Research on Expression Method of a Unified Constraint Multi-domain Model for Complex Products

This paper studies the modeling method based on the unified constraint systems for complex products’ designing and analyzing. The method describes the complex product’s multi-domain optimization in a unified constraint model. The unified constraint expression for the product’s multi-domain simulation and optimization model can implemented by the mapping mechanism transferring the physical models into the mathematical models. Aiming at designing and analyzing for the complex mechanical products of the multi-field mixture and the sub-hierarchy, the paper studies the product’s associated constraints of the different areas’ hierarchical relationship, the constitutive constraints expressing the product areas’ constitutive relations, the body constraints describing the relationship between the association and the constitution, and the discrete constraints representing the discrete events to extract the commonality in different areas for these four constraints on the basis of the geometric constraints’ representation and the physical systems’ modeling. In connection with the commonality in the constraints, the products’ model formulation in the various fields is unified in the constraint level based on equations using the various structural elements’ constraints based on a unified expression of mathematical equations.