Brachistochrone with Linear Viscous Friction

A.V. Zarodnyuk; O.Yu. Cherkasov

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Brachistochrone with Linear Viscous Friction

机译：带线性粘滞摩擦的腕臂钟

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A brachistochrone problem is considered for a medium with linear viscous friction. The optimal control problem is reduced to a boundary value problem for a system of two nonlinear differential equations. The trajectories of motion are qualitatively analyzed, their typical features are found and verified by solving this boundary value problem numerically.

机译：对于具有线性粘滞摩擦的介质，考虑了腕旋时间问题。对于两个非线性微分方程系统，最优控制问题简化为边值问题。定性地分析了运动轨迹，并通过数值求解该边界值问题找到并验证了它们的典型特征。

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《Moscow University Mechanics Bulletin》 |2015年第3期|70-74|共5页
作者
A.V. Zarodnyuk; O.Yu. Cherkasov;
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Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

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2. Brachistochrone Problem with Coulomb Friction and Viscous Drag: Qualitative Analysis ? [J] . O. Yu. Cherkasov, A.V. Zarodnyuk IFAC PapersOnLine . 2015,第11期

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3. Brachistochrone with Dry and Arbitrary Viscous Friction [J] . Yu. F. Golubev Journal of Computer and Systems Sciences International . 2012,第1期

机译：具有干和任意粘性摩擦的腕足钟
4. Brachistochrone Problem with Coulomb Friction and Viscous Drag: Qualitative Analysis [C] . O. Yu. Cherkasov, A. V. Zarodnyuk IFAC Conference on Modelling, Identification and Control of Nonlinear Systems . 2016

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5. Modeling of dynamic friction, impact backlash and elastic compliance nonlinearities in machine tools, with applications to asymmetric viscous and kinetic friction identification. [D] . de Marchi, Julian Andrew. 1998

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6. On the Relative Contribution of Viscous Flow ys. Diffusional (Frictional) Flow to the Stationary-State Flow of Water through a Tight Membrane [O] . D. C. Mikulecky 1967

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7. Optimal thrust control for brachistochrone with viscous friction [O] . А.В. Зароднюк, А.Н. Закиров, О.Ю. Черкасов 2018

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Brachistochrone with Linear Viscous Friction

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