Study of 3D Tolerance Modeling Method for Complex Feature Geometric Variations

Abstract:

Article Preview

The aim of this paper is to present a 3D tolerance mathematical model for complex feature geometric variations oriented the new generation Geometrical Product Specifications (GPS). According to the definition of geometric feature and taxonomy of geometric variations in the new generation GPS system, the proposed model is based on the small displacements torsor (SDT) concept, and the geometric deviations treated as relative location or rotation variations between the nominal geometry feature and the associated feature are expressed by the SDT parameters. Moreover, the tolerance models for several kinds of complex feature geometric variations are constructed and discussed. Finally, a numerical example is given to illustrate the application of the proposed tolerance model, and the results indicate that the proposed model is capable in dimensional and geometrical tolerances modeling. The model completely based on the mathematics foundation is in compliance with the current GPS standards system.

Info:

Periodical:

Edited by:

Prof. Jong Wan Hu

Pages:

567-573

Citation:

H. P. Peng and W. L. Lu, "Study of 3D Tolerance Modeling Method for Complex Feature Geometric Variations", Applied Mechanics and Materials, Vol. 851, pp. 567-573, 2016

Online since:

August 2016

Export:

Price:

$38.00

* - Corresponding Author

[1] L. Ma, X. Jiang, J. Wang, et al., Study on the expression specifications of geometrical products for function, design, manufacture and verification based on the improved GPS language, Int. J. Adv. Manuf. Technol. 32 (2007) 990-998.

DOI: https://doi.org/10.1007/s00170-005-0395-0

[2] Y. Cao, H. Zhang, J. Mao, et al., Study on tolerance modeling of complex surface, Int. J. Adv. Manuf. Technol. 53 (2011) 1183-1188.

[3] H. Chen, S. Jin, Z. Li, X. Lai, A comprehensive study of three dimensional tolerance analysis methods, Comput. Aid. Des. 53(8) (2014) 1-13.

[4] P. Bourdet, L. Mathieu, C. Lartigue, A. Ballu, The concept of the small displacements torsor in metrology, Ser. Adv. Math. Appl. Sci. 40 (1996) 110-122.

[5] D. Teissandier, Y. Couétard, A. Gérard, A computer aided tolerancing model: proportioned assembly clearance volume, Comput. Aid. Des. 31 (1999) 805-817.

DOI: https://doi.org/10.1016/s0010-4485(99)00055-x

[6] A. Desrochers, W. Ghie, L. Laperrière, Application of a unified Jacobian-torsor model for tolerance analysis, J. Comput. Inform. Sci. Eng. 3(1) (2003) 2-14.

DOI: https://doi.org/10.1115/1.1573235

[7] S. Khodaygan, M. R. Movahhedy, M. S. Fomani, Tolerance analysis of mechanical assemblies based on modal interval and small degrees of freedom (MI-SDOF) concepts, Int. J. Adv. Manuf. Technol. 50 (2010) 1041-1061.

DOI: https://doi.org/10.1007/s00170-010-2568-8