【摘要】 航空航天装备正向着高机动、高航程和高承载的方向发展，对结构的轻量化设计提出了更高要求。点阵结构作为新型的低密度轻质结构，具有高比强度和高比刚度等优异的力学性能，在轻量化设计领域具有广阔的应用前景。但传统阵列法生成的点阵结构在进行复杂外形结构建模时，难以避免裁剪操作造成的点阵完整性破坏和应力集中等问题。本文利用隐式建模技术对点阵结构进行统一数学表征，提出了点阵共形设计方法，并结合尺寸优化技术实现了功能梯度共形点阵的设计。整流罩和蒙皮的设计试验表明，对共形点阵进行梯度设计可改善结构刚度，优化后的整流罩和蒙皮刚度分别提高了23.0%和60.5%，验证了所提方法在飞行器结构轻量化中的潜在应用。更多还原

【Abstract】 Aerospace equipment is evolving towards greater mobility, extended range, and increased load-bearing capacity, which puts forward higher requirements for the lightweight design of structures. As the new type of low-density lightweight structure, lattice structures have excellent mechanical properties such as high specific strength and specific stiffness, showing great prospects in the field of lightweight design. However, the lattice structures generated by traditional array method is not being able to avoid damage to integrity of the lattice structures and stress concentration due to the cropping operation, particularly in modeling structures with complex shapes. This study proposes a unified mathematical characterization and conformal design method for lattice structures based on implicit modeling. The design of functional gradient conformal lattice structures is achieved through the size-optimization technique. Design experiments of fairing and skin demonstrated that gradient design of conformal lattice structures enhanced structural stiffness. Stiffness of the optimized fairing and skin increased by 23.0% and 60.5%, respectively, which verifies potential of the proposed method in application of lightweight design of aircraft structures.更多还原