Foreword

ISO/PDTS 10303-1083 was prepared by Technical Committee ISO/TC 184, Industrial automation systems and integration, Subcommittee SC4, Industrial data.

This International Standard is organized as a series of parts, each published separately. The parts of ISO 10303 fall into one of the following series: description methods, integrated resources, application interpreted constructs, application modules, application protocols, abstract test suites, implementation methods, and conformance testing. The series are described in ISO 10303-1. A complete list of parts of ISO 10303 is available from the Internet:

http://www.nist.gov/sc4/editing/step/titles/.

Annexes A and B form an integral part of this part of ISO 10303. Annexes, C, D, E, aand F are for information only.

Introduction

This application module specifies the use of a mathematical function to describe the variation of a property with respect to:

• position with a product;
• state within an activity; or
• a combination of these.

EXAMPLE - The variation of the temperature field within 'my widget' during 'my widget start-up' is a physical function:

• from the set of points within 'my widget' for the set of states within 'my widget start-up';
• to the space of temperatures.

This physical function is described by the mathematical function T(x₁, x₂, x₃, x₄), where:

• each position within 'my widget' is identified by the triple (x₁, x₂, x₃); and
• each state within 'my widget start-up' is identified by x₄.

Industrial automation systems and integration —
Product data representation and exchange —
Part 1083: Application module: Distribution mapping

1 Scope

This application module specifies how a mathematical function is used to describe a dependence of a property upon position within a body; state within an activity or state space, or both.

The following is within the scope of this application module:

• the description of a property distribution by a mathematical function;

  The description relies upon:

  • a parameterisation of the product, activity or both, that identifies each position within the product and each state within the activity by a value within a mathematical space; and

  • a scale for the property space, that identifies each property by a value within a mathematical space, and that is defined by a unit of measure, coordinate system and encoding method.

• the description of the relationship between two parameterisations by a mathematical function;

  EXAMPLE - The top surface of part XYZ_123 is parameterised by the unit square with corners (0,0), (1,0), (0,1) and 1,1). This parameterisation is used for a B-spline description of the surface shape.

  The top surface of part XYZ_123 is also parameterised by 'my finite element mesh'. This parameterisation is used to describe the variation of pressure over the surface.

  There is a mathematical function over the finite element mesh that gives the point in the unit square corresponding to each point in the mesh.

• the description of the relationship between two scales by a mathematical function.

  EXAMPLE - Celsius and Fahrenheit are two different temperature scales. The two scales are related by the mathematical function that is:

  f(x): 100/180(x-32)

The following are not within the scope of this application module:

• the definition of a property distribution (i.e. what it is, rather than how it is described);
• the definition of a mathematical function;
• the definition of a parameterisation;
• the definition of a scale.