### 抜粋

This paper deals with the stability of the second order difference equation possessing periodic parameter, which characterizes discrete periodic system. Discrete periodic system corresponding to Mathieu equation is expressed as second order difference equation with small parameter ε in the time-varying term. This parameter ε plays an important role in stability. For the fundamental equation without damping, stability boundary curves are analytically obtained with respect to parameters in the equation by using McLachlan's method, which is based on Floquet's theory and perturbation method. The boundary curves are computed by pursuing periodic solutions on the boundaries and letting secular term zero. The boundary curves are expressed as the power series of ε. When periodic parameter consists of even function of Fourier series, stability boundary curves are obtained. For the fundamental equation with damping, stability criterion is shown in the neighbor of important resonant points. This criterion is obtained by computing points on the boundary curves.

元の言語 | English |
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ホスト出版物のタイトル | Dynamics and Vibration of Time-Varying Systems and Structures |

編集者 | Mo Shahinpoor, H.S. Tzou |

出版者 | Publ by ASME |

ページ | 403-411 |

ページ数 | 9 |

ISBN（印刷物） | 0791811735 |

出版物ステータス | Published - 1993 12 1 |

イベント | 14th Biennial Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA 継続期間: 1993 9 19 → 1993 9 22 |

### 出版物シリーズ

名前 | American Society of Mechanical Engineers, Design Engineering Division (Publication) DE |
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巻 | 56 |

### Other

Other | 14th Biennial Conference on Mechanical Vibration and Noise |
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市 | Albuquerque, NM, USA |

期間 | 93/9/19 → 93/9/22 |

### ASJC Scopus subject areas

- Engineering(all)

## フィンガープリント Stability of the second order difference equation with time-varying parameter' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Dynamics and Vibration of Time-Varying Systems and Structures*(pp. 403-411). (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; 巻数 56). Publ by ASME.