Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia

Shaoshu Huang

doi:doi:10.11648/j.ajpa.20200801.11

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Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia

Shaoshu Huang

Published in American Journal of Physics and Applications (Volume 8, Issue 1)

Received: 31 January 2020 Accepted: 13 February 2020 Published: 19 February 2020

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Abstract

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.

Published in	American Journal of Physics and Applications (Volume 8, Issue 1)
DOI	10.11648/j.ajpa.20200801.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

Law of Rotational Inertia, Gyroscopic Precession, Law of Micro Deformation Action, Principle of Virtual Fixed Axis Rotation Balance, Maximum Chapter Angle

References

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[2]	Deng Jingyuan. Research on precession mechanism and stability analysis of gyroscope [J], Equipment Engineering of China, 2016 (8): 62, 63.
[3]	Huang Shaoshu, Wu Cinan. The principle and example analysis of virtual fixed axis rotating balance [J], Asia Pacific Journal of Physics, 2019 (1), 1: 1-5.
[4]	Huang Shaoshu, Jiang Jintuan. Research and Interpretation on Bicycle Stability Issue [J]. Physics Bulletin, 2017, 11: 67-70.
[5]	Huang Shaoshu, Jiang Jintuan. A study on the problem of bicycle's "no turning" [J]. PHYSICS TEACHER, 2017, 38 (8): 57-58.
[6]	Department of theoretical mechanics, Harbin University of technology. Theoretical mechanics (I) [M]. Beijing: Higher Education Press. 2009 (7), 260-264.
[7]	Qiu Jiuzi. Analysis of a singular phenomenon in precession of gyroscope [J], Knowledge of modern physics, 1998 (10), 3: 36-37.
[8]	Written by R. P. Feynman, R. B. Leighton, M. Sands; Translated by Zheng Yongling, Hua Hongming and Wu Ziyi. Feynman's lecture notes on Physics (Volume 1) [M]. Shanghai: Shanghao science and Technology Press. 2013 (1), 210.
[9]	Zhang Qingchun, Wu Dongjiang, Zhuang Juan, et al. A method of measuring precession angular velocity of gyroscope [J], physical experiment, 1997 (17), 2: 53-54.
[10]	Peng Yi, Liang Zhibin. The effect of gyroscopic precession in sen spacetime [J], Acta Physica Sinica, 49 (9): 1670-1678, 2000.
[11]	Lei Hao, Yang Hairong, Zhu Mu, et al. Errors Analysis of Dynamical Servo Gyro in IR Guided Weapons [J], Aerospace Shanghai, 34 (1): 86-91, 2017.
[12]	Hong Zixin, Shai Kai, Ai Qing, Research on torsion gyroscope [J], Physics experimentation, 38 (6): 35-39, 2018.
[13]	Fu Xianluo. Analysis of nutation resistance of free precession gyroscope [J], Chinese Journal of mechanics, 1985 (17), 2: 177-181.
[14]	Zhang Han, Zhang Yu, Zhao Hui, Dynamics Analysis of GyroWheel for its Micro-spacecraft Attitude Control Application [J], Journal of System Simulation, 27 (1): 112-117, 2015.
[15]	Li Zhihong, Chen Run’en, Cheng Xiaodong, et al. Research on Single-wheel Self-balancing Robot Based on Horizontal Gyro Structure [J], China Mechanical Engineering, 27 (6): 726-731, 2016.

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Shaoshu Huang. (2020). Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. American Journal of Physics and Applications, 8(1), 1-7. https://doi.org/10.11648/j.ajpa.20200801.11

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ACS Style

Shaoshu Huang. Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. Am. J. Phys. Appl. 2020, 8(1), 1-7. doi: 10.11648/j.ajpa.20200801.11

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AMA Style

Shaoshu Huang. Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. Am J Phys Appl. 2020;8(1):1-7. doi: 10.11648/j.ajpa.20200801.11

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@article{10.11648/j.ajpa.20200801.11,
  author = {Shaoshu Huang},
  title = {Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia},
  journal = {American Journal of Physics and Applications},
  volume = {8},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajpa.20200801.11},
  url = {https://doi.org/10.11648/j.ajpa.20200801.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20200801.11},
  abstract = {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.},
 year = {2020}
}

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TY  - JOUR
T1  - Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia
AU  - Shaoshu Huang
Y1  - 2020/02/19
PY  - 2020
N1  - https://doi.org/10.11648/j.ajpa.20200801.11
DO  - 10.11648/j.ajpa.20200801.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20200801.11
AB  - 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.
VL  - 8
IS  - 1
ER  -

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Author Information

Shaoshu Huang

Academic Center, No. 23 Middle School of Liupanshui, Liupanshui, China

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APA Style

Shaoshu Huang. (2020). Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. American Journal of Physics and Applications, 8(1), 1-7. https://doi.org/10.11648/j.ajpa.20200801.11

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ACS Style

Shaoshu Huang. Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. Am. J. Phys. Appl. 2020, 8(1), 1-7. doi: 10.11648/j.ajpa.20200801.11

Copy | Download

AMA Style

Shaoshu Huang. Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia. Am J Phys Appl. 2020;8(1):1-7. doi: 10.11648/j.ajpa.20200801.11

Copy | Download

@article{10.11648/j.ajpa.20200801.11,
  author = {Shaoshu Huang},
  title = {Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia},
  journal = {American Journal of Physics and Applications},
  volume = {8},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajpa.20200801.11},
  url = {https://doi.org/10.11648/j.ajpa.20200801.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20200801.11},
  abstract = {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.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Interpretation of Gyro Stability and Precession Mechanism by Law of Rotational Inertia
AU  - Shaoshu Huang
Y1  - 2020/02/19
PY  - 2020
N1  - https://doi.org/10.11648/j.ajpa.20200801.11
DO  - 10.11648/j.ajpa.20200801.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20200801.11
AB  - 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.
VL  - 8
IS  - 1
ER  -

Copy | Download