| 曲率半径的复数求法 |
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| 引用本文： | 任佳琪,江野,汪茂胜,黄万霞.曲率半径的复数求法[J].大学物理,2020(7):63-65. |
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| 作者姓名： | 任佳琪 江野 汪茂胜 黄万霞 |
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| 作者单位： | 安徽师范大学物理与电子信息学院 |
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| 基金项目： | 国家自然科学基金(11304002);大学物理教学团队(2016jxtd049)资助。 |
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| 摘 要： | 利用平面自然坐标系中的速度、加速度的复数表示来推导运动曲线的曲率半径的表达式,并验证了该公式与传统的微分几何方法给出的结果一致.研究表明不需要借助任何几何图形的复数法可以很好地给出曲率半径的表达式.
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| 关 键 词： | 复数 曲率半径 平面自然坐标系 |
A curvature radius formula by using complex functions |
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| REN Jia-qi,JIANG Ye,WANG Mao-sheng,HUANG Wan-xia.A curvature radius formula by using complex functions[J].College Physics,2020(7):63-65. |
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| Authors: | REN Jia-qi JIANG Ye WANG Mao-sheng HUANG Wan-xia |
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| Institution: | (School of Physics and Electronic Information,Anhui Normal University,Wuhu,Anhui 241002,China) |
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| Abstract: | We deduce the curvature radius formula of motion curve by using the complex representation of the velocity and acceleration vector in the planar natural coordinate system.Our formula agrees with the formula by using traditional differential geometric method.The result shows the complex function method,which needs not anything geometric picture,can deduce the curvature radius formula very well. |
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| Keywords: | complex function curvature redius planar natural coordinate system |
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