Skip to main content

Method of Design of Interference Fit Based on Complex Mathematical Modeling

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

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.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Kupriyanov, A.V.: The strength of the connection with an interference fit in the presence of an error in the geometry of the form. Bull. KhNTU 3(54), 145–150 (2015). (in Ukrainian)

    Google Scholar 

  2. Malitsky, I.F., Chernyatina, E.V.: The influence of roughness and processing methods on the strength of the interference fit. Eng. Ser. Eng. Technol. 13, 149–153 (2014). (in Ukrainian)

    Google Scholar 

  3. Ryazantseva, I.L., Dyundik, O.S.: The interference fit of increased bearing capacity. Dyn. Syst. Mech. Mach. 6(1), 109–113 (2018). (in Russian)

    Google Scholar 

  4. Malitsky, I.F., Yaroslavova, A.B.: Quality joints with guaranteed fit of parts with insufficient rigidity. Eastern-Eur. J. Enterp. Technol. 3,2(15), 33–36 (2005)

    Google Scholar 

  5. Mengel, R., Häberle, J., Schlimmer, M.: Mechanical properties of hub shaft joints adhesively bonded and cured under hydrostatic pressure. Int. J. Adhes. Adhes. 27(7), 568–573 (2007)

    Article  Google Scholar 

  6. Croccolo, D., Agostinis, M., Mauri, P.: Influence of the assembly process on the shear strength of shaft–hub hybrid joints. Int. J. Adhes. Adhes. 44, 174–179 (2013)

    Article  Google Scholar 

  7. Croccolo, D., Agostinis, M., Vincenzi, N.: Design and optimization of shaft–hub hybrid joints for lightweight structures: analytical definition of normalizing parameters. Int. J. Mech. Sci. 56(1), 77–85 (2012)

    Article  Google Scholar 

  8. Bottini, L., Boschetto, A.: Interference fit of material extrusion parts. Add. Manuf. 25, 335–346 (2019)

    Google Scholar 

  9. Dörr, F., Funk, M., Liewald, M., Binz, H., Köstlmeier, R.: Influence of internal hub profile on joining process of shaft-hub-connection by lateral extrusion. Procedia Eng. 81, 1988–1993 (2014)

    Article  Google Scholar 

  10. Skoblo, T., Ribalko, I., Sidashenko, A., Tikhonov, A., Naumenko, A.: Assessment of thermal stresses during restoration using a new surfacing method. MOTROL. Comm. Motorization Energetics Agric. 15(7), 17–25 (2013)

    Google Scholar 

  11. Karataev, O.R., Khamidullina, D.A., Tyurin, A.N.: Tightened bandages and calculations in the APM Joint module. Bull. Kazan Technol. Univ. Eng. 17(23), 317–319 (2014). (in Russian)

    Google Scholar 

  12. Stepanov, M., Ivanova, L., Litovchenko, P., Ivanova, M., Basova, Y.: Determination of parameters of cylindrical grinding with additional intermediate dressing. In: Advances in Design, Simulation and Manufacturing II: DSMIE 2019 Conference Proceedings, LNME, pp. 330–340 (2019)

    Google Scholar 

  13. Salo, V., Rakivnenko, V., Nechiporenko, V., Kirichenko, A., Horielyshev, S., Onopreichuk, D., Stefanov, V.: Calculation of stress concentrations in orthotropic cylindrical shells with holes on the basis of a variational method. Eastern-Eur. J. Enterp. Technol. 3,7(99), 11–17 (2019)

    Google Scholar 

  14. Salo, V.A., Nechiporenko, V.M.: Research of durability of the elastic cylindrical structure affected by the local loading. Collect. Sci. Works NANGU 2, 76–82 (2017). (in Ukrainian)

    Google Scholar 

  15. Rvachev, V.L., Krupa, L.V., Sklepus, N.G., Uchishvili, L.A.: The method of R-functions in problems of bending and vibrations of complex shape. Scientific Thought, Kharkiv (1973). (in Ukrainian)

    Google Scholar 

  16. Nechyporenko, V.M., Salo, V.A., Litovchenko, P.I., Kovbaska, B.V., Verkhorubov, D.O.: Using of the theory of R-functions for producing a rational interference fit. Collect. Sci. Works NANGU 2, 72–76 (2016). (in Ukrainian)

    Google Scholar 

  17. Awrejcewicz, J., Kurpa, L., Shmatko, T.: Investigating geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness via the R-functions theory. Compos. Struct. 125, 575–585 (2015)

    Article  Google Scholar 

  18. Balestrino, A., Caiti, A., Crisostomi, E., Grammatico, S.: Stabilizability of linear differential inclusions via R-functions. IFAC Proc. 43(14), 1092–1097 (2010)

    Article  Google Scholar 

  19. Pokras, V., Rvachev, M.: Application of the R-functions method to visioplastic analysis in metal forming. J. Mater. Process. Technol. 60(1–4), 493–500 (1996)

    Article  Google Scholar 

  20. Varvak, M.: Ellipsoidal/radial basis functions neural networks enhanced with the Rvachev function method in application problems. Eng. Appl. Artif. Intell. 38, 111–121 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Nechiporenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

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

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Nechiporenko, V., Salo, V., Litovchenko, P., Yemanov, V., Horielyshev, S. (2020). Method of Design of Interference Fit Based on Complex Mathematical Modeling. In: Ivanov, V., Trojanowska, J., Pavlenko, I., Zajac, J., Peraković, D. (eds) Advances in Design, Simulation and Manufacturing III. DSMIE 2020. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-50794-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-50794-7_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-50793-0

  • Online ISBN: 978-3-030-50794-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics