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圆柱体沿圆形凹槽运动的相图分析
引用本文:杨燕.圆柱体沿圆形凹槽运动的相图分析[J].文山师范高等专科学校学报,2011,24(3):41-44.
作者姓名:杨燕
作者单位:文山学院数理系,云南文山,663000
摘    要:对圆柱体沿圆形凹槽运动的描述,常用方法是依据牛顿第二定律或拉格朗日方程导出运动微分方程并求解。文章用阿佩尔方程导出钢性小圆柱体的运动微分方程,通过分析运动相图,从能量的角度描述钢性小圆柱体的运动。

关 键 词:阿佩尔方程  奇点  相图

An Analysis on the Phase Diagram of the Motion along the Circular Recess of the Cylinder
YANG Yan.An Analysis on the Phase Diagram of the Motion along the Circular Recess of the Cylinder[J].Journal of Wenshan Teachers College,2011,24(3):41-44.
Authors:YANG Yan
Institution:YANG Yan ( Department of Mathematics and Physics, Wenshan University, Wenshan 663000, China)
Abstract:The usual method to describing motion along circular recess of the cylinder is to derive the differential equation and find answer to it, which is based on Newton's second law or Lagrange's equation. The paper deduces the motion differential equation of t
Keywords:Appell equation  special point  phase diagram
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