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異なる二つの楕円関数の和を母解とする楕円型平均
http://hdl.handle.net/10458/2404
http://hdl.handle.net/10458/24040ad6469c-af37-491c-8ce8-7baf6c4e8a35
名前 / ファイル | ライセンス | アクション |
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KJ00005631759.pdf (3.0 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-10-30 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 異なる二つの楕円関数の和を母解とする楕円型平均 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Elliptic Averaging Method Using Sum of Two Kinds of Jacobian Elliptic Function as Generating Solution | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Method of Vibration Analysis, Nonlinear Vibration, Forced Vibration, Averaging Method, Jacobian Elliptic Function | |||||
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 | |||||
その他(別言語等)のタイトル | ||||||
その他のタイトル | コトナル フタツ ノ ダエンケイスウ ノ ワ オ ボカイ トスル ダエンケイ ヘイキン | |||||
著者 |
大西, 惇平
× 大西, 惇平× 岡部, 匡× Ohnishi, Jumpei× 岡部, 匡 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | An improved averaging method is proposed in order to obtain a highly accurate periodic solution composed of only odd order harmonics in a strongly nonlinear dynamical system. In this method, sum of the Jacobian elliptic cosine (cn) and sine (sn) function is incorporated as the generating solution. The proposed method is applicable to relatively general nonlinear systems based on Duffing equation. The stability of the solution is analyzed by obtaining the characteristic multipliers of the variational equation. The numerical results for typical nonlinear oscillators are shown. The effectiveness of the proposed method is verified by comparing the computational results with those obtained by the shooting method. | |||||
言語 | en | |||||
書誌情報 |
ja : 宮崎大学工学部紀要 en : Memoirs of Faculty of Engineering, University of Miyazaki 巻 38, p. 227-232, 発行日 2009-09-30 |
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出版者 | ||||||
言語 | ja | |||||
出版者 | 宮崎大学工学部 | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Faculty of Engineering, University of Miyazaki | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 05404924 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00732558 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |