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

Baptiste Ristagno, Dominique Giraud, Julien Fontchastagner, Denis Netter, Noureddine Takorabet, Geoffrey Devornique, Nicolas Labbe

• 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.