Using tolerance maps to validate machining tolerances for transfer of cylindrical datum in manufacturing process

Process planers typically utilize different datum features than designers use when specifying tolerances. Datum features used in process plans are chosen to simplify setups and achieve desired geometric accuracy. Meanwhile, proper machining tolerances are required to be reassigned to satisfy design requirements. However, existing methods to transfer geometric tolerances directly and accurately are still missing due to incompatible mathematical models of tolerances. Also, the affection of material conditions on datum and partial constraint situations have not been deeply considered yet. Since cylindrical features are often used as datum features, this paper describes the use of tolerance maps (T-Maps) (patent no. 6963824) and manufacturing maps (M-maps) to establish analytical relationship among all relevant design and machining tolerances for transfer of cylindrical datum. Firstly, a parametric model of datum transfer is proposed to describe factors involving the process. Next, based on spatial and geometric parameters, as well as tolerances information, variation analysis among features is implemented to formulate transformed T-Maps, sum of which constructs M-Map. Then, distinct bounding boxes of cross-sections in M-Map are extracted through computing vertex coordinates of their boundaries due to complete and partial constraint scenarios. Thereafter, by virtue of bounding boxes, relationship among design and machining tolerances are obtained through fitting M-Maps into T-Maps. Finally, an example is introduced to verify feasibility of the proposed model and method.

[1]  Zhihua Zou,et al.  Applications of the GapSpace Model for Multidimensional Mechanical Assemblies , 2003, J. Comput. Inf. Sci. Eng..

[2]  G. Zhang Simultaneous tolerancing for design and manufacturing , 1996 .

[3]  H.J.J. Kals,et al.  Global consistency of tolerances , 1999 .

[4]  Alain Desrochers,et al.  A CAD/CAM representation model applied to tolerance transfer methods , 2003 .

[5]  M. F. Spotts Allocation of Tolerances to Minimize Cost of Assembly , 1973 .

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

[7]  Pierre Bourdet,et al.  A Study of Optimal-Criteria Identification Based on the Small-Displacement Screw Model , 1988 .

[8]  David J. Williams,et al.  THE ASSEMBLY PROCESS FOR ANISOTROPIC CONDUCTIVE JOINTS — SOME NEW EXPERIMENTAL AND THEORETICAL RESULTS , 1995 .

[9]  Joseph K. Davidson,et al.  Analysis neutral data structure for GD&T , 2008, J. Intell. Manuf..

[10]  Yuan Li,et al.  An integrated modeling method of unified tolerance representation for mechanical product , 2010 .

[11]  Mohamed Haddar,et al.  Three-dimensional modelling of geometric defaults to optimize a manufactured part setting , 2006 .

[12]  Jhy-Cherng Tsai,et al.  Representation and reasoning of geometric tolerances in design , 1997, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[13]  M. Haddar,et al.  Dimensioning of the intermediate states of the machined phases “DISMP” approach , 2009 .

[14]  Kenneth W. Chase,et al.  A SECOND-ORDER METHOD FOR ASSEMBLY TOLERANCE ANALYSIS , 1999 .

[15]  F. H. Speckhart,et al.  Calculation of Tolerance Based on a Minimum Cost Approach , 1972 .

[16]  J. Shah,et al.  Tolerance-Maps Applied to the Straightness and Orientation of an Axis , 2007 .

[17]  Joseph K. Davidson,et al.  Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies , 2007, J. Comput. Inf. Sci. Eng..

[18]  Jami J. Shah,et al.  Attributed graph model for geometric tolerancing , 1992, DAC 1992.

[19]  G. Thimm,et al.  Redimensioning parts for manufacturability: a design rewriting system , 2005 .

[20]  Qiang Huang,et al.  State space modeling of dimensional variation propagation in multistage machining process using differential motion vectors , 2003, IEEE Trans. Robotics Autom..

[21]  Bernard Anselmetti ISO manufacturing tolerancing: three-dimensional transfer with analysis line method , 2012 .

[22]  B. J. Davies,et al.  Computer aided dimensional planning , 1988 .

[23]  Caux Mickaël,et al.  3D ISO manufacturing specifications with vectorial representation of tolerance zones , 2012 .

[24]  A. Clément,et al.  A dimensioning and tolerancing assistance model for CAD/CAM systems , 1994 .

[25]  Ping Ji,et al.  A Digraphic Approach for Dimensional Chain Identification in Design and Manufacturing , 1996 .

[26]  M. Giordano,et al.  Mathematical representation of Tolerance Zones , 1999 .

[27]  Kwet Tang Economic design of product specifications for a complete inspection plan , 1988 .

[28]  Joseph K. Davidson,et al.  A New Mathematical Model for Geometric Tolerances as Applied to Round Faces , 2002 .

[29]  Spencer P. Magleby,et al.  Generalized 3-D tolerance analysis of mechanical assemblies with small kinematic adjustments , 1998 .

[30]  Joseph K. Davidson,et al.  Preliminary Investigation on Generating an Explicit GD&T Scheme From a Process Plan , 2013 .