柔性剪切蒙皮支撑结构的拓扑优化

为了求解关于柔性剪切蒙皮支撑结构的多目标拓扑优化问题,提出了一种带有多重约束处理能力的位矩阵表示的非支配排序遗传算法。采用位矩阵作为遗传算法的染色体并引入基于矩阵操作的遗传算子,利用Ansys有限元分析获得结构质量、面内剪切性能和面外承载能力等目标。利用Matlab处理结构连通性和面内应变等约束并实现了基于矩阵的优化算法,获得了一系列可行的柔性剪切蒙皮支撑结构,在实际应用中可以根据需要选择合适的结构。从研究结果可以看出,该算法可以给多目标二维结构拓扑优化问题提供可行有效的解。

Topology Optimization of Support Structure of Flexible Shear Skin

A bit-matrix representation NSGAII (non-dominated sorting genetic alg or ithm II) with multiple constraints handling is proposed to solve the multi-objective problem of topology optimization of support structure of flexible shear skin. Bit-matrix is adopted as a representation of the chromosome of the algorithm and GA (genetic algorithm) operators based on matrix are introduced. The objectives such as mass, in-plane performances and out-of-plane load bearing ability of the individuals are obtained by FEA (finite element analysis) using Ansys and the matrix-based optimization algorithm is realized in Matlab by handling the multiple constraints of structural connectivity and the in-plane strain requirements. Sequence of feasible configurations of the support structure is obtained and appropriate structure can be selected according to requirements in practical application. It can be seen from the results that the matrix-based NSGAII with multiple constraints handling can provide feasible and effective solutions for two- dimensional multi-objective topology optimization, such as the design of the support structure of the flexible shear skin.