Dynamics of Systems with Unilateral Differential Constraints

IF 0.5 4区数学 Q3 MATHEMATICS

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

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

引用次数: 0

Abstract

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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具有单边微分约束条件的系统动力学

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。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.