摘要：This article presents different approaches for solving problems of topology and orientation optimization of laminated shell structures. The objective of the design is the minimization of volume under compliance constraints. The design variables are the relative densities and the principal material direction orientation of each layer in an element. A twolevel strategy is used, optimizing sequentially the orientation and then the density, aiming reducing the computational effort during each iteration. Sequential Linear Programming method is used to solve both optimization problems. Mathematical algorithms were derived for the solution of the problem. These algorithms were coded for single and multiple loading cases. The topology optimization can be considered as an extension for laminated shell structures of Cardoso6 and Sant’Anna25 works. An eight node degenerated shell finite element with explicit integration on the thickness direction, as in Kumar et al., is used to solve the equilibrium equations for laminated composites. Some illustrative examples are presented and discussed to show the applicability of the proposed optimization approaches.
其他摘要：This article presents different approaches for solving problems of topology and orientation optimization of laminated shell structures. The objective of the design is the minimization of volume under compliance constraints. The design variables are the relative densities and the principal material direction orientation of each layer in an element. A twolevel strategy is used, optimizing sequentially the orientation and then the density, aiming reducing the computational effort during each iteration. Sequential Linear Programming method is used to solve both optimization problems. Mathematical algorithms were derived for the solution of the problem. These algorithms were coded for single and multiple loading cases. The topology optimization can be considered as an extension for laminated shell structures of Cardoso6 and Sant’Anna25 works. An eight node degenerated shell finite element with explicit integration on the thickness direction, as in Kumar et al., is used to solve the equilibrium equations for laminated composites. Some illustrative examples are presented and discussed to show the applicability of the proposed optimization approaches.
