A New Approach to the Brachistochrone Problem with Allowance for Dry Friction

IF 0.8 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Letters Pub Date : 2024-07-31 DOI:10.1134/s1063785024700457

S. O. Gladkov

引用次数: 0

Abstract

Using a new variational approach to the brachistochrone problem with allowance for dry friction, an analytically justified system of differential equations that yields the exact solution to the problem has been obtained. The dependence of the velocity on the friction coefficient has been calculated, and the parametric trajectory equation is reported.

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考虑到干摩擦的 Brachistochrone 问题的新方法

摘要使用一种新的变分方法来处理考虑到干摩擦的 brachistochrone 问题，得到了一个分析合理的微分方程系，从而得到了问题的精确解。计算了速度与摩擦系数的关系，并报告了参数轨迹方程。

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

Technical Physics Letters 物理-物理：应用

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

2-4 weeks

期刊介绍： Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.