Моделирование эффекта "застревания" маятника на вращающемся валу

Abstract

The authors carried out the modeling of the motion of a pendulum mounted with the possibility of free rotation on the rotor shaft of an electric motor fixed in a housing on elastic supports. The peculiarities of the motion of the pendulum within the range from zero to a given value of the angular velocity of the rotor of the electric motor with the presence in this range of natural frequencies of oscillations of the mechanical system are revealed. It is established that when changing the inertia moment of a pendulum, there is possible mode of movement when the rotor rotates with a given angular velocity, and the angular velocity of the pendulum rotation is equal to one of the natural frequencies of the mechanical system. The results of a numerical experiment conducted for the first time in modeling of the motion of a pendulum on a rotating shaft confirmed the results of a previous experiment on the possible emergence of a pendulum "sticking" effect for mechanical systems of a general form.