Coaxiality evaluation based on double material condition

Abstract To ensure the assemblability of a workpiece, Coaxiality-DM can be applied to two coaxiality cylinders. According to this specification, the relative orientation and location between an actual datum feature and the derived datum axis are variable. Thus, the Coaxiality-DM tolerance is mainly verified by real gauges, which is costly for small batch production. To develop a proper tool for that production, a evaluation model for Coaxiality-DM tolerance was investigated in this paper. According to the International Organization for Standardization (ISO), the geometry of the real gauge was analyzed, and a virtual gauge model was established. Based on the model, an evaluation method was proposed. Furthermore, an example of a stepped shaft was provided to illustrate the applicability of the proposed method. Finally, a comparative experiment was carried out, and the results revealed that the proposed model could produce more accurate results than the existing mathematical methods.

[1]  Serge Samper,et al.  Tolerance Analysis and Synthesis by Means of Deviation Domains, Axi-Symmetric Cases , 2007 .

[2]  Serge Samper,et al.  Tolerance Analysis and Synthesis by Means , 2007 .

[3]  Igor Drstvenšek,et al.  Reverse Engineering of Parts with Optical Scanning and Additive Manufacturing , 2014 .

[4]  Sandro Wartzack,et al.  From solid modelling to skin model shapes: Shifting paradigms in computer-aided tolerancing , 2014 .

[5]  Joseph K. Davidson.  Models for Computer Aided Tolerancing in Design and Manufacturing , 2006 .

[6]  Guanghua Xu,et al.  Least squares evaluations for form and profile errors of ellipse using coordinate data , 2016 .

[7]  Long Jin,et al.  Roundness Error Evaluation Based on Differential Evolution Algorithm , 2014 .

[8]  Peng Zheng,et al.  Research of the On-Line Evaluating the Cylindricity Error Technology Based on the New Generation of GPS , 2017 .

[9]  Bernard Anselmetti,et al.  Complementary Writing of Maximum and Least Material Requirements, with an Extension to Complex Surfaces , 2016 .

[10]  Milan Delić,et al.  Evaluating minimum zone flatness error using new method—Bundle of plains through one point , 2016 .

[11]  Vimal Kumar Pathak,et al.  Evaluating Geometric Characteristics of Planar Surfaces using Improved Particle Swarm Optimization , 2017 .

[12]  Rosario Domingo,et al.  Vectorial method of minimum zone tolerance for flatness, straightness, and their uncertainty estimation , 2014 .

[13]  Qing Zhang,et al.  Minimum zone evaluation of sphericity deviation based on the intersecting chord method in Cartesian coordinate system , 2016 .

[14]  Joseph K. Davidson,et al.  Using tolerance maps to validate machining tolerances for transfer of cylindrical datum in manufacturing process , 2014 .

[15]  Cao Zhimin,et al.  Roundness deviation evaluation method based on statistical analysis of local least square circles , 2017 .

[16]  G. He,et al.  Profile error evaluation of free-form surface using sequential quadratic programming algorithm , 2017 .

[17]  Peng Li,et al.  A hybrid method based on reduced constraint region and convex-hull edge for flatness error evaluation , 2016 .