The Virtual Constraint Model and its Application to Tolerance Analysis

Abstract:

The geometrical element chain method (GECM) is a tolerance analysis approach based on parametrical driving theory, with the principle of functional dimension driving being its key theore-tical basis. Currently, the functional dimension driving theory cannot cover the implicit constraints and the geometrical constraints in the 3D models, thus the application of GECM has been limited. To solve this problem, this paper presented the concept of virtual constraint model (VCM) of the pro-ducts 3D models, and constructed the algorithm of tolerance analysis oriented to VCMs to extend the application scope of GECM. Firstly, the mapping matrix between functional dimension set and the modeling parameter set was constructed, and a necessary and sufficient condition of the existence of the mapping relation was given. Secondly, the concept of VCM was put forward, and the tolerance analysis algorithm of the VCM was constructed. Finally, an example was given to illustrate the validity and effectiveness of the approach in this paper.

• Periodical: Applied Mechanics and Materials (Volumes 321-324)
• Pages: 925-932
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.321-324.925
• Online since: June 2013
• Authors: Wang Bo, Guo Lei Zheng, Li Hua Duan
• Keywords: Equivalent Conversion, Micro-Variation, Tolerance Analysis, Virtual Constraint Model

References

[1] H. Wang, RX Ning: Submitted to The International Journal of Advanced Manufacturing Technology(2006).

[2] H. Wang, J Yang: Submitted to International Journal of Computer Integrated Manufacturing (2009).

[3] R. Chavanne, B. Anselmetti: Submitted to Computers in industry(2012).

[4] B. Ayadi, Anselmetti B: Submitted to The International Journal of Advanced Manufacturing Technology(2008).

[5] XT Zhang, WJ Liu, Submitted to Machine Design and Research (2004). (In Chinese)

[6] XS Xu, JX Yang, Submitted to Journal Of Zhejiang University(2008). (In Chinese)

[7] HJ Zhao, GL Zheng, Submitted to Journal Of Computer Aided Design&Computer Graphics(2008).(In Chinese)

[8] HY Zheng, Geolei Zheng, Submitted to Journal Of Beijing Unversity of Aeronautics &Astro- nautics(2012). (In Chinese)