Skip to main content
Log in

Tolerance analysis and allocation of special machine tool for manufacturing globoidal cams

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

In order to produce a special machine tool for manufacturing high-quality globoidal cams, this paper presents a systematic approach for tolerance analysis and tolerance allocation for the special machine tool. Based on the differential geometry and conjugate theory, the machined surface and the surface deviation of a globoidal cam are derived with the help of a VS software. The sensitivity model and the worst-case method are applied to analyze the effects of machine tool errors on the machined surface deviation. Manufacture easiness index which can evaluate the level of manufacture difficulty and can also indirectly imply manufacture cost is proposed. Then, the optimization problems are formulated to the maximize manufacture easiness index subject to quality target of cam surface and manufacture constraints. The optimization results are obtained by using MATLAB implementation of linear programming. To confirm the optimization results, they are applied as a guideline to design and manufacture this special machine tool. After that, a globoidal cam is manufactured on this machine tool and measured on a coordinate measuring machine (CMM). The measuring results demonstrate the effectiveness of the proposed approach.

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.

Similar content being viewed by others

References

  1. Yan HS, Chen HH (1996) Geometry design of globoidal cams with generalized meshing turret-rollers. ASME J Mech Des 118:243–249

    Article  Google Scholar 

  2. Backhouse CJ, Jones JR (1990) Envelope theory applied to globoidal cam surface geometry. Proc Inst Mech Eng Part C-J Eng Mech Eng Sci 204:409–416

    Article  Google Scholar 

  3. Ji S, Zhao J, Zhang Y (2015) An application of geodesics to the calculation of the rib-thickness of globoidal cam mechanisms. Mech Mach Theory 87:163–176

    Article  Google Scholar 

  4. Tsay DM, Ho HC (2001) Consideration of manufacturing parameters in the design of grooved globoidal cam indexing mechanisms. Proc Inst Mech Eng Part C–J Eng Mech Eng Sci 215:95–103

    Article  Google Scholar 

  5. Cheng HY (2002) Optimum tolerances for globoidal cam mechanisms. JSME Int J Ser C Mech Syst Mach Elem Manuf 45(2):519–526

    Article  Google Scholar 

  6. Wang WH, Tseng CH, Tsay CB (1999) On the optimization of spatial cam mechanisms considering mechanical errors. Int J Model Simul 19(1):94–100

    Google Scholar 

  7. Chang WT, Wu L (2013) Tolerance analysis and synthesis of cam-modulated linkages. Math Comput Model 57(3–4):641–660

    Article  MathSciNet  MATH  Google Scholar 

  8. Geetha K, Ravindran D, Siva Kumar M, Islam MN (2015) Concurrent tolerance allocation and scheduling for complex assemblies. Robot Comput-Integr Manuf 35:84–95

    Article  Google Scholar 

  9. Hsueh CC, Lin PD, Sasian J (2010) Worst-case-based methodology for tolerance analysis and tolerance allocation of optical systems. Appl Opt 49(31):6179–6188

    Article  Google Scholar 

  10. Mansuy M, Giordano M, Hernandez P (2011) A new calculation method for the worst case tolerance analysis and synthesis in stack-type assemblies. Comput Aided Des 43:1118–1125

    Article  Google Scholar 

  11. Zhu H, Zhou X, Li H (2015) A novel tolerance analysis for mechanical assemblies based on Convex Method and non-probabilistic set theory. Int J Adv Manuf Technol. doi:10.1007/s00170-015-7634-9

    Google Scholar 

  12. Schleich B, Wartzack S (2015) Evaluation of geometric tolerances and generation of variational part representatives for tolerance analysis. Int J Adv Manuf Technol 79:959–983

    Article  Google Scholar 

  13. Creveling CM (1997) Tolerance design: a handbook for developing optimal specifications. Addison-Wesley, Boston, pp 124–148

    Google Scholar 

  14. Gaurav A (2006) Statistical tolerance analysis and allocation for assemblies using tolerance-maps. Dissertation, Arizona State University

  15. Chase KM (1991) A survey of research in the application of tolerance analysis to the design of mechanical assemblies. Res Eng Des 3:23–37

    Article  Google Scholar 

  16. Nigam SD, Turner JU (1995) Review of statistical approaches to tolerance analysis. Comput Aided Des 27:6–15

    Article  MATH  Google Scholar 

  17. Hong YS, Chang TC (2002) A comprehensive review of tolerancing research. Int J Prod Res 40(11):2425–2459

    Article  MATH  Google Scholar 

  18. Singh PK, Jain PK, Jain SC (2009) Important issues in tolerance design of mechanical assemblies. Part 1: tolerance analysis. Proc Inst Mech Eng Part B-J Eng Manuf 223:1225–1247

    Article  Google Scholar 

  19. Govindaluri MS, Shin S, Cho BR (2004) Tolerance optimization using the Lambert W function: an empirical approach. Int J Prod Res 42(16):3235–3251

    Article  MATH  Google Scholar 

  20. Spotts MF (1973) Allocation of tolerances to minimize cost of assembly. ASME J Eng Ind 95:762–764

    Article  Google Scholar 

  21. AL-Ansary MD, Deiab IM (1997) Concurrent optimization of design and machining tolerances using the genetic algorithms method. Int J Mach Tools Manuf 37(12):1721–1731

    Article  Google Scholar 

  22. Lee WJ, Woo TC, Chou SY (1993) Tolerance synthesis for nonlinear systems based on nonlinear programming. IIE Trans 25(1):51–61

    Article  Google Scholar 

  23. Sfantsikopoulos MM (1990) A cost-tolerance analytical approach for design and manufacturing. Int J Adv Manuf Technol 5:126–134

    Article  Google Scholar 

  24. Yeo SH, Ngoi BKA, Poh LS, Hang C (1997) Cost-tolerance relationships for non-traditional machining processes. Int J Adv Manuf Technol 13:35–41

    Article  Google Scholar 

  25. Zhang C, Wang HP (1998) Robust design of assembly and machining tolerance allocations. IIE Trans 30:17–29

    Article  Google Scholar 

  26. Singh PK, Jain PK, Jain SC (2009) Important issues in tolerance design of mechanical assemblies. Part 2: tolerance synthesis. Proc Inst Mech Eng Part B-J Eng Manuf 223:1249–1287

    Article  Google Scholar 

  27. Wang Y, Zhai WJ, Yang LP, Wu WG, Ji SP, Ma YL (2007) Study on the tolerance allocation optimization by fuzzy-set weight-center evaluation method. Int J Adv Manuf Technol 33:317–322

    Article  Google Scholar 

  28. Li Z, Kokkolaras M, Papalambros P, Hu SJ (2008) Product and process tolerance allocation in multistation compliant assembly using analytical target cascading. ASME J Mech Des 130:091701-1–091701-9

    Google Scholar 

  29. Prabhaharan G, Asokan P, Ramesh P, Rajendran S (2004) Genetic-algorithm-based optimal tolerance allocation using a least-cost model. Int J Adv Manuf Technol 24:647–660

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shuting Ji.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Y., Ji, S., Zhao, J. et al. Tolerance analysis and allocation of special machine tool for manufacturing globoidal cams. Int J Adv Manuf Technol 87, 1597–1607 (2016). https://doi.org/10.1007/s00170-016-8558-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-016-8558-8

Keywords

Navigation