摘要
点阵结构具有质量轻、比强度/比刚度高、减振吸能效率高等优势,被广泛应用于航空航天及深海领域等高端装备关键承载部件设计。然而,传统点阵结构在微观尺度上,其单胞仅能通过单一参数描述;在宏观尺度上,单胞分布则局限于均布式假设,导致设计空间未被充分利用,制约了力学性能提升,难以满足关键承载部件极致轻量化设计的严苛需求。本文提出一种多参数点阵结构多尺度拓扑优化设计方法:在微观尺度上,采用近似模型辅助的粒子群优化算法实现多参数点阵单胞拓扑构型设计;在宏观尺度上,利用参数化水平集拓扑优化方法实现点阵单胞的拓扑分布优化。所提方法实现了微观点阵材料设计与宏观结构优化的耦合,最大限度挖掘材料潜力,提升点阵结构的力学性能。算例结果表明,与传统单参数点阵结构相比,所提方法优化后的结构力学性能提升53.42%;相较于仅经微观单尺度优化或宏观单尺度优化的点阵结构,其性能分别提升48.07%和12.69%。这表明多尺度优化设计的点阵结构具有更优异的承载能力。本文方法显著拓展了点阵结构设计空间,能有效提升其力学性能,在航空航天等重点领域装备结构的轻量化设计中具有重要应用前景。
Lattice structures,characterized by lightweight properties,high specific strength and specific stiffness,and excellent vibration-damping and energy-absorbing efficiency,have been widely applied in the design of critical load-bearing components for high-end equipment in aerospace and deep-sea fields.However,for traditional lattice structures,the unit cells can only be described by a single parameter at the microscopic scale,and their distribution is confined to the assumption of uniformity at the macroscopic scale.This leads to underutilization of the design space,which restricts the enhancement of mechanical properties and fails to meet the stringent requirements for the extreme lightweight design of critical load-bearing components.In this paper,a multi-scale topology optimization design method for multi-parameter lattice structures is proposed.At the microscopic scale,the topological configuration design of multi-parameter lattice unit cells is achieved using an approximate model-assisted particle swarm optimization(PSO)algorithm.At the macroscopic scale,the topological distribution of lattice unit cells is optimized via a parametric level set-based topology optimization method.The proposed method realizes the coupling of microscopic lattice material design and macroscopic structural optimization,maximizing material potential and enhancing the mechanical properties of lattice structures.Numerical examples show that compared with traditional single-parameter lattice structures,the mechanical properties of the structures optimized using the proposed method are enhanced by 53.42%.Compared with lattice structures optimized via single-scale optimization(either microscopic or macroscopic),the performance is improved by 48.07%and 12.69%,respectively.This indicates that lattice structures designed with multi-scale optimization exhibit significantly superior load-bearing capacity.The proposed method significantly expands the design space of lattice structures and effectively enhances their mechanical properties,thus holding significant application potential for the lightweight design of structural components in key fields like aerospace.
作者
吴志强
蒋国璋
张严
段现银
苑森
WU Zhiqiang;JIANG Guozhang;ZHANG Yan;DUAN Xianyin;YUAN Sen(Key Laboratory of Metallurgical Equipment and Control Technology,Ministry of Education,Wuhan University of Science and Technology,Wuhan 430081,China)
出处
《航空制造技术》
北大核心
2025年第22期97-104,共8页
Aeronautical Manufacturing Technology
基金
国家自然科学基金(52205280、52575308)
湖北省自然科学基金(2024AFB624)
中国博士后科学基金(2024M763044)。
关键词
点阵结构
参数化水平集法
粒子群优化算法
多尺度拓扑优化
Lattice structures
Parametric level set method
Particle swarm optimization(PSO)algorithm
Multi-scale topology optimization
