This paper presents a new metamodel form and associated construction procedure adapted to the sizing tasks of mechatronics systems. This method of meta-modeling uses scaling laws to extract compact forms of design models from local numerical simulations (FEM). Compared to traditional metamodels (polynomial response surfaces, kriging radial basis function) the scaling-law-based metamodels have the advantage of a light, compact form and good predictive accuracy over a wide range of the design variables (several orders of magnitude). The general regression process is first explained and then illustrated on different examples: a purely numerical test function, a limited angle electromagnetic actuator and a flexible mechanical hinge.
This communication proposes to combine non causal modeling, metamodeling and scaling laws in order to take advantage of the inverse simulation capabilities of recent system level simulation software with the main target to assess technological alternatives quantitatively from a limited set of required data. The scaling laws are illustrated here for major hydraulic components (hydraulic cylinders and pumps) and are validated with manufacturers' data. The proposed methodology is illustrated with the preliminary sizing of an electro-hydrostatic actuator driving an aircraft primary flight control surface (aileron). The design exploration for geometrical integration and mass is realized using to surface response models.
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