simulation

Aim. The simulation of forming process for tooth flanks of worm gears for globoid worm gears by continuous forming method using disk milling cutters for development scientific well-founded recommendations about technological ensuring for manufacture of globoid worm-wheels. Method. The researches are based on kinematic analysis methods of classical mechanics, differential and analytic geometry, theory of gear wheels, theory of forming surfaces of parts by cutting.

In this work, a mathematical model is developed for simulating the behavior of a counter-current moving bed reactor, in which the reduction of porous iron ore pellets to sponge iron is simulated. Simultaneous mass and energy balances within both the solid particles and the reactor, will lead to a set of coupled ordinary differential equations. The iron ore reduction kinetics was modeled with a single particle model. The model was able to satisfactorily reproduce the data of Gilmore Steel Corporation (USA).

A comparative analysis of existing approaches to Cyber-Physical Systems simulation has been conducted. The intrinsic peculiarities of Cyber-Physical Systems have been reasoned and generalized. Thelimitations of available simulation tools have been pointed out. The approach to Cyber-Physical Systems design solutions checking on the basis of timed automata, UPPAAL integrated tool environment and Temporal Logic of Actions usage has been proposed.

The article is devoted to computer modeling of the process of cavitation in liquid
mediums. The experimental researches of the regularities of the cavitation process was
conducted, dependences of changes in the parameters of the process efficiency on the
concentration of the solution and the frequency of vibration are shown. A solid– state model of
a laboratory vibration resonance electromagnetic cavitator in SolidWorks 2016 Educational
Edition software system was created. Based on the modeling of the cavitation process, the main

A model of hydro-erosion wear of sealing elements was constructed taking into account a set of parameters that reflect the physical properties of the fluid and the material of the sealing elements, as well as the design parameters of the valves. To determine the dependence of the rate of erosion wear on a complex of parameters, we use the π-theorem of similarity and the method of dimension analysis. An expression is given that determines the change in the thickness of the erosive fracture of the sealing surfaces in time.

In the article a hydrodynamic flow model for microfluidic MEMS is presented. Methods and tools for design automation of microfluidic flows were applied. The possibilities of modern CAX tools for the simulation and optimization of fluid flow in microchannels were analyzed.

Mathematical model of log sawing to parallel of linear regressive axis by through-andthrough method into lumber with consideration of surface shape of real logs based on results of scanning for surface shape of log cross sections was developed. The features of calculation for mathematical model of sawing pattern taking account log rotation or sawing pattern around log axis at the fixed angle under cutting (sawing) by vertical and horizontal cutting planes were validated.