Расчет уравнения движения малых колебаний эллиптического маятника с заданной начальной угловой скоростью его движения

Abstract

Difficult movement of an elliptic pendulum is considered. Are made and solved the differential equations describing movements of a slider and a ball. In work it is accepted, that during the initial moment an angle of rotation of an arrow of a pendulum from a vertical and speed of a slider are equal to zero, angle speed of rotation of an arrow are not equal to zero. With the account accepted initial conditions the equations of movement of a slider and small fluctuations of a pendulum are received.