一串物体在阻性介质中的平移运动

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.12.002

F.L. Chernous’ko

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引用次数: 6

摘要

研究了在电阻介质中固体链在每对相邻物体之间安装致动器的作用下的平移运动。在各向同性和各向异性情况下，考虑了介质的线性和二次电阻情况。结果表明，由作动器产生的内力可以影响链条周期性变化速度的平移运动。构造了一种控制相互作用体实现这种运动的算法，并得到了保证其实现的充分必要条件。估计了系统平动的平均速度。

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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Translational motion of a chain of bodies in a resistive medium

Translational motion of a chain of solid bodies in a resistive medium under the action of actuators mounted between each pair of neighbouring bodies is investigated. Cases of media with linear and quadratic resistance in the isotropic and anisotropic cases are considered. It is shown that the internal forces produced by the actuators can effect translational motion of the chain with periodically varying velocity. An algorithm for controlling the interacting bodies in such a way as to effect such a motion is constructed, and necessary and sufficient conditions are obtained, guaranteeing its realization. The average velocity of translational motion of the system is estimated.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.