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A dynamical model of a considered vibrating system with one outer ring and one roller driven by a single exciter.
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As a continuous work of the previous literatures, a special dynamical model with one cylindrical roller driven by a single exciter and one outer ring, is taken for example to explore the vibratory synchronization transmission (VST) of the system considering sliding dry friction in this paper. The motion differential equations of the system, are giv...
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The paper presents the results of the study of the transient modes of a high-speed rotor with formally six degree of freedom, driven by an electric motor-generator during transition trough the resonance. Based on the Newton-Euler equation, the differential equations of motion are derived, and the frequency spectrum of the considered electro-mechani...
Citations
... However, the dry friction present in the system causes stick-slip motion of the mass (Lopez Arteaga et al., 2004;Shaw, 1986). A recent study with frictional damping was presented in Zhang et al. (2021) where, the authors introduced a unique dynamical model for a vibrating mechanical system that involves a single exciter and one outer ring. They examined the impact of sliding dry friction on the vibration amplitude and phase difference between the exciter and the excited sub-system. ...
The Sommerfeld Effect pertains to the non-linear jump phenomenon near the resonance frequency of an excited structure powered by a non-ideal drive that is incapable to supply the required power to the oscillating sub-system. Often this situation is dealt with by increasing the viscous damping present in the system at the expense of considerable power loss. However, the use of non-viscous damping for the attenuation of the Sommerfeld Effect is considered in very few articles. In this paper, the dynamics of a non-ideal DC motor-driven vibrating system with frictional slip as the dissipation element is presented. Use of the method of multiple time scales is employed to find the response of the system semi-analytically. The non-linear dynamical characteristics of the response as the motor speed crosses the resonance condition is analyzed using the linear stability analysis and subsequently, the obtained response is verified using numerical results. The transition of the operating condition between stable and unstable zones and the post-resonance dynamic behavior of such systems indicated that under proper parametric condition, it is possible to achieve a smooth variation of operating speed via a combination of stick and slip motion. Furthermore, the rate of voltage increment is also found to play a pivotal role in surpassing the critical speed of the system.
