Large Amplitude Vibrations of a Simply-Supported Beam with Axial Loads and Transverse Magnetic Fields

在軸向負載與橫向磁場的影響下，考慮簡支樑的大變形振動。因此在振動過程中，簡支樑受到軸向力和磁力及磁力矩的作用，其方程式的推導是依據罕米吞原理。在本文中阻尼因數也同時列入考慮，而軸向負載的振動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。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。

關鍵字

振幅；振動；樑；磁場

並列摘要

Large amplitude vibrations of a simply supported beam under axial loads and transverse magnetic fields 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. Two frequencies of pulsating axial force and oscillating transverse magnetic field are applied to the system. Using Runge-Kutta method, the amplitude versus time and velocity versus amplitude diagrams are determined.

並列關鍵字

amplitude ； vibration ； beam ； magnetic field

國際替代計量

Large Amplitude Vibrations of a Simply-Supported Beam with Axial Loads and Transverse Magnetic Fields

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