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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.40.2.209c0591e52-e066-45c9-85a2-18e99b2e95f6
名前 / ファイル | ライセンス | アクション |
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40-2-02.pdf (4.6 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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× Torii, Takao |
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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 | ||||||
内容記述タイプ | Abstract | |||||
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 | |||||
出版者 | ||||||
出版者 | Faculty of Engineering, Nagoya University | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | 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 |
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値 | publisher |