Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
2D Shape Optimization Based on a NURBS Surface Velocity Field
Submission Author:
Luiz Oliveira , SC
Co-Authors:
Luiz Oliveira, Pablo Andrés Muñoz Rojas
Presenter: Pablo Andrés Muñoz Rojas
doi://10.26678/ABCM.MECSOL2019.MSL19-0146
Abstract
This paper presents a procedure for shape optimization in plane elasticity problems solved using the finite element method. The strategy uses a B-Spline or a NURBS surface parameterization, which is differentiated with respect to boundary control points before discretization to obtain the velocity field. The position of domain control points can be made dependent on the coordinates of the boundary control points giving more flexibility to the method. By construction, the velocity field that outcomes from this approach is not affected by the finite element mesh quality. Furthermore, for a given mesh topology, this velocity field is shown to introduce reduced mesh distortions up to moderately large geometry modifications. This property is fundamental for a consistent shape optimization procedure, which must preserve the same mesh topology throughout the whole optimization process. The effectiveness of the method is compared to velocity fields obtained via Laplacian smoothing schemes. Since the NURBS based velocity field is performed in a parameterized domain, the approach can be directly extended for applications in the optimization of arbitrarily shaped shells.
Keywords
Shape, Optimization, Mesh, Sensitivity
