Oscillations of the orthogonal mechanism with a non-ideal source of energy in the presence of a load on the operating link

Abstract

This work studies the features of vibrational motion of an orthogonal mechanism with disturbances, such as restricted power in the presence of a fixed load on the horizontal link. Dynamic and mathematical models were prepared, and the operating conditions’ fields of existence for the vibration mechanism in terms of the driving power were defined. With stable rotational operating conditions of the mechanism, it was shown that the value of the angular rate of the driving link varies about its average value according to the harmonic law. The frequency of the change in the value of the angular rate equals the average value of this rate, and the amplitude is inversely proportional to this value. Therefore, the average value of the angular rate depends on the features of the driving link and the sources of power. The rotational motions of the mechanism are demonstrated to be stable. The librational motions of the mechanism were examined. An amplitude-response curve was built, and the conditions that contribute to the amplitude of driving link’s oscillations were defined. The law of variation of the amplitude of the librational motion was established. The frequency of the oscillations were shown to depend on the amplitude and the parameters of the power and mechanism source.Because the mathematical model provided good practical results, the results of this research can be successfully used during the design of vibration equipment with orthogonal mechanisms.