单侧不可积约束系统的动力学

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2019-01-01 DOI:10.2298/TAM190123005K

V. V. Kozlov

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引用次数: 2

摘要

本文首先研究了由相空间不等式定义的单侧微分约束系统的动力学问题。我们给出了具有这类约束的系统运动的一般定义。在经典非完整模型的框架内，对于具有伺服约束的系统(根据B/eghin)，我们给出了系统离开双边微分约束的条件。作为一个例子，我们考虑单侧约束的Chaplygin雪橇，它是通过粘性摩擦的各向异性力来实现的。给出了确定单侧微分约束系统运动的变分原理。

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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On the dynamics of systems with one-sided non-integrable constraints

In the paper we take the first steps in studying the dynamics of systems with one-sided differential constraints defined by inequalities in the phase space. We give a general definition of motion for systems with such constraints. Within the framework of the classical non-holonomic model, and also for systems with servoconstraints (according to B/eghin), we present the conditions under which the system leaves two-sided differential constraints. As an example, we consider the Chaplygin sleigh with a one-sided constraint, which is realized by means of an anisotropic force of viscous friction. Variational principles for the determination of motion of systems with one-sided differential constraints are presented.

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

期刊介绍： Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.