International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

A fundamentally new methodological approach to the creation of progressive machine-tool equipment is proposed when considering a material point as a carrier of genetic information in the synthesis of technical systems of the “object” type. The main attention is paid to the search for new technical solutions with the use of tangential clamping, which allows one movement to simultaneously clamp several cutting tools offset from the axis of rotation, for example, in the form of carbide non-regrowth inserts.

In theoretical study of most of agricultural machines working bodies there is a need of the modeling of material particles (material points) motion on their working surfaces. Questions of such modeling in cases when the specified surfaces are give to material points movement with difficult trajectories are especially difficult. Objective of this research is to develop the basic provisions of complex movement theory of material point. When carrying out research methods of modeling theory, theoretical mechanics, higher mathematics, in particular differential geometry, methods of drawing up programs and numerical calculations on the personal computer are used. As a result of the conducted theoretical research the complex movement of material point which relative movement happens in a moving trihedron of curve which is defined by the natural equations is considered. The figurative movement of a trihedron is defined by differential characteristics of curve. Competency of use of Frenet formulas for finding absolute speed and point acceleration in projections on unit vectors of the moving trihedron is proved. As a result of numerical calculations on the personal computer there were found absolute trajectories of material point movement and qualitative assessment of received results was carried out.