电邮这篇文章 On the movement of two interacting bodies in a medium with quadratic resistance
- 作者: Mosenkov T.A.1, Figurina T.Y.2
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隶属关系:
- Lomonosov Moscow State University
- Ishlinsky Institute for Problems in Mechanics RAS
- 期: 编号 3 (2024)
- 页面: 61-68
- 栏目: CONTROL IN DETERMINISTIC SYSTEMS
- URL: https://rjonco.com/0002-3388/article/view/676414
- DOI: https://doi.org/10.31857/S0002338824030055
- EDN: https://elibrary.ru/UQALER
- ID: 676414
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详细
The motion of two interacting bodies along a straight line in a medium with quadratic resistance is considered. The force of interaction between bodies is a control action, on which no restrictions are imposed. The problem of moving each of the bodies of the system over a given distance is solved, provided that the bodies are at rest at the beginning and at the end of the movement. In the constructed motion, moments of time at which the interaction force instantly changes the velocities of the bodies alternate with time intervals at which the interaction force is zero.
作者简介
T. Mosenkov
Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: timofei.mosenkov@math.msu.ru
俄罗斯联邦, Moscow
T. Figurina
Ishlinsky Institute for Problems in Mechanics RAS
Email: t_figurina@mail.ru
俄罗斯联邦, Moscow
参考
- Черноусько Ф.Л. Оптимальное прямолинейное движение двухмассовой системы // ПММ. 2002. Т. 66. Вып. 1. C. 3–9.
- Черноусько Ф.Л. Анализ и оптимизация прямолинейного движения двух- массовой системы // ПММ. 2011. Т. 75. Вып. 5. C. 707–717.
- Bolotnik N., Figurina T. Optimal Control of a Two-body Limbless Crawler Along a Rough Horizontal Straight Line // Nonlinear Dynamics. 2020. V. 102. № 3. P. 1627–1642.
- Zimmermann K., Zeidis I., Pivovarov M., Behn C. Motion of Two Interconnected Mass Points Under Action of Non-symmetric Viscous Friction // Archive of Applied Mechanics. Arch Appl Mech. 2010. V. 80. P. 1317–1328.
- Bolotnik N., Pivovarov M., Zeidis I, Zimmrmann K. The Motion of a Two-body Limbless Locomotor Along a Straight Line in a Resistive Medium // ZAMM. J. Applied Mathematics and Mechanics. 2016. V. 96. №. 4. P. 429–452.
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