Self-oscillation of the Froude pendulum (Numerical study)

Abstract

A numerical study of the self-oscillation of the Froude friction pendulum is presented. For comparison with approximate analytical or graphical solutions, the cubic approximation is used as one of the approximations of the friction characteristic; changes in the case of other approximations are shown.By results of the conducted computational experiment was built characteristics of the amplitude of self-oscillations from dimensionless ratios, complexes of similarity, which showed the convergence of the estimated and actual (obtained by numerical integration) values of the amplitudes of oscillation for small values of friction and slope characteristics; if you increase the moment amplitude is also increased.It is noted that the results of computer modeling will significantly depend on the design, manufacturing technology and operating conditions of the device in question.