The current mechanical engineering is inconceivable without the implementation of CAx systems in design and manufacturing process of individual components. The automotive industry is a clear evidence of how CAx systems affect the innovation cycle of its product -a car. The innovation cycle in automotive was reduced from 8-12 years to the current 4-6 years. Even in this short interval automakers make some small design modifications called a facelift. Development in the automotive industry, therefore, is closely related to news and functionality CAx systems. CAD systems at the turn of the millennium are characterized as parametric graphic systems with a history tree of product creation. Parametric design implemented into CAD systems makes the model variable and open to rapid change management. The history tree in turn enables rapid editing and modification of forming or editing functions.

The theory and practice in engineering industry is not the same. Durability of cutting tools is defined in standard ISO 3685. In standard ISO 3685 is defined T-vc dependence for different cutting materials and standard included process evaluation of tool durability for cutting materials made of high speed steel, sintered carbide and cutting ceramic. Standard ISO 3685 contains instructions how to create T-vc dependence for cutting tools made of cutting ceramic. In this standard are only instructions how to create T-vc dependence according to Taylor. The article compares T-vc dependencies for various cutting ceramics (Al2O3, Al2O3+ZrO2, Al2O3+TiCN) with T-vc dependence defined in standard ISO 3685, because this standard describes T-vc dependence for all entered cutting materials together.

Currently, in view of the fact that almost all the tasks of the practice of controlling CNC machine and robot drives cannot be accurately represented by linear models, and there is no solution to non-linear models in the general case, a very important task is to develop control algorithms based on discrete models. Discrete models of nonlinear systems assume variable state, control, and measurement matrices that determine an infinite number of variants of this model. Therefore, some tool is needed to calculate the degree of adequacy of mathematical models and real objects. The paper considers theoretical statements related to the main directions of research in the field of theoretical issues - the study of the dynamics of CNC machine and robot drives and their modeling. The paper studies the drives of CNC machine and robots by the criterion of identifiability based on a discrete digital control model. Criteria of observability, controllability and identifiability of drives are considered as a function of the rank of an extended state matrix with a measurement matrix, in which the relative errors of the information-measuring system are analytically taken into account. An algorithm for calculating the identifiability criterion for a nonlinear control system in a discrete linearization version is proposed. It is proposed to use identification in terms of the correspondence of the mathematical model to the results of the operation of the object. Drive control by means of a discrete vector-matrix algorithm involves the calculation of the state matrix at each step. Therefore, at each step, the determinant of the extended matrix is calculated, which is compared with a constant that numerically divides the space of the state matrices. Thus, the operation of the drives itself makes it possible to determine its identifiability. As a criterion for the optimality of the identification algorithm, a decision-making optimality criterion is chosen in combination with an identifiability criterion for an optimal control algorithm by the criterion of minimum quadratic form. The vector-matrix model of drives in the state space is presented taking into account the relative accuracy of measuring the state of the information-measuring subsystem of drives. It is proposed for practical problems to determine the identifiability criterion by modeling the state matrix for cases when the state matrix parameters exit the space of realizable parameters of serviceable drives. The linearized model of CNC machine and robot drives has limitations in accordance with technical characteristic, for example, restrictions on the strength of electric current and voltage. The obtained research results can be used to build diagnostic systems for CNC machine and robot drives.

Shaping of surfaces during finish machining using intermittent abrasive tools requires optimized technological systems design and parametrization. To achieve that, theoretical base including equations of motion for discontinuous grinding and calculation of forced vibrations of elastic technological systems is implemented. Approximation of radial component of cutting force provides ability to study the dependence of amplitudes and phases of oscillations of technological system under the action of k-th harmonic of disturbing force. Direct correlation between the surface layer shape errors and the parameters of forced oscillations was observed.

The paper describes a diagnostic system for electromechanical equipment with a decision-making block based on a neural network. An asynchronous gear drive was used as a control object. Decision making was carried out on the basis of a comprehensive analysis of vibration data (from the gear drive) and the current consumption of the induction motor. Vibration velocity, vibration acceleration and current in the phases of the stator winding of the drive electric motor are distinguished as diagnostic signs. The work shows the possibility of increasing the efficiency of diagnostics of electromechanical equipment by using complex analysis with the use of an intelligent decision-making unit. Analysis of the results of the neural network operation with the received vibration and current data showed that with a smaller number of iterations (training time) (by 40 %), 97.9 % of correct answers and a lower error value (by 12 %) were obtained.