Актуальные проблемы в машиностроении. Том 13. № 1-2. 2026 Инновационные технологии в машиностроении ____________________________________________________________________ 21 THEORETICAL AND MATHEMATICAL SUBSTANTIATION OF THE EFFICIENCY OF INTEGRATED MACHINING OF INTERNAL CYLINDRICAL SURFACES ON HYBRID EQUIPMENT FROM THE PERSPECTIVE OF DIMENSIONAL CHAIN THEORY Yulusov I.S., Post-graduate Student, junior researcher. e-mail: yulusov.2017@stud.nstu.ru Novosibirsk State Technical University, 20 Prospekt K. Marksa, Novosibirsk, 630073, Russian Federation Abstract The paper presents a theoretical and mathematical rationale for the efficiency of integrated machining of internal cylindrical surfaces on hybrid equipment. Based on recent publications on hybrid manufacturing systems, high-energy high-frequency current heating, honing and digital trajectory adaptation, it is shown that the key factor of accuracy improvement is the reduction in the number of re-clampings and the transfer of the process route to a single datum base. A dimensional chain model is proposed that accounts for datum, geometric, thermal, tooling and setup errors. Relationships are obtained for estimating the cumulative error of separate and integrated process routes, as well as for linking the required technical hardening depth with finishing allowance and thermal deformation. It is shown that combining machining, HEH HFC, on-machine measurement and tool compensation reduces the closing link of the dimensional chain, decreases the required hardening depth and preserves the most efficient part of the surface layer. Practical conclusions are formulated for hybrid machine design and for selecting parameters of final honing of internal cylindrical surfaces. The review was additionally expanded with sources on plateau honing texture formation, rough honing productivity, coolant-assisted thermal stabilization, and residual stress evolution after induction hardening. Keywords hybrid equipment; internal cylindrical surfaces; honing; HEH HFC; dimensional chain; cumulative error; residual stresses; functional surface topography.
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