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題名 | The Analysis of Dynamic Stability and Vibration Motions of a Cantilever Beam with Axial Loads and Transverse Magnetic Fields=受週期橫向磁場與軸向負載的懸臂樑之振動及動態穩定性分析 |
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作者 | 吳貫遠; 蔡瑞益; 施延欣; Wu, Guan-yuan; Tsai, Rueyyih; Shih, Yan-shin; |
期刊 | 中華民國音響學刊 |
出版日期 | 19970600 |
卷期 | 4:2 1997.06[民86.06] |
頁次 | 頁40-55 |
分類號 | 448.5 |
語文 | eng |
關鍵詞 | 動態穩定性; 振動; 樑; 磁場; Dynamic stability; Vibration; Beam; Magnetic fields; |
中文摘要 | 在本文中,考慮受軸向負載與橫向磁場的影響下。依據罕米吞原理來推導懸臂樑 受到軸向力、磁力及磁力矩作用的運動方程式。在本文中阻尼係數也同時列入考慮,而軸向 負載及橫向磁場的振盪所產生的頻率共振影響,在本系統中也被探討。在振動的部份則使用 Runge-Kutta 的方法,振幅對時間和速度對振幅的圖表結果,在本文中分別被繪出;在動態 穩定的部份則使用 Incremental Harmonic Balance ( IHB )的方法, 在電磁力不同的情 況下,對於主要區域的動態穩定性,經由 IHB 的方法所得出的結果。 而不同的阻尼係數、 軸向負載和動態穩定的影響在本文中也分別被探討。 |
英文摘要 | Transient vibrations and dynamic instability of a cantilever beam are considered. Including axial force. magnetic force and magnetic couple, the equation of motion is derived by Hamilton's principle. The damping factor is also considered in this study. The frequencies of pulsating axial force and oscillating transverse magnetic field have been applied to the system. Using Runge-Kutta method, the amplitude versus time and velocity versus amplitude diagrams are determined. Using the IHB method, the principal regions of dynamic instability are determined. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。