Advances in the Optimization of Stacking Sequence of Composite Structures with Continuous Design Variables
In this paper, different ingredients of a solution scheme for the optimal stacking sequence of composite structures are presented. The formulation of the optimization problem is based on multi-phase topology optimization. First, a solution for laminates made up of conventional plies oriented at ‐45°, 0°, 45 and 90° is presented and extended to take into account the classical design rules. The formulation relies on a parameterization in which the discrete optimization problem is replaced by a continuous approach with a penalty to exclude intermediate values of design variables. In this specific parameterization called SFP – Shape Functions with Penalization, the material stiffness pf each physical ply is expressed as a weighted sum over the stiffness of the 4 candidate plies corresponding to ‐45°, 0°, 45 and 90° orientations. The finite element shape function of a quadrangular element are used in the parameterization of the problem. The design rules are expressed in terms of the new parameterization. This specific parameterization is extended with the Wachspress shape function to take into account any number of candidate orientations. The approach is then used to distribute sub-laminates in the composite structure. The formulation is demonstrated on academic applications and on a wing type structure.
Authors: M. Bruyneel, J. Bazan Martinez, S. Grihon, P. Duysinx
Conference: SAMPE Europe Conference 2016