This analysis reports on a mathematical model of a resonant vibration stand, indicating efficient testing capabilities for the aviation industry.
The article presents a mathematical model of a resonant two-mass vibration stand with an inertial exciter, driven by an asynchronous electric motor through a hydraulic coupling. The necessary parameters of the mechanical vibration system and drive are substantiated. The design feature of the vibration stand is as follows: the drive shaft of the hydraulic coupling is driven by an electric motor, and the driven shaft of the hydraulic coupling is connected to the unbalanced mass. The work simulates a vibration stand. As a result of mathematical modeling, it was established that the rotor of the electric motor reaches the nominal operating modes, and the unbalanced mass speed “hangs” in the vicinity of the resonant peak due to processes associated with the Sommerfeld effect. This allowed for the automatic “fixing” of the frequency of forced oscillations with close pre-resonance tuning, providing energy-saving operating modes in the vibration stand. Expensive control systems are not required.
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Kapalo et al. (2025) studied this question.
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