| 研究生: |
陳志遠 Chen, Jhih-Yuan |
|---|---|
| 論文名稱: |
異向性平板頻散曲線初步探討 Preliminary investigations of dispersion curve of an anisotropic plate |
| 指導教授: |
宋見春
Sung, J.C. |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 土木工程學系 Department of Civil Engineering |
| 論文出版年: | 2015 |
| 畢業學年度: | 103 |
| 語文別: | 中文 |
| 論文頁數: | 55 |
| 中文關鍵詞: | 異向性材料 、頻散方程式 、頻散曲線 |
| 外文關鍵詞: | anisotropic materials, dispersion equations, dispersion curve |
| 相關次數: | 點閱:121 下載:1 |
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本文探討彈性波在異向性平板材料中傳播之行為,由彈性波在異向
性材料中傳播應滿足的運動方程式、應力-應變及位移-應變關係條件,
推演波在一般異向性平板材料中的頻散方程式。文中首先針對上下表面
邊界條件曳引力全為零或位移全為固定之問題,推演頻散方程式並對頻
散曲線求解的一些問題進行討論。其次推演多種不同邊界條件(無應力、
位移固定、滑動)下的頻散方程式,繪製了不同材料在不同邊界條件下的
頻散曲線圖並對結果加以討論。
This article investigates the behavior of the propagation of elastic waves in anisotropic materials. By employing the elastic waves propagation in anisotropic materials which satisfy the equation of motion, stress-strain and displacement-strain relations, we briefly outline the derivation of dispersion equations for general anisotropic materials.
We first focuse on the problem of dispersion curves for a plate with a totally traction-free or totally rigid boundary conditions on the upper and lower surfaces of plate. Next, we investigate the problem of dispersion curves for various boundary conditions (traction-free, rigid, slippery) prescribed on the surfaces of the plate. Numerical results are presented for different types of materials and results are discussed.
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