ISO/PDTS 10303-1084 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 inter-preted 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.
This application module specifies the use of a mathematical space to identify points within a product; or states within an activity or state space.
EXAMPLE - The points within 'my widget' for states within 'my widget start-up' are identified by the mathematical space of real quadruples (x1, x2, x3, x4), where xi Î R, and 0 £ xi £ 1 for i=1 to 4.
The mapping between this mathematical space and points within 'my widget' for states within 'my widget start-up' is chosen so that:
each material point within 'my widget' is identified by the triple (x1, x2, x3), so that the same molecule corresponds to the same triple throughout the activity irrespective of any deformation of the product; and
each state within 'my widget start-up' is identified by x4, such that the initial cold state corresponds to x4=0, and the final running state corresponds to x4=1.
The parametric space for the points and states supports the following mathematical descriptions:
the temperature field within 'my widget' during 'my widget start-up' is described by the mathematical function T(x1, x2, x3, x4), with respect to the Kelvin scale;
the position of each molecule within 'my widget' during 'my widget start-up' is described by the mathematical function X(x1, x2, x3, x4), with respect to the metre scale and 'my coordinate system';
the fibre fraction distribution within 'my widget' is described by the mathematical function fr(x1, x2, x3), with respect to the mass of fibre per mass of whole scale; and
the time of each state within 'my widget start-up' is described by the mathematical function t(x4), with respect to the second scale and an origin at the beginning of the activity.
A mapping between a mathematical space and a set of points can be chosen as follows:
each point or value within the mathematical space corresponds to the same material point within the product for all states of the product;
This is approach is used in an Eulerian problem formulation.
EXAMPLE - The points within 'my widget' are identified by points within 'my finite element mesh 1'. This identification is used in the first stage of 'my forging analysis'. The points within 'my widget' are also identified by points within 'my finite element mesh 2'. This identification is used in the second stage of 'my forging analysis'.
Each point within an unstructured finite element mesh can itself be identified by:
element number i; and
element coordinates (x, h, z ).
each point or value within the mathematical space corresponds to the same point within a geometric space for all states of the product.
In this case the product is not a particular quantity of matter but the matter that happens to be within the a geometric space. This approach is used in a Lagrangian problem formulation.
EXAMPLE - The points within 'my duct' are identified by points within 'my structured mesh'. The point in the duct identified by a point in the mesh has the same position for each state of the duct. However, the matter at each point will be different if there is fluid flowing through the duct.
It the duct is a wave guide in space there may be no matter at a point. Nonetheless, there are electromagnetic field properties for each point.
Each point within a structured finite element mesh can itself be identified by:
position of element within the mesh (i, j, k); and
element coordinates (x, h, z ).
NOTE - It is possible for a mathematical space to parameters a product, where a point or value within the mathematical space corresponds to neither a material point within the product nor a point within a geometric space.
Consider the product that is the fluid flowing through a deforming duct. A mathematical space can be chosen to identify points within the duct such that each point or value on the boundary of the mathematical space identifies a material point on the boundary of the duct, irrespective of any deformation of the duct. However, a point or value in the interior of the mathematical space identifies neither a material point nor a point within a geometric space.
This application module supports the definition of a parametric space for the points within the body of a product, the states within an activity or state space, or both.
The following are within the scope of this application module:
the relationship between a set of points within the body of a product and a mathematical space which identifies them;
EXAMPLE - The relationship between the set of points within a widget of type XYZ and the unit cube within real triple space that has corners (0, 0, 0), (1, 0, 0), (0, 1, 0), (1, 1, 0), (0, 0, 1), (1, 0, 1), (0, 1, 1), (1, 1, 1) is considered.
A widget of type XYZ has a simple shape which makes this mapping possible. A more complex widget could be divided into parts, such that each can map on to a unit cube or some other simple mathematical space.
the relationship between a set of features with the body of a product and a mathematical space which identifies them;
EXAMPLE - The space within 'my duct' is a product which is has air flowing through it. There is a set of planes within 'my duct', such that each is approximately normal to the direction of flow. Each of these planes can be regarded as a product which is a feature of 'my duct' as a whole.
There are properties for each of the planes in 'my duct', such as average pressure, average velocity and average temperature. Hence there is a variation of average pressure (say) with respect to the plane within 'my duct'.
In order to describe a variation of average pressure with respect to plane within 'my duct', a parameterisation of the planes is defined by a relationship between the set or space of planes and the unit interval [0, 1] within the space of reals.
the relationship between a set of states that forms a state space or that exist in sequence during an activity and a mathematical space which identifies them;
EXAMPLE - The relationship between the set of states within the start up sequence for a widget of type XYZ and the unit interval [0, 1] within the space of reals is considered.
the relationship between a set of points for states that exists within that the body of a product for a state space or during an activity and a mathematical space which identifies them.
The following are not within the scope of this application module:
If you have a comment on this module, please send it to the support team