Abstract:
To address the design requirements of deformation resistance of structural load-bearing surfaces, a multiple nodal displacement constraint topology optimization method is proposed in the augmented Lagrangian framework. Firstly, a topological optimization formulation is established, with multiple nodal displacement as the constraints and volume fraction minimization as the objective. Secondly, the multi-constrained optimization problem is subsequently transformed into an unconstrained optimization problem by converting numerous displacement constraint functions into the objective function by the augmented Lagrangian method. Finally, the unconstrained optimization problem is then solved using the method of moving asymptotes. Numerical results demonstrate that, when compared to the aggregation method, the proposed method is more robust, efficient, and parameter-independent. By comparison with formulation for compliance minimization, the proposed method can effectively control deformation in the local region, which is critical for engineering applications such as lightweight design of wind turbine blades.