具有单边微分约束条件的系统动力学

Pub Date : 2024-03-14 DOI:10.1134/S1064562423701326

T. V. Salnikova, E. I. Kugushev, A. A. Demidov

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引用次数: 0

摘要

研究考虑了一个具有线性微分不等式形式约束的动力系统。研究证明，在一般情况下，这种约束条件下的运动是无冲击的。证明了通过粘性摩擦力实现这种约束的可能性。给出了一个非全局系统的例子，通过数值模拟演示了随着各向异性程度的增加，具有各向异性粘性摩擦力的系统如何转变为具有单边微分约束的系统。

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 Systems with Unilateral Differential Constraints

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Dynamics of Systems with Unilateral Differential Constraints

A dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that, in the general case, the motion under such constraints is impactless. The possibility of implementing such constraints by viscous friction forces is shown. An example of a nonholonomic system is given that demonstrates via numerical simulation how a system with anisotropic viscous friction transforms into a system with unilateral differential constraints as the degree of anisotropy increases.

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