Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces

Stiffener layout optimization of complex surfaces is fulfilled within the framework topology optimization. A combined parameterization method developed in two aspects. One to parameterize material distribution stiffener by means B-spline. The other build mapping relationship from known 3D surface mesh thin-walled structure its parametric domain parameterization. influence upon discussed reveal matching issue represented triangular can be dealt with even though analytical equations are not available. Some numerical examples solved demonstrate direct advantage and effectiveness proposed method.