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| 題 名 | Transverse Vibration and Stability of a Rotating Twisted Timoshenko Beam under Axial Force=具扭角之旋轉Timoshenko樑受軸向力作用之振動和穩定性分析 |
|---|---|
| 作 者 | 鄭正德; | 書刊名 | 聯合學報 |
| 卷 期 | 18 2001.05[民90.05] |
| 頁 次 | 頁15-32 |
| 分類號 | 446.1 |
| 關鍵詞 | 扭角; 提摩先戈樑; 漢米頓定理; 假設模態法; 特徵值問題; Twisted angle; Timoshenko beam; Hamilton's principle; The assumed mode method; Eigenvalue problem; |
| 語 文 | 英文(English) |
| 中文摘要 | 本文研究主要探討具扭角之旋轉提摩先戈樑受軸向力作用之振動和動態穩定性, 利用漢米頓定理及假設模態法推導出矩陣型態之運動方程式,再應用此方法,將運動方程式 轉換成一特徵值問題形式,此方法之優點為易於建立樑系統之運動方程式,並藉矩陣運算易 於求解。本研究同時探討扭角、旋轉速率、軸向力及斷面比值等參數對樑振動及穩定行為之 影響。所得結果數據顯示與先前學者研究比較有較佳精確解及快速收斂特性。本文結果對具 扭角之旋轉提摩先戈樑受軸向力作用之動態行為,能有進一步深入瞭解和助益。 |
| 英文摘要 | Transverse vibration and dynamic stability of a rotating twisted Timoshenko beam under axial force are studied. The equations of motion in matrix form are derived using Hamilton's principle and assumed mode method. The assumed mode method is employed to discretize the equations of motion into ordinary differential equations which are transformed to the standard form of an eigenvalue problem. A general eigenvalue problem is formulated and used to study the effects of prescribed twisted angle, rotational speed, axial compressive force, aspect ratio of the cross-section on vibration and stability behavior of the beam. The assumed mode procedure which has been successfully developed and demonstrated as a powerful means. The results compared with the previous works illustrated the accuracy solution and rapid covergence of the present method. The present results provide a better understanding of the dynamic characteristics of a rotating twisted beam under axial force. |
本系統中英文摘要資訊取自各篇刊載內容。