外围可变形车轮的动力学特性

IF 0.8 Q2 MATHEMATICS
V. G. Vil’ke, I. F. Kozhevnikov
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引用次数: 0

摘要

摘要 我们考虑的车轮模型由一个轮盘和一组与轮盘相连的连续杆组成。这些杆由一组自由端连续的质量块代替,通过弹簧和阻尼器(花纹杆的纵向和横向刚度)连接到轮盘上。粘性摩擦作用于杆与路面的接触点。考虑到接触区域边界点的冲击现象,得到了车轮在垂直面上的运动方程。求出了变形外围的形状、接触面积、稳定状态下杆的振动频率。在车轮平移速度和角速度恒定的情况下,确定了稳态机制存在所需的外力功率值。此外,还研究了车轮在垂直面上围绕加载车轮平衡位置的振动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Dynamics of a Wheel with a Deformable Periphery

Dynamics of a Wheel with a Deformable Periphery

Abstract

We consider a model of a wheel consisting of a disc and a continuous set of rods joined to the disc. The rods are replaced by a continuous set of masses at free ends, joined by springs and dampers (the longitudinal and transverse stiffness of the tread rods) to the wheel disc. The viscous friction acts at the contact points of the rods with the road. The equations of motion of the wheel in the vertical plane are obtained, taking into account the impact phenomena at the boundary points of the contact area. The shape of the deformed periphery, the contact area, the frequencies of rods vibrations in steady-state regime are found. The value of external forces power required to existence of a steady-state regime is determined when wheel translational motion speed and its angular velocity are constant. The wheel vibrations in the vertical plane about the equilibrium position of the loaded wheel are also studied.

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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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