| 考虑摆线拉伸效应的三线摆测量转动惯量方法的研究 |
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| 引用本文： | 赵学荟,侯文. 考虑摆线拉伸效应的三线摆测量转动惯量方法的研究[J]. 宇航计测技术, 2006, 26(6): 26-29 |
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| 作者姓名： | 赵学荟 侯文 |
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| 作者单位： | 仪器科学与动态测试教育部重点实验室,中北大学,太原,030051 |
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| 摘 要： | 三线摆法是测量转动惯量的常用方法,然而关于该方法的讨论多基于小摆角假设和摆线无弹性变形的假设。通过分析对称式三线摆的运动与受力情况,建立了完整的、可描述包括大摆角和摆线弹性拉伸变形等情形的对称式三线摆运动微分方程。利用该方程,可以定量地研究上述两种假设对实际测量的精度所带来的影响。
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| 关 键 词： | ~ 对称式三线摆 惯性矩 摆动 周期 测量 |
| 文章编号： | 1000-7202(2006)06-0026-04 |
| 修稿时间： | 2005-12-22 |
Measurement of Moment of Inertia Based on Therr-Line Pendulum with Considering the Effect of Lines'''' Strentching |
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| ZHAO Xue-hui,HOU Wen. Measurement of Moment of Inertia Based on Therr-Line Pendulum with Considering the Effect of Lines'''' Strentching[J]. Journal of Astronautic Metrology and Measurement, 2006, 26(6): 26-29 |
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| Authors: | ZHAO Xue-hui HOU Wen |
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| Abstract: | The measurement method using three-line pendulum is a commonly used method for measuring moment of inertia.However,describing this method is based on both small angle assumption and stretching-free assumption.Through analyzing its motion and affording force situation of three-line pendulum,presents a complete dynamic differential equation that can describe various situations including large angle and the effect of lines'stretching.With the equation,effect of the two assumptions on the measuring accuracy can be studied quantitatively.Finally a numerical example of the above equation is given. |
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| Keywords: | Symmetrical three-line pendulum Moment of inertia Swing Period Measurement |
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