Coupled dynamics for an electromagnetic harmonic movable-tooth drive system with eccentricity

摘要

This paper illustrates the operating principle of an electromagnetic harmonic movable-tooth drive system. The equations of the electromagnetic force and flexible-wheel deformation under eccentricity are deduced. Electromechanical coupled equations of the free vibration and forced responses of the flexible wheel under eccentricity are developed. Using these equations, the displacement distributions of the flexible ring under eccentricity are investigated and the relationship between radial displacement and coil current is determined. The effects of the eccentricity and other parameters on natural frequencies and vibration modes of the flexible ring are investigated. Also, the forced responses of the eccentric flexible ring to exciting current are analyzed. The results show that the limit current under which the flexible ring will be buckled is reduced when eccentricity occurs. Under eccentricity, the natural frequency of the flexible ring decreases and its vibration amplitudes change. The effects of the eccentricity become large when the flexible ring radius and the coil current are large and the flexible ring thickness and air gap are small. The results can be used to design and analyze this type of drive system.