АНАЛИТИЧЕСКОЕ РЕШЕНИЕ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ДВИЖЕНИЯ ТВЕРДОГО ТЕЛА С ЖИДКОСТЬЮ БОЛЬШОЙ ВЯЗКОСТИ

Алексей Владимирович Алексеев
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Abstract

The spatial movement around of the centre of weights girostate with a cavity containing a liquid of the large viscosity is considered. On the basis of the basic theorems of dynamics the mathematical model of movement of system consisting of a firm body with a liquid and three rotors is under construction. For a case girostate with one rotor, the approached analytical decision of dynamic and kinematic equations of movement is determined. Under the received decisions the influence of a liquid on movement of the satellite is determined.
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大粘性液体固体运动方程的分析解
考虑了含有大黏度液体的空腔中质心的空间运动。在动力学基本定理的基础上,建立了由一个刚体、一个液体和三个转子组成的系统运动的数学模型。对于单转子的情况,确定了运动动力学方程和运动学方程的逼近解析解。在接收到的决策下,确定了液体对卫星运动的影响。
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ГИБРИДНАЯ СИСТЕМА ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ, ОПИСЫВАЮЩАЯ СИСТЕМЫ ТВЕРДЫХ ТЕЛ, ПРИКРЕПЛЕННЫХ К БАЛКЕ ТИМОШЕНКО ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ ТИПА КЛЕРО В ЧАСТНЫХ ПРОИЗВОДНЫХ СО СТЕПЕННОЙ ФУНКЦИЕЙ МОДЕЛИРОВАНИЕ И ПРОГНОЗИРОВАНИЕ ПОСТУПЛЕНИЯ НАЛОГОВ В КОНСОЛИДИРОВАННЫЙ БЮДЖЕТ ПО СУБЪЕКТАМ РОССИЙСКОЙ ФЕДЕРАЦИИ ПРИМЕНЕНИЕ ПРИНЦИПА ДАЛАМБЕРА ПРИ ОПРЕДЕЛЕНИИ ГРАНИЧНЫХ ПАРАМЕТРОВ РАБОТЫ ИНЕРЦИОННО- РЕЖУЩЕГО ИНСТРУМЕНТА О ВЕРОЯТНОСТНОМ МОДЕЛИРОВАНИИ ОДНОГО ПРОЦЕССА ВЗАИМОДЕЙСТВИЯ ЧАСТИЦ
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