Resonance properties of a froude pendulum with vibration of the axis of suspension (original) (raw)

The aim of the present article is an approximate investigation of the effect of two mechanisms of the generation of vibrations -parametric and autooscillational -on the formation of the resonant states of a physical pendulum with friction at its axis, for vibration of this axis. Certain problems in the dynamics of mechanisms with elastic connections, working under conditions of the vibration of the base or pulsation of an external force, problems of the vibrations of scales, a number of problems of determination of the dynamic accuracy of measuring instruments, etc., can be brought down to the study of such a mechanical model. Investigation of the dynamics of the system under consideration is also of independent interest, since, using a relatively simple example, it permits following the principal special characteristics of the dynamic interaction of the mechanisms for the generation of vibrations most used in practice, i.e., parametric, autooscillationa[, and an external harmonic force.