旋转刚性管的动力学及其与空气的相互作用

IF 2.6 4区 数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY
Yifan Liu
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引用次数: 0

摘要

在水平面上旋转轴对称刚体是一种相当常见和简单的体验,但这种体验由于表现出新颖的特征和包含相当复杂的力学而吸引了大量的兴趣。本文研究了刚性管在平面上的三维旋转运动。本文给出了该运动的控制动力学方程,并对其进行了数值处理,在此基础上讨论了管的章动,模拟了管端运动轨迹。我们还讨论了为了开始一个不间断的、稳定的旋转运动,角速度应该有多快。然后利用Kutta-Joukowski定律对管的三维旋转相关的空气升力进行了建模。利用该模型,我们证明了空气举升在旋转过程中确实“提升”了管头。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the dynamics of rotating rigid tube and its interaction with air
Rotating an axially symmetric rigid body on a horizontal plane is rather a common and simple experience, but this experience has attracted a great deal of interests due to it exhibiting novel features and containing fairly complicated mechanics. This paper is concerned with the threedimensional rotational motion of a rigid tube on a plane.We present the governing dynamical equations of this motion and give a numerical treatment, based on which we discuss the nutation of tube and simulate the trajectory of tube end. We also discuss how fast the angular velocity should be in order to initiate an uninterrupted, steady rotational motion. Then the air lift related to such a three-dimensional rotation of tube is modeled by using Kutta-Joukowski law. By employing this model, we show that the air lift indeed “lift” the tube head during rotating.
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来源期刊
Mathematical Modelling of Natural Phenomena
Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
CiteScore
5.20
自引率
0.00%
发文量
46
审稿时长
6-12 weeks
期刊介绍: The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.
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