability in a Non-linear Parametric Excitation System : 2nd Report, Consideration of Solutions in the Neighborhood of Resonance of Order 1
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• Parametric Excitation in a Self-exciting System : 2nd Report, Behaviors in the Regions of Resonances of Orders 1/3 and 2

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