Integration Constraints in Parametric Design of Physical Objects.
CORNELL UNIV ITHACA NY MATHEMATICAL SCIENCES INST
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Design by constraint is a powerful approach to improve computer aided design CAD systems and designer productivity. This paper addressed the topic of incorporating integration constraints concerning object mass and inertia in a CAD system. Two classes of generic objects are discussed that contain affine and conformal images of a given solid, usually derived form the initial design solution. Domain-derivatives are partial derivatives needed to solve the existence problem of an object instance satisfying all constraints and, eventually, to find an optimal design solution. In the paper it is shown that these derivatives are closely linked to the topology of the solid. They are symbolically expressable as integrals over domains having a lower geometrical dimension than the original solid. Keywords Engineering design Polynomials Transformations, Optimization.
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