變化外加力矩對於在空氣中做
旋轉運動的橢圓形球體之影響
變化外加力矩對於在空氣中做
旋轉運動的橢圓形球體之影響
變化外加力矩對於在空氣中做旋轉運動的橢圓形球體之影響

本論文主要是在討論一個正橢圓形球體，以橢圓長軸在水平方向而且漂浮在空氣中，利用外加力矩驅駛橢圓形球體在空氣中，繞著鉛錘軸線加速轉動的方法來觀察本系統如何由一個穩定系統轉為不穩定系統，再由不穩定系統轉變成穩定系統。設計一橢圓形球體以長軸為a，短軸為b，漂浮在空氣中旋轉，在空氣中旋轉用三個Euler’s角，決定方位，而且橢圓形球體質心G點保持定點不動，在模擬過程中我們改變給他有多樣不同的外加力矩，及不同的表面摩擦力，和三個Euler’s角都有不同初始條件，來模擬橢圓形球體在空氣中轉動的過程中各種不同條件下的穩定與不穩定的現象，將用各種不同初始條件所產生各種穩定與不穩定狀態，在模擬的橢圓形球體會從原本的橫躺的轉動，轉軸會以一極大的角速度轉換成為直立的轉動然後會超越垂直軸。

關鍵字

變化外加力矩對於在空氣中做橢圓形球體之影響

並列摘要

The oval-shaped which is drifted to orbiting the horizontal in the air is discussed in this dissertation. Using an additional moment drives the oval-shaped to rotate along the vertical line and observing phenomenon which the stable system transform to unstable and from unstable transform to stable. Design the oval-shaped which the major axis be a and the minor axis be b. In the air, the direction of the rotating oval-shaped is designed by three Eular’s angles, and the center of gravity of the oval-shaped is immovable. During the simulating with the different additional moment, the surface friction and the three Enler’s angles have different beginning conditions. By the different conditions, the stable and unstable oval-shaped can be simulated in the air. Through these states, the horizontal oval-shaped is transformed to vertical and the oval-shaped is still rotation. Moreover, the maximum of greatest angular velocity is produced.

並列關鍵字

The Influence of Variation External Moment on Th

參考文獻

[1].Moffatt, Y. Shimomura,” Nature Classical dynamics Spinning eggs a paradox resolved” 416,385-386(28 march 2002).

[3].Ferdinand P.beer E.russell Johnston Jr, “Vector Mechanics for Engineers STATICS and DYNAMICS”,1977 .

[5].Ferdinand P.beer E.russell Johnston Jr. “Vector Mechanics for Engineers DYNAMICS”,2002

[6].Richard L. Burden J. “Douglas Faires, Numerical Analysis third edition” 1985

[7].M. Pizer, “Numerical computing and mathematical analysis” 1977

國際替代計量

變化外加力矩對於在空氣中做旋轉運動的橢圓形球體之影響變化外加力矩對於在空氣中做旋轉運動的橢圓形球體之影響變化外加力矩對於在空氣中做旋轉運動的橢圓形球體之影響

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