Geometric Constraint Solving and Applications by Rüdiger Klein (auth.), Beat Brüderlin, Dieter Roller (eds.)

By Rüdiger Klein (auth.), Beat Brüderlin, Dieter Roller (eds.)

Geometric constraint programming raises flexibility in CAD layout necessities and ends up in new conceptual layout paradigms.
This quantity encompasses a choice of paintings via major researchers constructing many of the facets of constraint-based product modeling.
In an introductory bankruptcy the function of constraints in CAD platforms of the long run and their implications for the STEP information trade layout are mentioned. the most a part of the publication offers with the appliance of constraints to conceptual and collaborative layout, in addition to cutting-edge mathematical and algorithmic tools for constraint solving.

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Automotive, AEC, shipbuilding, electrical, ... ) and different aspects of the product life-cycle (design, finite element analysis, process planning, ... ). The structure of STEP is fairly complex. The lower Part numbers (lOO-series and below) define the infrastructure and a set of integrated resources. The actual data exchange standards are specified by Application Protocols in the 200-series, and these are defined in terms of the lower-level resources. Part 11 specifies the EXPRESS information modeling language, which is used for the formal definition of constructs in the exchange files.

One of the major deliverables of ENGEN has been the ENGEN Data Model, which makes provision for the capture of both explicit and unevaluated or history-based models. The corresponding STEP Parametrics document is known as the Parametrics Framework. Neither document is complete, and both of them have fleshed out the details more in the area of explicit geometric constraints than in any other area. Collaboration between ENGEN and the STEP Parametrics Group has led to considerable convergence between the constraint models in the two documents, though because of the limited scope of ENGEN there are a few notable differences: • ENGEN is essentially restricted to 2D constraints, while STEP also allows 3D constraints • STEP defines a smaller number of more general constraints • ENGEN applies to a wider range of elements including trimmed curves Chapter 1: The Semantics of Geometric Constraints 31 • ENGEN explicitly specifies 'sense' information • ENGEN constraints have optional accuracy attributes On the other hand there are strong similarities in other respects.

STEP will always transmit a fully evaluated model to be used for this purpose. The relationships between the elements in this model will be checked by the constraint solver in the receiving system; only minor adjustments should be necessary to ensure constraint satisfaction in the new computational environment, except in pathological cases. Chapter 1: The Semantics of Geometric Constraints 27 be transferred is the set of geometric relationships existing in the model as perceived by the designer; these will include dimensional constraints and relationships such as parallelism and tangency.

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