| 均质圆柱体在非固定半圆形柱面内的振动周期 |
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| 引用本文： | 何勤,谢秉川.均质圆柱体在非固定半圆形柱面内的振动周期[J].大学物理,2007,26(11):29-33. |
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| 作者姓名： | 何勤 谢秉川 |
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| 作者单位： | 江苏大学,物理系,江苏,镇江,212003;江苏大学,物理系,江苏,镇江,212003 |
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| 摘 要： | 用动力学方法,建立了均质圆柱体与非固定半圆形柱面组成系统的运动微分方程,分析了圆柱体在柱面内无滑滚动的临界角,求出了圆柱体大角度振动周期的精确公式和近似公式.
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| 关 键 词： | 无滑滚动 临界角 振动周期 精确解 近似解 |
| 文章编号： | 1000-0712（2007）11-0029-05 |
| 收稿时间： | 2006-08-23 |
| 修稿时间： | 2006年8月23日 |
The period of vibration of a homogeneous cylinder in a non-fixed inner semicylindrical surface |
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| HE Qin,XIE Bing-chuan.The period of vibration of a homogeneous cylinder in a non-fixed inner semicylindrical surface[J].College Physics,2007,26(11):29-33. |
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| Authors: | HE Qin XIE Bing-chuan |
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| Institution: | Department of Physics, Jiangsu University, Zhenjiang, Jiangsu 212003, China |
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| Abstract: | The differential equations of the system formed by a homogeneous cylinder and a non-fixed inner semicylindrical surface arc derived.According to these differential equations,the critical angle of rolling without slippage of the cylinder is analyzed,and the exact and approximate expressions of the period of vibration in the case of large-angle vibration are derived. |
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| Keywords: | rolling without slippage critical angle period of vibration exact solution approximate solution |
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