Problem statement and the research purpose. The problem of managing the durability of tribocouplings for bodies whose materials are heterogeneous systems is currently an open problem. The purpose of the work is to develop mathematical approaches for finding a solution to this problem using the example of antifriction materials based on lead babbitt. Methodology of the study. The work uses mathematical modeling, author's methods of calculating "averaged" properties for non-local environments, computational tribology approaches. Results of the investigations. The optimal content of the solid structural component of the material was established, at which the wear resistance of the sliding bearing inserts is maximally increased. Scientific novelty. In the work, a methodological approach to the problem of managing the operational parameters of sliding bearings is formed. Practical value of the results. The developed technique makes it possible to numerically determine the content of the components of binary heterogeneous systems, which increase their operational parameters. Scopes of further investigations on the subject of the paper. Further research can be directed to the search for optimal mechanical parameters of the "interface" zone of interaction between the hard and soft structural components in the material.
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