Towards a tolerance representation model for generating tolerance specification schemes and corresponding tolerance zones

In this paper, a tolerance representation model for generating tolerance specification schemes and corresponding tolerance zones is proposed to meet the requirement of the representation of tolerance information semantics. This model is hierarchically organized and consists of five layers. They are component, geometric feature, variational geometric constraint, tolerance specification scheme, and tolerance zone layers. The mating relations between components in the component layer, the mating relations between geometric features in the geometric feature layer, the variational geometric constraints between geometric features in the variational geometric constraint layer, the tolerance specification schemes of component in the tolerance specification scheme layer, and the tolerance zones of tolerance specification schemes in the tolerance zone layer are formally defined by one or more adjacency matrices, respectively. Based on the model, a method for generating tolerance specification schemes for component and their resultant tolerance zones is designed. This method shows how to adopt a top-down strategy to carry out tolerance specification for an arbitrary assembly designed in a CAD system. The paper also provides a practical example to illustrate how the method works.

[1]  Sudarsan Rachuri,et al.  An ontology for assembly representation , 2007 .

[2]  Xiaojun Liu,et al.  A review of representation models of tolerance information , 2018 .

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

[4]  Guangleng Xiong,et al.  A variational geometric constraints network for a tolerance types specification , 2004 .

[5]  Alex Ballu,et al.  Choice of functional specifications using graphs within the framework of education , 1999 .

[6]  Sudarsan Rachuri,et al.  Object-Oriented Representation of Electro-Mechanical Assemblies Using UML , 2004 .

[7]  Yi Zhang,et al.  New reasoning algorithm for assembly tolerance specifications and corresponding tolerance zone types , 2011, Comput. Aided Des..

[8]  Pasquale Franciosa,et al.  Variational modeling and assembly constraints in tolerance analysis of rigid part assemblies: planar and cylindrical features , 2010 .

[9]  Paul J. Scott,et al.  Knowledge modeling for specifications and verification in areal surface texture , 2012 .

[10]  Liang Chang,et al.  Constructing a meta-model for assembly tolerance types with a description logic based approach , 2014, Comput. Aided Des..

[11]  Vijay Srinivasan A geometrical product specification language based on a classification of symmetry groups , 1999, Comput. Aided Des..

[12]  Zhijie Xu,et al.  University of Huddersfield Repository Developing a Knowledge-based System for Complex Geometrical Product Specification (gps) Data Manipulation. Original Citation (2010) Developing a Knowledge-based System for Complex Geometrical Product Specification (gps) Data Manipulation. Knowledge University of , 2022 .

[13]  Joseph K. Davidson,et al.  Application of T-Maps for Composite Position Tolerance for Patterns of Features , 2017 .

[14]  Bernard Anselmetti Generation of functional tolerancing based on positioning features , 2006, Comput. Aided Des..

[15]  Ram D. Sriram,et al.  Functional Tolerancing of a Gearbox , 2003 .

[16]  Philippe Serré,et al.  The TTRSs : 13 Constraints for Dimensioning and Tolerancing , 1998 .

[17]  Yi Zhang,et al.  A new method for automatic synthesis of tolerances for complex assemblies based on polychromatic sets , 2011, Enterp. Inf. Syst..

[18]  Kwamiwi Mawussi,et al.  Computer Aided Tolerancing Using Positioning Features , 2003, J. Comput. Inf. Sci. Eng..

[19]  Pasquale Franciosa,et al.  3D tolerance specification: an approach for the analysis of the global consistency based on graphs , 2010 .

[20]  Trichy M. Kethara Pasupathy,et al.  A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones , 2003, J. Comput. Inf. Sci. Eng..

[21]  Paul J. Scott,et al.  Design and implementation of an integrated surface texture information system for design, manufacture and measurement , 2014, Comput. Aided Des..

[22]  Jean-Yves Dantan,et al.  Formal Language for GeoSpelling , 2015, J. Comput. Inf. Sci. Eng..

[23]  Jean-Yves Dantan,et al.  Geometrical product specifications - model for product life cycle , 2008, Comput. Aided Des..

[24]  Xiaojun Liu,et al.  Description logic-based automatic generation of geometric tolerance zones , 2015 .

[25]  Joseph K. Davidson,et al.  Toward Automatic Tolerancing of Mechanical Assemblies: First-Order GD&T Schema Development and Tolerance Allocation , 2015, J. Comput. Inf. Sci. Eng..

[26]  Roland Maranzana,et al.  Constrained dimensioning and tolerancing assistance for mechanisms , 1996 .

[27]  Yusheng Liu,et al.  An Efficient Approach to Interpreting Rigorous Tolerance Semantics for Complicated Tolerance Specification , 2009, IEEE Transactions on Automation Science and Engineering.

[28]  Joshua U. Turner,et al.  Representational primitives for geometric tolerancing , 1993, Comput. Aided Des..

[29]  Liping Zhou,et al.  Enriching the semantics of variational geometric constraint data with ontology , 2015, Comput. Aided Des..

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

[31]  Jean-Yves Dantan,et al.  Language of Tolerancing: GeoSpelling , 2013 .

[32]  Paul J. Scott,et al.  Modeling the integration between specifications and verification for cylindricity based on category theory , 2010 .

[33]  Utpal Roy,et al.  Representation and interpretation of geometric tolerances for polyhedral objects - I. Form tolerances , 1998, Comput. Aided Des..

[34]  Joseph K. Davidson,et al.  Tolerance-Maps Applied to a Point-Line Cluster of Features , 2005, DAC 2005.

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

[36]  Antonio Armillotta,et al.  A method for computer-aided specification of geometric tolerances , 2013, Comput. Aided Des..

[37]  Pasquale Franciosa,et al.  Automatic evaluation of variational parameters for tolerance analysis of rigid parts based on graphs , 2013 .

[38]  Paul J. Scott,et al.  The structure of surface texture knowledge , 2005 .

[39]  Trichy M. Kethara Pasupathy,et al.  Modeling and representation of geometric tolerances information in integrated measurement processes , 2006, Comput. Ind..

[40]  Liping Zhou,et al.  University of Huddersfield Repository Ontology-based semantic interpretation of cylindricity specification in the next-generation GPS Ontology-based semantic interpretation of cylindricity specification in the next-generation GPS , 2015 .

[41]  Yanru Zhong,et al.  Automatically generating assembly tolerance types with an ontology-based approach , 2013, Comput. Aided Des..

[42]  Utpal Roy,et al.  Representation and interpretation of geometric tolerances for polyhedral objects. II.: Size, orientation and position tolerances , 1999, Comput. Aided Des..

[43]  Xiaojun Liu,et al.  Towards an ontology-supported case-based reasoning approach for computer-aided tolerance specification , 2018, Knowl. Based Syst..

[44]  Jami J. Shah,et al.  Dimension and tolerance modeling and transformations in feature based design and manufacturing , 1998, J. Intell. Manuf..

[45]  Yanlong Cao,et al.  Study on functional specification scheme on interface based on positioning features , 2013 .

[46]  Joseph K. Davidson,et al.  Computer Modeling of Geometric Variations in Mechanical Parts and Assemblies , 2003, J. Comput. Inf. Sci. Eng..

[47]  Paul J. Scott,et al.  Explicitly representing the semantics of composite positional tolerance for patterns of holes , 2017 .

[48]  Ting Liu,et al.  The Strategy of Datum Reference Frame Selection Based on Statistical Learning , 2018, J. Comput. Inf. Sci. Eng..

[49]  Meifa Huang,et al.  An assembly tolerance representation model based on spatial relations for generating assembly tolerance types , 2014 .

[50]  Xiaojun Liu,et al.  Status, Comparison, and Issues of Computer-Aided Design Model Data Exchange Methods Based on Standardized Neutral Files and Web Ontology Language File , 2017, J. Comput. Inf. Sci. Eng..