ISO 10303-51:2005
(Main)Industrial automation systems and integration — Product data representation and exchange — Part 51: Integrated generic resource: Mathematical representation
Industrial automation systems and integration — Product data representation and exchange — Part 51: Integrated generic resource: Mathematical representation
ISO/IS 10303-51:2005 specifies the integrated resource Mathematical representation. ISO 10303-51 constrains the use of the concepts of mathematical value that are defined by ISO 10303-50. The uses are specified as follows: that a real or integer number identifies a physical quantity instance, or a product, activity or state; that a mathematical space is the range of an an identification function for a physical quantity space, or a set of products, activities or states; that mathematical function describes a property variation over a continuous or discrete domain.
Systèmes d'automatisation industrielle et intégration — Représentation et échange de données de produits — Partie 51: Ressources génériques intégrées: Représentation mathématique
General Information
- Status
- Published
- Publication Date
- 13-Oct-2005
- Technical Committee
- ISO/TC 184/SC 4 - Industrial data
- Drafting Committee
- ISO/TC 184/SC 4/WG 12 - STEP product modelling and resources
- Current Stage
- 9093 - International Standard confirmed
- Start Date
- 28-Jun-2024
- Completion Date
- 14-Feb-2026
Overview
ISO 10303-51:2005, part of the ISO 10303 series (commonly known as STEP), defines standardized methods for the mathematical representation of product data in industrial automation systems and integration. This international standard provides integrated generic resources for mathematical values and functions, enhancing product data representation and exchange. It sets clear guidelines for how mathematical values like real or integer numbers are used to identify physical quantities, products, activities, or states, and for describing mathematical spaces and functions within the product lifecycle.
Adhering to ISO 10303-51:2005 supports seamless interoperability, data consistency, and efficiency in the exchange of product data between computer-aided design (CAD), manufacturing (CAM), and engineering (CAE) applications.
Key Topics
- Mathematical Values: Defines how real and integer numbers are used to identify specific instances of physical quantities or to reference products, activities, or states in a standardized way.
- Mathematical Spaces: Clarifies how a mathematical space functions as the range of identification for physical quantity spaces and sets of products, activities, or states.
- Mathematical Functions: Specifies approaches for describing property variations over continuous or discrete domains, improving the precision and semantic consistency of data exchange.
- Data Interoperability: Facilitates standardized data representation, vital for integrating diverse industrial systems and supporting digital transformation goals.
- Resource Integration: Builds on the general concepts defined in ISO 10303-50 by constraining and specifying their application for mathematical representations.
Applications
ISO 10303-51:2005 is widely used across industries engaged in complex product development and automation, including:
- Product Lifecycle Management (PLM): Enables accurate tracking and exchange of mathematical data related to product behavior, state, and functional variation throughout design, manufacturing, and service processes.
- CAD/CAM/CAE Data Integration: Assists in consistent, lossless exchange of numerical and mathematical data between software tools, reducing errors and rework.
- Simulation and Analysis: Provides a standardized foundation for representing mathematical properties required in engineering simulations and analyses.
- Automated Manufacturing: Supports the precise representation of properties and states in automated equipment, robotic systems, and quality assurance workflows.
By employing ISO 10303-51:2005, organizations can achieve enhanced data reliability, improved system integration, and streamlined collaboration across their supply chains and development networks.
Related Standards
- ISO 10303-1: Overview and Fundamental Principles - Introduces the STEP series, offering context for the modular parts.
- ISO 10303-50: Mathematical Foundation and Value Concepts - Provides the foundational concepts for mathematical values, upon which Part 51 builds and constrains usage.
- ISO 10303-11: EXPRESS Language Reference - Details the data modeling language used for defining information models throughout STEP standards.
- ISO 10303-21: STEP-File Clear Text Encoding - Specifies the data exchange format for the transfer and sharing of STEP-based product models.
- ISO 10303-203: Configuration Controlled 3D Designs - Applies STEP for three-dimensional mechanical design, complementing mathematical representations defined in Part 51.
Adoption of ISO 10303-51:2005, together with its related standards, fosters comprehensive, standards-based digital product data representation critical for modern industrial automation environments.
Keywords: ISO 10303-51, mathematical representation, industrial automation systems, product data exchange, STEP standard, data interoperability, manufacturing integration, mathematical functions, product lifecycle management
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Frequently Asked Questions
ISO 10303-51:2005 is a standard published by the International Organization for Standardization (ISO). Its full title is "Industrial automation systems and integration — Product data representation and exchange — Part 51: Integrated generic resource: Mathematical representation". This standard covers: ISO/IS 10303-51:2005 specifies the integrated resource Mathematical representation. ISO 10303-51 constrains the use of the concepts of mathematical value that are defined by ISO 10303-50. The uses are specified as follows: that a real or integer number identifies a physical quantity instance, or a product, activity or state; that a mathematical space is the range of an an identification function for a physical quantity space, or a set of products, activities or states; that mathematical function describes a property variation over a continuous or discrete domain.
ISO/IS 10303-51:2005 specifies the integrated resource Mathematical representation. ISO 10303-51 constrains the use of the concepts of mathematical value that are defined by ISO 10303-50. The uses are specified as follows: that a real or integer number identifies a physical quantity instance, or a product, activity or state; that a mathematical space is the range of an an identification function for a physical quantity space, or a set of products, activities or states; that mathematical function describes a property variation over a continuous or discrete domain.
ISO 10303-51:2005 is classified under the following ICS (International Classification for Standards) categories: 25.040.40 - Industrial process measurement and control. The ICS classification helps identify the subject area and facilitates finding related standards.
ISO 10303-51:2005 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
Standards Content (Sample)
INTERNATIONAL ISO
STANDARD 10303-51
First edition
2005-10-15
Industrial automation systems and
integration — Product data
representation and exchange —
Part 51:
Integrated generic resource:
Mathematical representation
Systèmes d'automatisation industrielle et intégration — Représentation
et échange de données de produits —
Partie 51: Ressources génériques intégrées: Représentation
mathématique
Reference number
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ISO 2005
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