| 互相垂直同频率简谐振动的合成轨迹方程的推导 |
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| 引用本文： | 熊德永,马慧.互相垂直同频率简谐振动的合成轨迹方程的推导[J].安徽科技学院学报,2010,24(2):40-43. |
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| 作者姓名： | 熊德永 马慧 |
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| 作者单位： | 贵州师范学院,物理与电子科学学院,贵州,贵阳,550018;贵阳医学院,物理教研室,贵州,贵阳,550002 |
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| 摘 要： | 利用两角的和与差公式、反三角函数等不同的方法详细推导了两个互相垂直且同频率的二维简谐振动合成的轨迹方程,并以此为基础推导出三个互相垂直且同频率的简谐振动合成轨迹方程,其合成振动的轨迹亦为椭圆,该椭圆的形状和取向由分振动的振幅和初相位决定。
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| 关 键 词： | 简谐振动 轨迹方程 三维推广 |
Discussion on Equation of Simple Harmonic Motion Perpendicular to Each Other with Same Frequency |
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| XIONG De-yong,MA Hui.Discussion on Equation of Simple Harmonic Motion Perpendicular to Each Other with Same Frequency[J].Journal of Anhui Science and Technology University,2010,24(2):40-43. |
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| Authors: | XIONG De-yong MA Hui |
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| Institution: | XIONG De-yong1,MA Hui2(1.School of Physics and Electronic Sciences,Guizhou Normal College,Guiyang 550018,China,2.Physical Staff Room,Guiyang Medical College,Guiyang 550002,China) |
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| Abstract: | In this paper,the trajectory equation of the two harmonic motion perpendicular to each other with the same frequency is derived in various methods,and this equation is extended generally into the case of 3 dimensions. |
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| Keywords: | Simple harmonic motion Trajectory equation 3-dimension extension |
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