| 扭摆法测刚体转动惯量中空气阻尼的数值模拟 |
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| 引用本文： | 郭志荣,毛天喜,杨振.扭摆法测刚体转动惯量中空气阻尼的数值模拟[J].甘肃教育学院学报(自然科学版),2014(1):38-40,64. |
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| 作者姓名： | 郭志荣 毛天喜 杨振 |
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| 作者单位： | [1]石河子大学理学院,新疆石河子832003 [2]石河子大学生态物理重点实验室,新疆石河子832003 |
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| 摘 要： | 在测定刚体转动惯量实验中，将空气的阻尼分为粘性阻尼和压差阻尼，在似设粘性阻尼与速度成正比的情况下得到了非线性动力学方程．数值模拟结果娃示，强度不同的两种阻尼对刚体转动周期的影响有别．在综合研究的基础上，给出实验中能够减小空气阻尼引起误差的操作事项，对实验过程具有指导意义．
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| 关 键 词： | 转动惯量 扭摆法 空气阻尼 |
Numerical Simulations of Air Damping in the Measurement of Moment of Inertia Using Torsion Pendulum Method |
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| GUO Zhi-rong,MAO Tian-xi,YANG Zhen.Numerical Simulations of Air Damping in the Measurement of Moment of Inertia Using Torsion Pendulum Method[J].Journal of Gansu Education College(Natural Science Edition),2014(1):38-40,64. |
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| Authors: | GUO Zhi-rong MAO Tian-xi YANG Zhen |
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| Institution: | 1. School of science, Shihezi University, Shihezi 832003, China; 2. Key Laboratory of Ecophysics, Shihezi University, Shihezi 832003, China) |
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| Abstract: | The air damping is usually included viscous damping and pressure damping in the measurement of moment of inertia using torsion pendulum method. If assumption viscous damping proportional to the speed, the nonlinear dynamic equations of swinging rigid body was obtained. The effect of different strength of two kinds of air damping on the swinging rigid body is numerically simulated, respectively. It is shown that the effect of pressure damping is greater than viscous damping in the measurement of moment of inertia. Finally, some considerations of reducing errors caused by air damping are presented. |
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| Keywords: | moment of inertia torsion pendulum method air damping |
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