This article reports a mathematical model of an eccentric-pendulum vibration stand, highlighting its advantages in the aviation industry.
The article presents a mathematical model of the oscillation system of a resonant vibration stand with an eccentric-pendulum drive. The principle of operation of this stand is as follows. A shaft is installed in the body of the reactive body, on which a pendulum is placed with eccentricity. The shaft is driven by an asynchronous electric motor through a flexible coupling. The pendulum and the reactive body are periodically displaced relative to each other by the amount of eccentricity due to the rotation of the shaft. The working (active) body is disturbed by the movement of the reactive body. The article outlines the advantages of machines of this type in comparison with the most common types. A mathematical model is compiled in the form of seven second-order differential equations. The parameters of the mechanical oscillation system and drive are given. The operation of the oscillation system of the resonant vibration stand is simulated. As a result of mathematical modeling, it was established that this model of the vibration stand is promising for implementation in industry.
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Svyshch et al. (2025) studied this question.
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