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Study on tolerance modeling of complex surface

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Abstract

The aim of this paper was to present a tolerance modeling method of complex features. Geometric deviation of a characteristic/feature is divided into intrinsic deviation and situation deviation based on the new generation geometrical product specification in the paper. On the basis of vector parametric representation of theoretical surface, intrinsic deviation between substitute surface and ideal surface is described by vector function. Based on 3D rigid body kinematics, homogeneous transformation matrix-based method is used to describe the situation deviation of the substitute surface relative to the reference feature in Euclidean space. An example was given using the proposed modeling method.

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References

  1. Bjorke O (1989) Computer aided tolerancing, 2nd edn. ASME, New York

    Google Scholar 

  2. Zhao X, Pasupathy TMK, Wilhelm RG (2006) Modeling and representation of geometric tolerances information in integrated measurement process. Comput Ind 57:319–330

    Google Scholar 

  3. Clement A, Desrochers A, Riviere A (1991) Theory and practice of 3D tolerancing for assembly. Proceedings of the 2nd CIRP seminar on computer aided tolerancing

  4. Liu YS, Gao SM (2004) Variational geometry based tolerance pre-evaluation for pattern of holes. Int J Prod Res 36:1659–1676

    Google Scholar 

  5. Requicha AG (1983) Toward a theory of geometric tolerancing. Int J Rob Res 2:45–60

    Article  Google Scholar 

  6. Requicha AG (1986) Representation of geometric features, tolerances and attributes in solid modelers based on constructive solid geometry. IEEE J Robot Autom 3:156–166

    Article  Google Scholar 

  7. Requicha AG (1993) Mathematical definitions of tolerance specifications. Manuf Rev 6(4):269–274

    Google Scholar 

  8. Roy U, Liu R (1988) Feature-based representational scheme of a solid modular for providing dimensioning and tolerancing information. Rob Comput Integr Manuf 4:335–345

    Article  Google Scholar 

  9. Jayaraman R, Srinivasan V (1989) Geometric tolerancing II: conditional tolerance. IBM J Res Dev 33:105–122

    Article  MathSciNet  MATH  Google Scholar 

  10. Jayaraman R, Srinivasan V (1989) Geometric tolerancing: I. Virtural boundary requirement. IBM J Res Dev 33:90–104

    Article  MathSciNet  MATH  Google Scholar 

  11. Hillyard RC, Braid IC (1978) Characterizing non-ideal shapes in terms of dimensions and tolerances. Comput Graph 12:234–238

    Article  Google Scholar 

  12. Light R, Gossard D (1984) Modification of geometric models through variational geometry. CAD 14:209–214

    Google Scholar 

  13. Turner JU, Wozny MJ (1988) A mathematical theory of tolerances. In: Wozny MJ, McLaughlin HW, Encarnacao JL (eds) Geometric modeling for CAD applications. IFIP, North Holland

    Google Scholar 

  14. Turner JU, Wozny MJ (1990) The M-space theory of tolerances. Adv Des Autom 1:217–225

    Google Scholar 

  15. Clement A, Desrochers A, Riviere A (1991) Theory and practice of 3D tolerancing for assembly. Proceedings of the 2nd CIRP Seminars on Computer Aided Tolerancing, pp 1–8

  16. Chase K, Gao J, Magelby S (1998) Including geometric feature variation in tolerance analysis of mechanical assemblies. IIE Trans 28:795–807

    Google Scholar 

  17. Shah JJ, Yan Y, Zhang BC (1998) Dimension and tolerance modeling and transformations in feature based design and manufacturing. J Intell Manuf 9:475–488

    Article  Google Scholar 

  18. Bhide S, Davidson JK, Shah JJ (2001) Areal coordinates: the basis of a mathematical model for geometric tolerances. Proceedings of the 7th CIRP International Working Seminar on Computer Aided Tolerancing

  19. Ameta G, Davidson JK, Shah JJ (2007) Tolerance-maps applied to a point-line cluster of features. Trans Am Soc Mech Eng 129(8):782–792

    Google Scholar 

  20. Roy U, Li B (1998) Representation and interpretation of geometric tolerances for polyhedral objects—I. Form tolerances. Comput Aided Des 30:151–161

    Article  Google Scholar 

  21. Asante JN (2009) A small displacement torsor model for tolerance analysis in a workpiece–fixture assembly. Proc Inst Mech Eng B J Eng Manuf 233(8):1005–1020

    Article  Google Scholar 

  22. Zhang KF, Li Y, Cheng H (2009) Modeling and analyzing approach of self-adaptively matching tolerance and performance. Comput Integr Manuf Syst CIMS 15(10):1956–1959 + 1978

    Google Scholar 

  23. Merkley K (1998) Tolerance analysis of compliant assemblies. PhD Dissertation, Brigham Young University, Utah

  24. Qu JP (2001) Research and implement of practicable surfaces intersection algorithm. Master Dissertation, Beijing Industrial University, Beijing

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Correspondence to Yanlong Cao.

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Cao, Y., Zhang, H., Mao, J. et al. Study on tolerance modeling of complex surface. Int J Adv Manuf Technol 53, 1183–1188 (2011). https://doi.org/10.1007/s00170-010-2892-z

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  • DOI: https://doi.org/10.1007/s00170-010-2892-z

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