用转动惯量定律解释陀螺的稳定性和进动机理

Shao-rui Huang
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引用次数: 0

摘要

陀螺仪的进动机理和稳定性是一个突出的问题。长期以来,人们普遍认为陀螺仪的进动是重力矩作用的结果。但这与实验事实并不完全一致。本文介绍了水平面上陀螺进动的实验现象,给出了转动惯量和微变形作用的规律,给出了微变形作用的经验表达式。基于虚定轴旋转平衡原理和动量矩守恒定律,分析了陀螺进动的实验现象。给出了陀螺在一定条件下能否恢复稳定旋转状态的条件,给出了陀螺进动角速度和旋转角速度的决定因素及其相互关系。全面阐述了陀螺仪在水平面上的稳定性和进动机理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia
The precession mechanism and stability of gyroscope is an outstanding problem. It has been widely believed for a long time that the precession of gyroscope is the result of the action of heavy moment. But this is not completely consistent with the experimental facts. This paper introduces the experimental phenomena of gyroscopic precession on the horizontal plane, presents the laws of rotational inertia and micro deformation action, gives the empirical expression of micro deformation action. The experimental phenomena of gyro precession are analyzed based on the principle of virtual fixed axis rotation balance and the law of conservation of momentum moment. The condition of whether the gyro can recover stable rotation state in certain condition is given, the determinants of precession angular velocity and rotation angular velocity of gyroscope and their relations are also given. The stability and precession mechanism of the gyroscope on the horizontal plane are explained comprehensively.
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