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21. Propagation and Apparent Attenuation of Elastic Waves in a Heterogeneous Medium with Certain Periodic Structures
https://doi.org/10.15083/0000033667
https://doi.org/10.15083/0000033667f949e9cd-e93f-4e4a-af3f-33a8b8f5e8ab
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
ji0423002.pdf (1.0 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-05-30 | |||||
| タイトル | ||||||
| タイトル | 21. Propagation and Apparent Attenuation of Elastic Waves in a Heterogeneous Medium with Certain Periodic Structures | |||||
| 言語 | en | |||||
| 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 | |||||
| ID登録 | ||||||
| ID登録 | 10.15083/0000033667 | |||||
| ID登録タイプ | JaLC | |||||
| その他のタイトル | ||||||
| その他のタイトル | 21. ある周期構造を有する不均質媒質を伝わる弾性波 | |||||
| 著者 |
ONDA, Isao
× ONDA, Isao |
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| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 131521 | |||||
| 姓名 | 音田, 功 | |||||
| 著者所属 | ||||||
| 著者所属 | Earthquake Research Institute | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The attenuation of seismic waves propagated in a heterogeneous medium is investigated. Heterogeneity of the medium is represented by the velocity distribution alone and the structure under consideration is expressed in Fourier cosine series. In this proplem the differential equation is of Hill's type, and conditions of instabilityare discussed. Since the unstable solutions obtained are of the standing waves, some modification and reformation for discussing the stability of the progressive waves are made. It is concluded that the wave amplitude with wave length λn isaffected by the structural component with wave length Ln=λn/2 and is independent, of the other components, and that the function of the apparent attenuation for the specified wave amplitude is of hyperbolic secant but not of exponential. On the other hand, the phase of this specific wave is shifted by every component of the structure. In addition, the phase shift of waves passing through the medium is negligibly small; the phase velocity is apparently fixed for all frequencies. A similar problem will arise in that of surface wave propagation along a rough surface. In the appendix, Hill's equation is solved in forms convenient in discussing the stability of its solution. | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | 速度の分布がc0(1+Σr0r=1εrcos2rγx)で表わされる不均質媒質を伝わる波動の伝搬を調べた.伝搬径路の不均質性をフーリエ解析するとこのような速度分布に置きかえることが可能であろう.また,同様な問題は平らでない地形を横切る表面波の伝搬と結びつけて考えることもできる.このような媒質における波動方程式はヒルの方程式で書かれ,その解の安定性を議論するためにWhittakerやInceらによつて与えられた解を少し一般化して用いた. | |||||
| 書誌情報 |
東京大學地震研究所彙報 = Bulletin of the Earthquake Research Institute, University of Tokyo 巻 42, 号 3, p. 427-447, 発行日 1964-12-25 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00408972 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00162258 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 453 | |||||
| 出版者 | ||||||
| 出版者 | 東京大学地震研究所 | |||||
| 出版者別名 | ||||||
| Earthquake Research Institute, University of Tokyo | ||||||
