Development of mathematical model, classification, and structures of controlled friction and vibration mechanisms

The purpose of this article is to further develop and improve theoretical research; to develop methods for calculating friction and vibration mechanisms with controlled parameters and links; to analyze and generalize theoretical studies and designs of existing friction and vibration mechanisms with controlled parameters and links; to improve general classification of parameters and links control in the investigated mechanisms; to justify and develop a new generation of improved friction and vibration mechanisms with controlled parameters. The reliability of the research results is substantiated by a mathematically correct statement of the problem based on the principles of precision vibration mechanics, modern methods of vibration theory and computer programs, development of methods for the qualitative study of differential equations, and positive results of testing of a new design of the developed horizontal vibration mill.

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