| 基于三线摆运动完整描述的转动惯量测量方法 |
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| 引用本文： | 赵学荟,侯文,陈鸿,陈闽鄂. 基于三线摆运动完整描述的转动惯量测量方法[J]. 弹箭与制导学报, 2006, 26(4): 362-364 |
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| 作者姓名： | 赵学荟 侯文 陈鸿 陈闽鄂 |
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| 作者单位： | 1. 中北大学,仪器科学与动态测试教育部重点实验室,太原,030051
2. 九江职业技术学院,江西,九江,330027 |
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| 摘 要： | 为了避免近似解析解带来的误差，文中利用拉格朗日方程，建立了可完整描述三线摆运动的微分方程，并利用数值分析方法来求解方程。最后通过算例分析了转动惯量与摆动周期的关系曲线以及摆盘、摆线尺寸对测量结果的影响。
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| 关 键 词： | 对称式三线摆 转动惯量 摆动周期 拉格朗日方程 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006-03-20 |
Measuring Moment of Inertia Based on the Complete Description of Three-line Pendulum Movement |
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| ZHAO Xue-hui,HOU Wen,CHEN Hong,CHEN Min'e. Measuring Moment of Inertia Based on the Complete Description of Three-line Pendulum Movement[J]. Journal of Projectiles Rockets Missiles and Guidance, 2006, 26(4): 362-364 |
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| Authors: | ZHAO Xue-hui HOU Wen CHEN Hong CHEN Min'e |
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| Abstract: | In order to avoid the error caused by those proximate analytical solutions, this paper presents the differential equation, by using Lagrange equation, for completely describing three-line pendulum movement, and makes advantage of computational mathematics to solve the equation. Finally, through conducting some numerical examples, it analyzes the relative curve of the moment of inertia in respect to oscillation period, and the measurement solutions to the diameters of dish and tile lengths of lines. |
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| Keywords: | symmetrical three-line pendulum moment of inertia oscillation period Lagrange equation |
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