Application of the D'alembert's principle in determining the boundary parameters of the operation of the inertia-cutting tool

The article considers the application of the d'Alembert's principle to the determination of the boundary parameters of the inertial tool used to remove carbonate sediments from the inner surface of heat exchange pipes. It was assumed that the process of embedding the working elements of the tool into the carbonate layer is mainly determined by the working contact stresses, depending on the inertial forces, which in turn depend on the speed of rotation of the tool. As a limitation criterion, the condition of having the minimum rotational speed necessary for the introduction of the tool was adopted, which is determined by the strength characteristics of the material being destroyed, as well as the parameters of tool wear. As a result of theoretical research, using the d'Alembert's principle, a dependence was obtained to determine the minimum rotation speed of the drive tool. To conduct a comparative analysis of the obtained theoretical dependence, a series of verification natural experiments was carried out. The comparison of the results of the theoretical study and the verification experiment was carried out by estimating the amount of destroyed and removed carbonate sediment material.