CONSTRUCTION OF MATHEMATICAL MODELS FOR CONFIRMING THE RELIABILITY OF THE RESULTS OF EXPERIMENTAL RESEARCH FROM WOOD MILLING

Abstract

When conducting experimental scientific research, there is always a need to determine the accuracy of the obtained results to prove their reliability. Particular attention is paid to this in case of technical sciences, since the process of experiments involves many factors, parameters and other characteristics of the products subject to research. So, for example, in the specialties "Materials Science", "Industrial Mechanical Engineering", "Friction and Wear in Machines", and ultimately in many others, when conducting laboratory, bench or operational testing of certain characteristics of materials, modes of technological processes and processing, or surface hardening, a great number of parameters belonging to the object of research are covered. In addition to conducting a large number of experimental studies, numerical-tabular and numerical-graphical values of the studied quantities are always obtained. In this regard, there is a need to build mathematical models of the dependence of experimental studies, and sometimes even observations of the technological process, because it is not known in advance whether each of them is absolutely reliable due to the influence of a number of side factors that are considered random. Random factors include measurement errors, as well as factors resulting from the impossibility or expediency of perfectly accurate observance of the experimental conditions of each of the experimental values.
It is relevant, for example, to consider the methodology for constructing mathematical models in relation to the correspondence between the obtained experimental data [2] for the case of laboratory testing of the cutting resistance moment (CRM) during milling of oak and pine along and across the grain, depending on the dry or moist state, using a disc-shaped cutter made of 9ХС steel with electrospark coatings applied to the teeth, where analyzed was the effect of ESC of different structural-phase states, obtained by electrodes from both T15K6 hard alloy and flux-cored wires of the Fe-Mn-B-C and Fe-Cr-B-C system, on the strength indicators of milling wood materials in comparison with 9ХС steel, hardened and low-tempered, (without strengthening of teeth).
The refore, there is a need to describe the studied process in some way, i.e. to present it in a certain mathematical relationship (mathematical model).