Method of Design of Interference Fit Based on Complex Mathematical Modeling

  • Vladimir NechiporenkoEmail author
  • Valentin Salo
  • Petro Litovchenko
  • Vladislav Yemanov
  • Stanislav Horielyshev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The work presents the solution of the urgent problem for creating effective means of computer-aided design of rational fits with the interference fit for connecting machine elements during the assembly. As a result of the study, theoretical principles, methods, and software for the automated design of interference fit are developed. The structure of functional relationships between the restrictions on the ranges of values of the initial parameters for calculating fits and the parameters that meet the loading conditions taking into account the operational, strength and technological requirements for them are obtained. Research of tightened bandage joints is carried out, based on which, a model of the fit area in the form of an n-parametric geometric image was constructed, which parameters are the interference, specific pressure in the joint, and its geometric dimensions. Based on the analysis of the results of computational experiments, an algorithm is proposed for constructing a geometric interpretation of the model in two-dimensional and three-dimensional coordinate systems. To improve the program for the automated calculation of interference fit, an effective methodology is developed for the analytical description of the area of existence of suitable fits using the mathematical apparatus of the theory of R-functions. The research results allow increasing the productivity and quality of the design of interference fits, as well as recommend methodological and software tools for integration into CAE/CAD/CAM.


Specific pressure Diameter and length of fit Probabilistic tolerance interference Area of existence Constraint factors Mathematical apparatus of the theory of R-functions 


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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.National Academy of the National Guard of UkraineKharkivUkraine

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