On the Motion of a Bead on a Rough Hoop Freely Rotating Around a Vertical Diameter

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-09 DOI:10.1134/S0025654424604440

A. A. Burov, V. I. Nikonov, E. A. Nikonova

引用次数: 0

Abstract

We consider the problem of the motion of a heavy bead strung on a rough heavy hoop freely rotating around a vertical diameter. Non-isolated sets of steady motions of the system are identified, and their bifurcation diagrams are constructed. The dependence of these solutions on an essential parameter of the problem—the constant of the cyclic integral—is studied. The results obtained are compared with the results obtained previously for the case when a rough hoop rotates around a vertical diameter with a constant angular velocity. Typical phase portraits are constructed for various combinations of system parameters.

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围绕垂直直径自由旋转的粗箍上的球头运动

我们考虑系在粗重环上的重珠绕垂直直径自由旋转的运动问题。识别了系统的非孤立稳态运动集，并构造了它们的分岔图。研究了这些解与问题的一个基本参数——循环积分常数的关系。所得结果与先前粗箍以恒定角速度绕垂直直径旋转的结果进行了比较。针对系统参数的各种组合，构造了典型的相图。

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

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.