Computer-aided definition of sizing procedures and optimization problems of mechatronic systems
Résumé
This paper is dedicated to the generation of sizing procedures used during the preliminary optimal design of physical parts of mechatronic systems. The knowledge necessary to such design is composed of 2 layers: mechatronic system layer and component layer. Such knowledge can be represented by algebraic equations directly or by the use of meta-modelling techniques. Constraint networks and graphs theory are used here to represent and order the constraints and the links between those algebraic models in order to obtain a well-posed optimization problem. The selected or developed algorithms are finally illustrated with typical problems of component selection. From models to optimal preliminary design of mechatronics systems Preliminary design of mechatronic systems A mechatronic system [1] expands the capabilities of conventional mechanical systems through the integration of different technological areas around a power transmission part and an information processing part. The references [2] [3] highlight the fact that the design of such multi-domain systems requires different modelling layers as represented in Figure 1: 1. A mechatronic system layer, to take into account the functional and physical coupling between components. This level of modelling is usually done using 0D-1D models also called lumped parameter models represented by algebraic equations, ordinary differential equations (ODE) or differential algebraic equations (DAE) [4]. During preliminary design, these models represent sizing scenarios. Meta-modelling techniques often enable to represent those models by algebraic equations for a quicker optimization [5].
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