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  1. B200 工学部/工学研究科
  2. B200b 紀要
  3. Memoirs of the Faculty of Engineering, Nagoya University
  4. 40(2)

A Study on the Multi-mode response of continuous systems

https://doi.org/10.18999/memfenu.40.2.209
https://doi.org/10.18999/memfenu.40.2.209
c0591e52-e066-45c9-85a2-18e99b2e95f6
名前 / ファイル ライセンス アクション
40-2-02.pdf 40-2-02.pdf (4.6 MB)
Item type 紀要論文 / Departmental Bulletin Paper(1)
公開日 2020-10-29
タイトル
タイトル A Study on the Multi-mode response of continuous systems
言語 en
著者 Yasuda, Kimihiko

× Yasuda, Kimihiko

WEKO 101960

en Yasuda, Kimihiko

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Torii, Takao

× Torii, Takao

WEKO 101961

en Torii, Takao

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
内容記述
内容記述 Nonlinear forced oscillations of continuous systems such as strings, membranes and beams are considered. These systems have an infinite number of natural frequencies and an infinite number of corresponding natural modes. Under some conditions, some of these modes may interact with each other, and the so-called multi-mode responses may occur. To see whether some or other types of multi-mode responses in fact occur and what their characteristics are, the oscillations induced by a periodic excitation near primary resonance points are discussed. Both theoretical and experimental analyses are conducted. The first system taken up is a string. Its natural frequencies are in a ratio of prime integers. Due to this, oscillations containing several subharmonic or super-harmonic components occur. Thus it is shown that a type of multi-mode response occurs. The second system is a circular membrane. In this system, two modes exist in pairs with the same natural frequency and the same modal shape but are shifted circumferentially. Due to this, oscillations of rotary type occur. The third system is a square membrane. As in a circular membrane, oscillations of rotary type occur. Thus, in circular and square membranes another type of multi-mode response occurs. The last system taken up is a beam in which a natural frequency of deflectional mode and one of torsional mode are in a ratio of prime integers. It is shown that nonlinear term causes coupling between these two kinds of modes. Thus, it is shown that one more type of multi-mode response occurs.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Faculty of Engineering, Nagoya University
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ departmental bulletin paper
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
ID登録
ID登録 10.18999/memfenu.40.2.209
ID登録タイプ JaLC
ISSN(print)
収録物識別子タイプ PISSN
収録物識別子 0027-7657
書誌情報 en : Memoirs of the Faculty of Engineering, Nagoya University

巻 40, 号 2, p. 209-272, 発行日 1989-03-31
著者版フラグ
値 publisher
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