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Dynamical processes simulation of unbalanced vibration devices with eccentric rotor and induction electric drive DOI:10.15199/48.2019.04.14

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A using of vibration technologies allows intensify production processes, improve the work quality, create materials with new properties, reduce the material and energy intensities of equipments [1]. Vibration machines on elastic supports with an eccentric rotor, unbalances and an induction electric drive have several advantages. The constructions of such mechanisms are simple, but their motion parameters can be determined only by dynamic analysis, since the devices perform oscillations [1, 2]. Additional difficulties are caused with correct description of the dynamic feature of an induction motor (IM) at transient modes and a load with oscillating character [3]. Investigations of dynamical processes simulation, parameters choice, predictions of technological qualities for devices are very significant and urgency. At present, mathematical models of vibration devices are not sufficiently developed. In the papers [4, 5], the motion equations of the simplest mechanism model are obtained at steady-state operating modes and under the assumption that a working chamber performs translational motion. However, in most cases the translational motion conditions are not met. In addition, frequent starts and stops of devices are the characteristic modes of its operations, so the calculations of transient processes are very relevant. The cheap and easy-to-use IM generates additional difficulties associated with the description of its dynamic features at transient modes and a load with oscillating character. The using of linearized static characteristics [6], or linearized differential equations [7], which approximately describe electromagnetic transient processes in electric motors, leads to a significant overestimating of the calculated torque of IM compared with the experimental one [3]. An absence of reliable mathematical models makes it difficult: a choice of motors that provide start-up of devices; a parameters determining of the w[...]

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