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A full-fledged transformation is impossible without the use of new didactic approaches and without the creation of a qualitatively new educational and methodological support. This is due to the peculiarities of the modern student. Modern students were born and grew up in an information-saturated world and they are dominated by clip thinking, which is focused on processing information in short portions. Based on this, the problem of developing such training programs that would be aimed at independent work, based on game methods of presenting information, would take into account the psychophysiological features of perception, processing and storage of information by a modern person becomes urgent.To solve this problem, the authors analyzed the results of cognitive psychology research, conducted a self-analysis of the experience of developing and implementing three-dimensional interactive training programs in the educational process.The paper reveals the problems and disadvantages of traditional ways of presenting information. Examples of the implementation of interactive training applications are shown. The method of organizing a distributed distance learning system is presented.The conducted research allowed us to outline ways to modernize educational and methodological support by using interactive applications, mobile learning, resource allocation, introduction of modern digital solutions and creation of a comfortable educational environment.

PURPOSE. The study deals with the development of the theoretical bases of the dynamics of commutator contact group elements. The dynamic interaction of the brush and commutator in the conditions of vibration loading of the traction motor body is discussed. METHODS. The feature of the study is consideration of a possible loss of the unilateral brush-commutator contact as a result of vibration effects of internal and external forces. The method of mathematical model construction based on the use of the generalized function of the gap and considering unilateral constraints is proposed. The first stage of mathematical model construction allows for the possibility of computational scheme reduction to material particle interaction with a vibrating surface in the gravitational field. The model under investigation takes into account non-standard force factors through the introduction of the additional semi-permanent force applied to the brush. RESULTS AND THEIR DISCUSSION. The impact of force factors on continuous gap-forming modes of brushes is shown. The analytical conditions reflecting the interaction features of the brush in the interval of rise and fall on the commutator surface are formulated. The results of numerical simulation of force factors for periodic losses of contact with continuous brush tossing are presented. CONCLUSIONS. The developed mathematical model of the commutator element interaction using the function of gap allows to take into account the possibility of contact loss in the complex forms of brush and commutator interactions and can find application in the development of control devices of brush and commutator surface contact modes.

Introduction. The possibilities of creating new approaches to the evaluation of the dynamic properties of mechanical oscillation systems are considered. The research objective is to develop a method for constructing mathematical models of mechanical oscillatory systems with several degrees of freedom based on the concepts of system-forming fundamental capabilities of dyads as certain structural formations that determine features of the states of the initial system as a whole. Materials and Methods. Approaches and techniques of the structural mathematical modeling are used, within which a mechanically oscillating system is compared with a dynamically equivalent structural diagram of an automatic control system. Estimation of the dynamic properties and introduced additional couplings is based on the application of transfer functions, amplitude-frequency characteristics, and frequency analysis technologies. Research Results. The changeability of the dynamic system properties through introducing additional constraints that realize the transformation of states in the interactions of elements on the basis of double differentiation effects is proved. The possibilities of changes that can be initiated by devices for converting motion are shown. Discussion and Conclusions. A technique for building mathematical models of dyads, and a technology for estimating their dynamic properties are developed. Physically realizable schemes of the design engineering solutions based on motion translation devices are proposed.