Наукові публікації кафедри вищої математики та фізики
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Item Устойчивость установившихся движений изолированной системы, состоящей из вращающегося тела и двух маятников(Институт механики им. С. П. Тимошенко НАН Украины, 2014) Филимонихин, Г. Б.; Филимонихина, И. И.; Пирогов, В. В.; Філімоніхін, Г. Б.; Філімоніхіна, І. І.; Пирогов, В. В.An isolated mechanical system consisting of the rotated bearing body and two pendulums implanted on its longitudinal axis is studied. This system models of decrease or increase by pendulum-, ball-, or fluid-type dampers of the angle of nutation of the space satellite, position of which is stabilized by the rotation. The conditions of origin, existence and collapse of steady-state motions of the system in dependence on its parameters. The conditions of stability of the basic motion (when the bearing body rotates around the longitudinal axis and pendulums are placed on the same line) and secondary motions (when the bearing body does not rotate around the longitudinal axis) are established. The residual angle of nutation is estimated.