无滑移的垂直圆盘在水平面上滚动的腕部慢性运动

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2017-01-01 DOI:10.2298/tam171002015o

A. Obradović, S. Šalinić, R. Radulović

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引用次数: 5

摘要

本文研究了均匀薄圆盘在水平面上无滑移滚动的臂慢运动。该问题是在最优控制理论的框架内表述和求解的。盘的臂慢运动由三个力矩控制。考察了在库仑干摩擦力作用下实现臂慢运动的可能性。分析了干摩擦系数的取值对极值轨迹结构的影响。给出了两个说明性的数值算例。

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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The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip

This paper deals with the brachistochronic motion of a thin uniform disk rolling on a horizontal plane without slip. The problem is formulated and solved within the frame of the optimal control theory. The brachistochronic motion of the disk is controlled by three torques. The possibility of the realization of the brachistochronic motion found in presence of Coulomb dry friction forces is inspected. Also, the influence of values of the coefficient of dry friction on the structure of the extremal trajectory is analyzed. Two illustrative numerical examples are provided.

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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.