基于相变量的风力机叶片宏观拓扑优化设计

MACRO TOPOLOGY OPTIMIZATION DESIGN OF WIND TURBINE BLADE BASED ON PHASE VARIABLES

不同复合纤维布和软夹芯材料的空间布局将产生不同的叶片结构性能和质量,为最大程度发挥材料空间布局的设计潜力,提出基于相变量的叶片宏观拓扑优化方法。基于独立连续映射法,建立以单元伪密度为设计变量、强度为约束、质量最小为目标函数的叶片多相材料拓扑优化数学模型,以修正的满应力设计方法和关系映射反演原则相结合的算法进行求解,通过Abaqus-Python-Matlab联合平台实现优化。以1.5 MW叶片为例,得到复合纤维和软夹芯材料的优化空间布局,基于等代设计法调整不规则区域。结果表明:优化后叶片的强度满足要求且质量明显减小,验证了方法的有效性和可行性。

Blades have a range of structural performance and quality depending on the topology of composite fiber cloth and soft sandwich materials.To maximize the design potential of material space layout,this study proposes a macro topology optimization approach for blades by using phase variables.The mathematical formulation for topology optimization is established,with elemental pseudo density as design variable,minimum weight as the objective function and the strength as the constraint.The problem is solved using a combination of the modified full stress approach and the relational mapping inversion principle,with optimization performed using the Abaqus-Python-Matlab joint platform.Taking 1.5 MW blade as an example,the optimized space layout of blade composite and soft sandwich material is achieved,and the irregular area is adjusted using the equivalent design criteria.The results indicate that the optimized blade meets the requirements for strength,while dramatically reducing the mass,also verifying the effectiveness and feasibility of the proposed method.