FEM using projection of physical properties suitable for movement modeling and optimization processes

• Baptiste Ristagno ^[1] ; Dominique Giraud ^[1] ; Julien Fontchastagner ^[1] ; Denis Netter ^[1] ; Noureddine Takorabet ^[1] ; Geoffrey Devornique ^[2] ; Nicolas Labbe ^[2]
  1. [1] University of Lorraine

     University of Lorraine

     Arrondissement de Nancy, Francia

     
  2. [2] Valeo Electric Systems, Francia
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 39, Nº Extra 5, 2020, págs. 1185-1199
• Idioma: inglés
• Enlaces
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• Resumen

  • Purpose – Optimization processes and movement modeling usually require a high number of simulations. The purpose of this paper is to reduce global central processing unit (CPU) time by decreasing each evaluation time.

    Design Methodology Approach – Remeshing the geometry at each iteration is avoided in the proposed method. The idea consists in using a fixed mesh on which functions are projected to represent geometry and supply.

    Findings – Results are very promising. CPU time is reduced for three dimensional problems by almost a factor two, keeping a low relative deviation from usual methods. CPU time saving is performed by avoiding meshing step and also by a better initialization of iterative resolution. Optimization, movement modeling and transient-state simulation are very efficient and give same results as usual finite element method.

    Research Limitations Implications – The method is restricted to simple geometry owing to the difficulty of finding spatial mathematical function describing the geometry. Moreover, a compromise between imprecision, caused by the boundary evaluation, and time saving must be found.

    Originality Value – The method can be applied to optimize rotating machines design. Moreover, movement modeling is performed by shifting functions corresponding to moving parts.