Skip to main content
Log in

Modeling of Assembly Deviation with Considering the Actual Working Conditions

  • Regular Paper
  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Generally, it would be more realistic to consider that the components of an assembly are flexible typically undergo some deformations. In addition, with the mobility of the parts, there is normally a wear between the contact surfaces. Ignoring the dynamic working conditions with these deformations and wear could lead to an inaccurate assembly deviation and further affect the performance, reliability and service life of products. This paper proposes modeling of assembly deviation by considering the actual working conditions to obtain the time-variant assembly gap during the service time. First, the dimensional and geometric tolerances of the parts are simulated by Monte Carlo simulation, and the assembly deviation caused by the tolerances is obtained based on modified Unified Jacobian–Torsor model. Second, the deformation of the surfaces of the parts induced by mechanical and thermal loads are calculated by finite element analysis. Third, the wear depth between the contact surfaces is derived by conducting wear tests under the simulating working condition. By integrating the deformations and wear into tolerance analysis model, the final assembly deviation is constructed by considering the actual working conditions. Finally, the proposed model is applied to the blade bearing of controllable pitch propeller (CPP) for determining the effect of the actual working conditions on its service life.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Nigam, S. D., & Turner, J. U. (1995). Review of statistical approaches to tolerance analysis. Computer-Aided Design, 27(1), 6–15.

    Article  MATH  Google Scholar 

  2. Xu, S., & Keyser, J. (2016). Statistical geometric computation on tolerances for dimensioning. Computer-Aided Design, 70, 193–201.

    Article  Google Scholar 

  3. Jin, Q., Liu, S., & Wang, P. (2015). Optimal tolerance design for products with non-normal distribution based on asymmetric quadratic quality loss. The International Journal of Advanced Manufacturing Technology, 78(1), 667–675.

    Article  Google Scholar 

  4. Wu, F., et al. (2009). Improved algorithm for tolerance allocation based on monte carlo simulation and discrete optimization. Computers & Industrial Engineering, 56(4), 1402–1413.

    Article  Google Scholar 

  5. Clément, A., et al. (1991). Theory and practice of 3-D tolerancing for assembly. In: Proceedings CIRP International Working Seminar on Computer-Aided Tolerancing, 25, 25–56.

  6. Roy, U., & Li, B. (1999). Representation and interpretation of geometric tolerances for polyhedral objects. II.: Size, orientation and position tolerances. Computer-Aided Design, 31(4), 273–285.

    Article  MATH  Google Scholar 

  7. Clement, A., & Riviere, A. (1993). Tolerancing versus nominal modeling in next generation CAD/CAM system. In Proceedings of the CIRP Seminar on Computer Aided Tolerancing (pp. 97–113).

  8. Chen, H., et al. (2015). A solution of partial parallel connections for the unified Jacobian–Torsor model. Mechanism and Machine Theory, 91, 39–49.

    Article  Google Scholar 

  9. Shen, W., et al. (2015). The quality control method for remanufacturing assembly based on the Jacobian–Torsor model. The International Journal of Advanced Manufacturing Technology, 81(1), 253–261.

    Article  Google Scholar 

  10. Desrochers, A., & Rivière, A. (1997). A matrix approach to the representation of tolerance zones and clearances. The International Journal of Advanced Manufacturing Technology, 13(9), 630–636.

    Article  Google Scholar 

  11. Polini, W., & Corrado, A. (2016). Geometric tolerance analysis through Jacobian model for rigid assemblies with translational deviations. Assembly Automation, 36(1), 72–79.

    Article  Google Scholar 

  12. Desrochers, A., Ghie, W., & Laperrière, L. (2003). Application of a unified Jacobian–Torsor model for tolerance analysis. Journal of Computing and Information Science in Engineering, 3(1), 2–14.

    Article  MATH  Google Scholar 

  13. Ghie, W., Laperriere, L., & Desrochers, A. (2003) ‘A unified Jacobian–Torsor model for analysis in computer aided tolerancing. In Recent advances in integrated design and manufacturing in mechanical engineering (63–72). Berlin: Springer

  14. Zuo, X., et al. (2013). Application of the Jacobian–Torsor theory into error propagation analysis for machining processes. The International Journal of Advanced Manufacturing Technology, 69(5–8), 1557–1568.

    Article  Google Scholar 

  15. Ghie, W., Laperrière, L., & Desrochers, A. (2010). Statistical tolerance analysis using the unified Jacobian–Torsor model. International Journal of Production Research, 48(15), 4609–4630.

    Article  MATH  Google Scholar 

  16. Jin, S., et al. (2015). A small displacement torsor model for 3D tolerance analysis of conical structures. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229(14), 2514–2523.

    Google Scholar 

  17. Chen, H., et al. (2015). A modified method of the unified Jacobian–Torsor model for tolerance analysis and allocation. International Journal of Precision Engineering and Manufacturing, 16(8), 1789–1800.

    Article  Google Scholar 

  18. Zeng, W., Rao, Y., & Wang, P. (2017). An effective strategy for improving the precision and computational efficiency of statistical tolerance optimization. The International Journal of Advanced Manufacturing Technology, 92(5), 1933–1944.

    Article  Google Scholar 

  19. Jayaprakash, G., Sivakumar, K., & Thilak, M. (2012). A numerical study on effect of temperature and inertia on tolerance design of mechanical assembly. Engineering Computations, 29(7), 722–742.

    Article  Google Scholar 

  20. Benichou, S., & Anselmetti, B. (2011). Thermal dilatation in functional tolerancing. Mechanism and Machine Theory, 46(11), 1575–1587.

    Article  Google Scholar 

  21. Pierre, L., Teissandier, D., & Nadeau, J. P. (2014). Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine. Mechanism and Machine Theory, 74, 82–101.

    Article  Google Scholar 

  22. Grandjean, J., Ledoux, Y., & Samper, S. (2013). On the role of form defects in assemblies subject to local deformations and mechanical loads. The International Journal of Advanced Manufacturing Technology, 65(9–12), 1769–1778.

    Article  Google Scholar 

  23. Yu, K. G., & Yang, Z. H. (2015). Assembly variation modeling method research of compliant automobile body sheet metal parts using the finite element method. International Journal of Automotive Technology, 16(1), 51–56.

    Article  MathSciNet  Google Scholar 

  24. Jayaprakash, G., Thilak, M., & SivaKumar, K. (2014). Optimal tolerance design for mechanical assembly considering thermal impact. The International Journal of Advanced Manufacturing Technology, 73(5), 859–873.

    Article  Google Scholar 

  25. Mazur, M., Leary, M., & Subic, A. (2011). Computer aided tolerancing (Cat) platform for the design of assemblies under external and internal forces. Computer-Aided Design, 43(6), 707–719.

    Article  Google Scholar 

  26. Mazur, M., Leary, M., & Subic, A. (2015). Application of Polynomial Chaos Expansion to Tolerance Analysis and Synthesis in Compliant Assemblies Subject to Loading. Journal of Mechanical Design, 137(3), 031701-031701-16.

    Article  Google Scholar 

  27. Walter, M. S. J., Spruegel, T. C., & Wartzack, S. (2015). Least cost tolerance allocation for systems with time-variant deviations. Procedia CIRP, 27, 1–9.

    Article  Google Scholar 

  28. Carlton, J. (2012). Marine propellers and propulsion. Oxford: Butterworth-Heinemann.

    Google Scholar 

  29. Godjevac, M., et al. (2009). Prediction of fretting motion in a controllable pitch propeller during service. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 223(4), 541–560.

    Google Scholar 

  30. Tarbiat, S., Ghassemi, H., & Fadavie, M. (2014). Numerical prediction of hydromechanical behaviour of controllable pitch propeller. International Journal of Rotating Machinery, 2014, 22–28.

    Article  Google Scholar 

  31. Martelli, M., et al. (2014). Controllable pitch propeller actuating mechanism, modelling and simulation. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 228(1), 29–43.

    Google Scholar 

  32. Wenhui, Z., et al. (2017). Prediction of service life for assembly with time-variant deviation. IOP Conference Series: Materials Science and Engineering, 212(1), 012021.

    Google Scholar 

  33. Godjevac, M. (2010). Wear and friction in a controllable pitch propeller. TU Delft: Delft University of Technology.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wenhui Zeng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zeng, W., Rao, Y. Modeling of Assembly Deviation with Considering the Actual Working Conditions. Int. J. Precis. Eng. Manuf. 20, 791–803 (2019). https://doi.org/10.1007/s12541-019-00014-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-019-00014-2

Keywords

Navigation