A formula of the theoretical head, which gives the value of the impeller in terms of its geometrical parameters, is used to calculate the pump head at the stage of theoretical design. One of the main assumptions in this case is a strip theory, which does not take into consideration the unevenness of curves of the meridional and circumferential velocity components at the impeller outlet of a centrifugal pump. The article studies this influence. Describes a mathematical model for theoretical and numerical calculations. Shows the figures of the flow part under study and of the computational grid. For complete formalization of the problem the meshing models and boundary conditions are shown. As the boundary conditions, full pump-inlet head into the flow part and velocity at the outlet were used. Then, there are the graphs to compare the results of theoretical and numerical calculation and the error is shown. For comparison, a value of the theoretical head was multiplied by the efficiency, which was defined by computer simulation. A designing process of the flow part was iterative, so the comparison was carried out for all iterations. It should be noted that correction for the finite number of blades is also assumption. To determine a degree of the errors impact because of this correction, an average value of the circumferential component of the fluid velocity at the impeller outlet was calculated by two above methods followed by their comparison. It was shown that this impact is negligible, i.e. correction provides a sufficiently accurate value. In conclusion, the paper explains the possible reasons for inaccuracies in theoretical determination of the head, as well as the option to eliminate this inaccuracy, thereby reducing the time required for defining the basic parameters of the flow part. To illustrate the nature of fluid flow, for the last iteration are given the fields of the pressure distribution and the velocity vector in the equatorial section of the flow. All calculations were performed for both capacity values of the dual-mode pump.

To calculate dynamic loading of transmission parts of wheeled vehicles, it is necessary to build up the appropriate calculated dynamic systems and determine their inertial, elastic, and damping parameters.

The initial point of this process is to form an initial dynamic system. Hereafter, to cut the time of computations there is a need to reduce the number of masses of this system, and sometimes simplify its structure. The main requirement to be fulfilled in this case is that the calculated dynamical system is to be equivalent to the initial one (in terms of similarity of the vibrational process characteristics in these systems, i.e., the frequencies and modes of oscillations of both systems, their amplitude-frequency characteristics). This is possible when the energy characteristics of the corresponding systems are equal, i.e. their kinetic and potential energies, dissipative functions, and external force energies.

Usually, when forming the initial and calculated dynamic systems, all types of friction are reduced to a linearly viscous one. However, it disables us to investigate the motion of these systems if there is an arbitrary, in particular, poly-harmonic action (for example, on the side of the internal combustion engine), since in this case the linear friction coefficients given will depend on the frequency and amplitude of the oscillations.

The paper is aimed at determining the equivalent parameters of calculated dynamic systems of wheeled vehicles, including the dissipative parameters for the general case of friction.

On the basis of energy principles, the expressions are obtained to determine the equivalent inertial, elastic, and damping parameters of the calculated dynamical systems of wheeled vehicles when the structure is changed and the number of masses of the system is decreased. The presented technique enables us to investigate the motion of these systems under arbitrary, including poly-harmonic, action on the system, using the calculated or experimentally obtained friction parameters in the dynamic system components, which are independent on the frequency and the amplitude of the oscillations, rather than the reduced coefficients of linear friction.

In addition to the kinematics and geometric parameters of the tool, parameters of chip formation and cutting forces lay the groundwork for theoretical analysis of various types of machining.

The objective of research activities is to develop a calculation technique to evaluate parameters of chip formation and cutting forces when machining such plastic materials as structural carbon and alloy steels, and aluminum alloys. The subject of research activities is directly a cutting process, algorithms and calculation methods in the field under consideration. A theoretical (calculated) method to analyse parameters was used. The results of qualitative and quantitative calculations were compared with the published experimental data.

As to the chip formation and cutting forces, a model with a single shear plane is analyzed, which allows a quantitative evaluation of the parameters and of the process factors. Modern domestic and foreign authors’ publications of cutting metals use this model on the reasonable grounds. The novelty of the proposed technique is that calculation of parameters and cutting forces does not require experimental research activities and is based on using the known mechanical characteristics of machined and tool materials. The calculation results are parameters, namely the shear angle, velocity factor of the chip, relative shift, friction coefficient at the front surface, cutting forces, etc. Calculation of these parameters will allow us to pass on to the thermo-physical problems, analysis of tool wear and durability, accuracy, quality and performance rate.

The sequence of calculations is arranged in the developed user program in an algorithmic programming language with results in graphical or tabulated view. The calculation technique is a structural component of the cutting theory and is to be used in conducting research activities and engineering calculations in this subject area.