复合材料框架结构刚度几何双尺度优化设计

航空航天结构对超轻质大跨度框架类结构提出了迫切的需求,考虑纤维增强复合材料框架结构宏观与微观的可设计性,基于结构与材料一体化优化理念,研究了复合材料框架结构宏观拓扑与微观纤维铺层参数并发优化的双尺度优化问题。以宏观管件构件内半径与微观连续纤维缠绕角度为两类独立的设计变量,建立了以最小化结构柔顺性为目标函数、材料用量为约束的双尺度复合材料框架结构优化列式,给出了宏微观设计变量灵敏度信息的求解算法。讨论并对比了单尺度微观纤维缠绕角度优化、宏观截面拓扑优化与宏微观双尺度并发优化。数值算例表明,双尺度并发优化设计可进一步发掘结构与材料的承载潜力,实现既定性能下的结构轻量化设计。

Geometrical multi-scale stiffness optimization design of composite frame structure

For the urgent need of ultra-light weight and large-scale frame structures applied in aerospace structure.Based on structure and material integrated optimization concept, this paper presents the concurrent multi-scale optimization of composite frame structure from macro topology and micro fiber plies parameters by considering the designable of fiber-reinforced composite frame structure on macro and micro scale.The concurrent multi-scale composite frame structure optimization model based on the minimum structural compliance with a specified composite volume constraint was established.The macro tube's inner radius and micro fiber winding angle were introduced as the independent variables on the two geometrical scales (structural and material scales).The sensitivity information about the fiber winding angle and the tube's inner radius were also deduced.In the numerical examples, the micro fiber winding angle optimization, macro topology optimization and concurrent two-scale optimization results are separately studied and compared.Numerical examples show that the concurrent optimization of composite frame structure can further explore the potential of composite structure and material to achieve structural light weight.The novel two scale optimization model provides new choice for the design of the composite frame structures in aerospace and other industries.