A New Solution for the Classical Problem of a Rigid Body Motion in a Liquid

Q4 Chemical Engineering

Applied and Computational Mechanics Pub Date : 2021-10-01 DOI:10.22055/JACM.2021.38552.3245

H. Yehia, S. Megahid

引用次数: 0

Abstract

We consider the problem of the motion of a rigid body-gyrostat immersed in an incompressible ideal fluid. Based on Yehia's study [1, 2], the equations of the motion of the problem are introduced and they are reduced to the orbital equation. This reduced equation may be used to study the stability of certain motions of the body [3] and to obtain solutions for the classical problems in rigid body dynamics [4]. Using the orbital equation, a single new solution of the considered problem is obtained in which the angle between the body axis of symmetry and the vertical axis is constant.

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液体中刚体运动经典问题的新解

研究了一个刚体陀螺浸入不可压缩理想流体中的运动问题。基于Yehia的研究[1,2]，引入了问题的运动方程，并将其简化为轨道方程。该简化方程可用于研究物体[3]某些运动的稳定性，并可得到刚体动力学经典问题[4]的解。利用轨道方程，得到了物体对称轴与垂直轴夹角不变的单一新解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied and Computational Mechanics Engineering-Computational Mechanics

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

14 weeks

期刊介绍： The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.