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Machine-building technologies
ArticleName Physical modeling of deformation of a steel bushing under axial compression of an elastic-plastic vibration-damping element of a milling mandrel
DOI 10.17580/chm.2022.02.11
ArticleAuthor A. S. Yamnikov, M. N. Bogomolov, A. O. Chuprikov

Tula State University, Tula, Russia:

A. S. Yamnikov, Dr. Eng., Prof., Dept. of Mechanical Engineering Technology, e-mail:
M. N. Bogomolov, Postgraduate student, Engineer, Dept. of Mechanical Engineering Technology, e-mail:


Imperatorsky Tulsky Oruzheiny Zavod, Tula, Russia:
A. O. Chuprikov, Cand. Eng., Head of the Dept. of Intellectual Property


To reduce vibrations when milling thin-walled steel sleeves, compression is applied from the inside by uniformly distributed forces created by axial compression of an elastoplastic element made of polyurethane or rubber. It was hypothesized that the pressure at the point of application of the axial compressive force of the elastoplastic element will be higher than at the opposite end, which will lead to uneven elastic deformations of the fixed sleeve and, accordingly, to additional processing errors. When the base-push bush is pressed, the initial force builds up pressure in the first ring. In this case, the initial length of the set of washers will be reduced to a value at which the washers begin to deform and reach contact with the steel sleeve. Then, when you try to move the first ring virtually, the force of its pressing on the second will decrease by the friction force between the first ring and the steel sleeve. The theoretical dependences of the pressure distribution between sequentially located compressible elastoplastic elements are derived as functions of the friction coefficient and geometric parameters of the vibration damping sleeve system. The calculation examples show that in cases where rubber or polypropylene inserts are used as elastoplastic elements, the pressure already on the first element should be completely, and even in excess, blocked by the friction force of the elastoplastic element on the steel sleeve. To resolve this contradiction, physical modeling of the process under study was carried out. 3 rubber washers were inserted inside the steel sleeve. The set of washers was acted upon by two plungers extending into the sleeve by 2 mm. Experimental data show that the central part of the sleeve is most susceptible to deformations, the diameters of the ends also increase, but to a much lesser extent, and approximately the same, which refutes the hypothesis of uneven distribution of pressure and deformation along the length of the sleeve.
The reported study was conducted under fi nancial support of RFBR within the framework of the scientific and research project «Postgraduates” No. 20-38-90248.

keywords Non-rigid sleeve, milling, vibrations, centering mandrel, vibration resistance, elastoplastic element, transverse deformations, pressure distribution in the elastoplastic element under axial compression

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