Case Analysis and Balance Principle of Virtual Axis Rotation

Huang Shaoshu; Wu Cinan

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Case Analysis and Balance Principle of Virtual Axis Rotation

Huang Shaoshu, Wu Cinan

Published in Asia-Pacific Journal of Physics (Volume 1, Issue 1)

Received: 12 November 2018 Accepted: 28 December 2018 Published: 1 February 2019

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Abstract

In this paper, the concept of rigid-axis fixed-axis rotation is proposed, and the equilibrium law that the rigid body follows during the rotation of the virtual axis is given from the perspective of moment balance, that is, the principle of rigid-axis fixed-axis rotation balance. Further, this balance principle is used to analyze two typical examples: the stability of the vehicle the bicycle. The constraint relationship of stable rotation in these two examples is shown respectively. The minimum angular velocity expression and maximum angular velocity expression for maintaining stable rotation of the flying wall and the stability of the bicycle are derived.

Published in	Asia-Pacific Journal of Physics (Volume 1, Issue 1)
Page(s)	1-5
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), 2019. Published by Science Publishing Group

Keywords

Virtual Axis Rotation, Balance Principle, Stunt Cycling, Bicycle Stability, Case Analysis

References

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[4]	刘延柱.关于自行车的稳定性[J].力学与实践.2012（2）：90-93.
[5]	魏德明.论自行车的稳定性[J].昆明工学院学报.1986（2）：117-122.
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[7]	林修成，张朝阳.自行车行驶稳定性及后进动性的力学分析[J].合肥工业大学学报.2011（4）：287-291.
[8]	马中兴.自行车的动力学方程及运动稳定性[J].陕西科学技术大学学报.1982（10）：91-105.
[9]	黄绍书.蒋金团.自行车稳定性问题的研究与诠释[J].物理通报.2017（11）:67-70.
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[11]	吴寿宠，黄绍书.对“顶杆游戏”的力学问题分析[J].物理通报.2018（4）:46-48.

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APA Style

Huang Shaoshu, Wu Cinan. (2019). Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pacific Journal of Physics, 1(1), 1-5.

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ACS Style

Huang Shaoshu; Wu Cinan. Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pac. J. Phys. 2019, 1(1), 1-5.

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AMA Style

Huang Shaoshu, Wu Cinan. Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pac J Phys. 2019;1(1):1-5.

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@article{10035124,
  author = {Huang Shaoshu and Wu Cinan},
  title = {Case Analysis and Balance Principle of Virtual Axis Rotation},
  journal = {Asia-Pacific Journal of Physics},
  volume = {1},
  number = {1},
  pages = {1-5},
  url = {https://www.sciencepublishinggroup.com/article/10035124},
  abstract = {In this paper, the concept of rigid-axis fixed-axis rotation is proposed, and the equilibrium law that the rigid body follows during the rotation of the virtual axis is given from the perspective of moment balance, that is, the principle of rigid-axis fixed-axis rotation balance. Further, this balance principle is used to analyze two typical examples: the stability of the vehicle the bicycle. The constraint relationship of stable rotation in these two examples is shown respectively. The minimum angular velocity expression and maximum angular velocity expression for maintaining stable rotation of the flying wall and the stability of the bicycle are derived.},
 year = {2019}
}

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TY  - JOUR
T1  - Case Analysis and Balance Principle of Virtual Axis Rotation
AU  - Huang Shaoshu
AU  - Wu Cinan
Y1  - 2019/02/01
PY  - 2019
T2  - Asia-Pacific Journal of Physics
JF  - Asia-Pacific Journal of Physics
JO  - Asia-Pacific Journal of Physics
SP  - 1
EP  - 5
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10035124
AB  - In this paper, the concept of rigid-axis fixed-axis rotation is proposed, and the equilibrium law that the rigid body follows during the rotation of the virtual axis is given from the perspective of moment balance, that is, the principle of rigid-axis fixed-axis rotation balance. Further, this balance principle is used to analyze two typical examples: the stability of the vehicle the bicycle. The constraint relationship of stable rotation in these two examples is shown respectively. The minimum angular velocity expression and maximum angular velocity expression for maintaining stable rotation of the flying wall and the stability of the bicycle are derived.
VL  - 1
IS  - 1
ER  -

Copy | Download

Author Information

Huang Shaoshu

School of Mathematics and Physics, Anshun College, Anshun, China
Wu Cinan

School of Mathematics and Physics, Anshun College, Anshun, China

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Plain Text BibTeX RIS

APA Style

Huang Shaoshu, Wu Cinan. (2019). Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pacific Journal of Physics, 1(1), 1-5.

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ACS Style

Huang Shaoshu; Wu Cinan. Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pac. J. Phys. 2019, 1(1), 1-5.

Copy | Download

AMA Style

Huang Shaoshu, Wu Cinan. Case Analysis and Balance Principle of Virtual Axis Rotation. Asia-Pac J Phys. 2019;1(1):1-5.

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@article{10035124,
  author = {Huang Shaoshu and Wu Cinan},
  title = {Case Analysis and Balance Principle of Virtual Axis Rotation},
  journal = {Asia-Pacific Journal of Physics},
  volume = {1},
  number = {1},
  pages = {1-5},
  url = {https://www.sciencepublishinggroup.com/article/10035124},
  abstract = {In this paper, the concept of rigid-axis fixed-axis rotation is proposed, and the equilibrium law that the rigid body follows during the rotation of the virtual axis is given from the perspective of moment balance, that is, the principle of rigid-axis fixed-axis rotation balance. Further, this balance principle is used to analyze two typical examples: the stability of the vehicle the bicycle. The constraint relationship of stable rotation in these two examples is shown respectively. The minimum angular velocity expression and maximum angular velocity expression for maintaining stable rotation of the flying wall and the stability of the bicycle are derived.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Case Analysis and Balance Principle of Virtual Axis Rotation
AU  - Huang Shaoshu
AU  - Wu Cinan
Y1  - 2019/02/01
PY  - 2019
T2  - Asia-Pacific Journal of Physics
JF  - Asia-Pacific Journal of Physics
JO  - Asia-Pacific Journal of Physics
SP  - 1
EP  - 5
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10035124
AB  - In this paper, the concept of rigid-axis fixed-axis rotation is proposed, and the equilibrium law that the rigid body follows during the rotation of the virtual axis is given from the perspective of moment balance, that is, the principle of rigid-axis fixed-axis rotation balance. Further, this balance principle is used to analyze two typical examples: the stability of the vehicle the bicycle. The constraint relationship of stable rotation in these two examples is shown respectively. The minimum angular velocity expression and maximum angular velocity expression for maintaining stable rotation of the flying wall and the stability of the bicycle are derived.
VL  - 1
IS  - 1
ER  -

Copy | Download