Bifurcations in Dynamics of Chaplygin Ball

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2022-02-11 DOI:10.3103/S0027133021050046

Shamil Magomedov

引用次数: 0

Abstract

The stationary motions of an inhomogeneous dynamically symmetric ball on an absolutely rough plane are studied in the special case of the center of mass passing the highest point. The system is analyzed numerically, and the existence of stable and unstable precessions is discovered. The results are presented in the form of bifurcation diagrams.

Abstract Image

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Chaplygin球动力学中的分岔

研究了非均匀动对称球在绝对粗糙平面上质心经过最高点的特殊情况下的静止运动。对系统进行了数值分析，发现了稳定岁差和不稳定岁差的存在。结果以分岔图的形式给出。

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

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.