Parametric Representation for Geometry Variation in Digital Mechanical System

Article Preview

Abstract:

Ideal geometry is mainly represented by several parameters in traditional CAD system. Based on these parameters, ideal geometry can be dynamically constructed to build the entire CAD entity; however, the modeling of variated geometry by parameters is not included, and parametric representation for variated geometry is introduced in this paper; sets of parameters for different types of geometry variation are discussed. Based on parametric representation for variated geometry, the translation and orientation error of part that affected by the variation of geometry is calculated, the process for converting geometry error to parametric part location error is introduced.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

507-512

Citation:

Online since:

October 2014

Export:

Price:

[1] Chen H, Jin S, Li Z. M, Lai X.M. A comprehensive study of three dimensional tolerance analysis methods [J], Computer-Aided Design 53(2014)1-13.

DOI: 10.1016/j.cad.2014.02.014

Google Scholar

[2] Ameta G, Davidson J. K, Shah J.J. Form tolerance on the frequency distributions of clearance between two planar faces. ASME Journal of Computer Information Science and Engineering, 2011, 11: 011002-1-10.

DOI: 10.1115/1.3503881

Google Scholar

[3] Laperrière L, Desrochers A. Modeling assembly quality requirements using Jacobian or screw transforms: a comparison [C]. Proceedings of the 4th IEEE international symposium on assembly and task planning, Soft Research Park. May 2011, pp.330-6.

DOI: 10.1109/isatp.2001.929044

Google Scholar

[4] Marziale M, Polini W. A review of two models for tolerance analysis of an assembly: Jacobian and Torsor [J]. International Journal of Computer Integrated Manufacturing, 2011, 24(1): 74–86.

DOI: 10.1080/0951192x.2010.531286

Google Scholar

[5] Ghie W, Laperrière L, Desrochers A. Statistical tolerance analysis using the unified Jacobian-Torsor model [J]. International Journal of Production Research 2010, 48(15): 4609-30.

DOI: 10.1080/00207540902824982

Google Scholar

[6] Benjamin S, Sandro W. A discrete geometry approach for tolerance analysis of mechanism [J]. Mechanism and Machine Theory 77(2014)148-163.

DOI: 10.1016/j.mechmachtheory.2014.02.013

Google Scholar

[7] Schleich b, Anwer N, Mathieu L. M, Wartzack S. Skin Model Shapes: a new paradigm shift for geometric variations modeling in mechanical engineering [J], Computer Aided Design. 2014, 50: p.1–15.

DOI: 10.1016/j.cad.2014.01.001

Google Scholar

[8] ASME Y14. 5-2009 dimensioning and tolerancing [S]. New York: ASME, (2009).

Google Scholar