New concepts in specifications, operators and uncertainties and their impact on measurement and instrumentation

Nielsen, Henrik S.

doi:10.1088/0957-0233/17/3/s14

Cited by 19 publications

(11 citation statements)

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“…5 (2009) [24]. Similarly, international tolerancing standards (ISO) have also evolved from the ISO system of limits and fits ISO/R 286 (1962) and standards for technical drawing and geometrical tolerancing ISO/R 1101 (1969) to a new system of standards for Geometrical Product Specifications (GPS) which are now being developed in the different working groups of lSO/TC 213 [222].…”

Section: History Of Tolerancingmentioning

confidence: 99%

Tolerancing: Managing uncertainty from conceptual design to final product

et al. 2018

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Section: History Of Tolerancingmentioning

confidence: 99%

Tolerancing: Managing uncertainty from conceptual design to final product

et al. 2018

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“…harmonize with the informatization of manufacturing industry, many new concepts, such as specification/compliance uncertainty, operators (specification operator, verification operator), mathematical operations (partition, extraction, filtration, association and collection), etc, have been employed in GPS [4][5][6]. However, these concepts are based on rigorous mathematics and, at the same time, intricately related, which makes them inconvenient to be used directly.…”

Section: Introductionmentioning

confidence: 99%

Modeling the integration between specifications and verification for cylindricity based on category theory

Jiang

Liu

et al. 2010

Meas. Sci. Technol.

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Geometrical product specifications (GPS) is a standard system defined by ISO/TC213 which covers the standardization for micro-and macro-geometry specifications to make it suitable for the requirements of modern technologies. In addition, it integrates specifications and verification to make geometrical specifications more unambiguous and unique. Data modeling is a primary task in building an integrated information system for the application of geometrical characteristics consistent with the GPS standard system. It is feasible to extend this data modeling method to the whole GPS information system. This paper presents data modeling for the integration between specifications and verification for cylindricity consistent with GPS based on the category theory. The categorical data modeling method represents and stores all the elements and the relationships between them concerning the specifications and the verification process for cylindricity by categories, objects and morphisms; the established categories can be extended flexibly; the relationships between the objects were refined by pull back structures; and the manipulations of the model, such as query and the closure of query, are realized successfully by functor transforms in category theory.

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“…Furthermore, these approaches do not take advantage of the specific way to inspect the real object and the numerical devices that can be used to evaluate the acquired point cloud. Based on these specific characteristics, new categories of form error can be introduced in accordance with the duality principle reported in GPS standards (Nielsen 2006). Finally, another drawback of the tolerance inspection methods based on CAD systems is the lack of standards for geometric data exchange.…”

mentioning

confidence: 99%

Automatic evaluation of form errors in high-density acquired surfaces

Angelo¹,

Stefano²,

Morabito³

2011

International Journal of Production Research

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International audienceIn this paper the authors present an original methodology aiming at the automation of the geometric inspection, starting from a high-density acquired surface. The concept of intrinsic nominal reference is herein introduced in order to evaluate geometric errors. Starting from these concepts, a new specification language, which is based on recognizable geometric entities, is defined. This work also proposes some surface differential properties, such as the intrinsic nominal references, from which new categories of form errors can be introduced. Well-defined rules are then necessary for the unambiguous identification of these intrinsic nominal references. These rules are an integral part of the tolerance specification. This new approach requires that a recognition process be performed on the acquired model so as to automatically identify the already-mentioned intrinsic nominal references. The assessable errors refer to recognizable geometric entities and their evaluation leaves the nominal reference specification aside since they can be intrinsically associated with a recognized geometric shape. Tolerance specification is defined based on the error categories which can be automatically evaluated and which are an integral part of the specification language

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New concepts in specifications, operators and uncertainties and their impact on measurement and instrumentation

Cited by 19 publications

References 0 publications

Tolerancing: Managing uncertainty from conceptual design to final product

Tolerancing: Managing uncertainty from conceptual design to final product

Modeling the integration between specifications and verification for cylindricity based on category theory

Automatic evaluation of form errors in high-density acquired surfaces

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