Semantic Representation of Flatness Based on ALC(R) and Mathematical Definition

Author:

Xie Yun Feng1,Du Yu Lu,Zhong Yan Ru2,Qin Yu Chu2

Affiliation:

1. Guilin University of Aerospace Technology

2. Guilin University of Electronic Technology

Abstract

The information of form tolerances in existing 3D CAD systems is just a kind of symbol and text which is lack of engineering semantic at present. Therefore, a reasonable explanation and Semantic representation of form tolerances has very important significance. In order to reduce the uncertainty and support the semantic interoperability in tolerance specification design, an approach for mathematical representation of flatness based on the Small Displacement Torsor (SDT) is proposed. Based on this, a representation of flatness using description logical language ALC(R) with concrete domain is proposed. Then flatness information is formalized using OWL, an ontology representation language devised by W3C, to be shared and interoperated between heterogeneous systems by building OWL ontology. At last, there is a practical example to verify the feasibility of this approach.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference7 articles.

1. T. M. Kethara Pasupathy, E. P. Morse and R. G. Wilhelm, A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones, Journal of Computing and Information Science in Engineering, 3 (1992) 64-74.

2. Bourdet, Mathew, et al, The concept of small displacement torsors in metrology, Advanced Mathmatical Tools in Metrology in Series on advances in mathematics for applied science, World Scientific, 1996, vol. 40.

3. Schmidt-SchauB, Smolka G. Attributive concept descriptions with complements. Artificial Intelligence 1991; 48(1): 1-26.

4. Baader F, Hanschke P. A Scheme for Integrating Concrete Domains into Concept Languages. In: The Twelfth International Joint Conference on AI. 1991: 452-457.

5. ISO. ISO 1101: 2004, Geometrical product specifications (GPS)—Geometrical Tolerancing—Tolerance of form, orientation, location and run-out.

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