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Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. I
Russian Journal of Mathematical Physics ( IF 1.4 ) Pub Date : 2019-12-10 , DOI: 10.1134/s1061920819040022
A. V. Borisov , E. V. Vetchanin , I. S. Mamaev

A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant circulation under the action of external periodic force and torque. Various integrable cases are treated. Conditions for the existence of resonances of two types are found. In the case of resonances of the first type, the phase trajectory of the system and the trajectory of the foil are unbounded. In the case of resonances of the second type, the foil trajectory is unbounded, while the phase trajectory of the system remains bounded during the motion.

中文翻译:

在外部周期性力的作用下,流体中光滑箔的运动。一世

在外部周期性力和转矩的作用下,具有恒定循环非零的流体中考虑了圆形箔的平面平行运动。处理各种可积情况。找到存在两种类型共振的条件。在第一类型的共振的情况下,系统的相位轨迹和箔片的轨迹是无界的。在第二类型的共振的情况下,箔片轨迹是无界的,而系统的相轨迹在运动期间保持有界。
更新日期:2019-12-10
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