多相多孔材料/结构的集成优化设计  

Integrated Optimal Design of Multiphase Porous Materials and Structures

作　　者：孙士平[1] 秦国华[1] 张卫红[2] 

机构地区：[1]南昌航空大学航空号机械工程学院,江西南昌330063 [2]西北工业大学中法并行工程联合实验室,陕西西安710072

出　　处：《航空学报》2009年第1期186-192,共7页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10676028,50775184,90405016);航空科学基金(2006ZA53006,2006ZE56006);国家“973”基础研究(2006CB601205);国家“863”计划(2006AA04Z122);南昌航空大学科研基金(EA200703093)

摘　　要：采用均匀化方法,以宏观结构柔顺度为优化目标,开展了多相多孔材料/结构的集成优化设计。借鉴仿生思想,提出两尺度材料/结构构成模型,归纳出微结构精细设计的选择判据。结合伪密度法和周长控制消除了多相材料分布的棋盘格。采用分层优化方法并结合算例研究了实体材料模量相对比值、材料组分变化对优化结果的影响。计算结果说明所提出的结构构成模型能有效地应用于多相多孔材料/结构的优化设计,为新型多功能材料/结构的设计拓宽了思路。This article presents an extension of the integrated design methodology for topology optimization to multiphase porous materials and structures through maximizing the global stiffness of the overall structure based on the homogenization method.Drawing on concepts in bionics,a two-scale integrated design model of material and structure is proposed,and the criteria for the selection of the fine design of multiphase microstructures are obtained.Combining perimeter constraints and the solid isotropic material with penalization（SIMP） law,the optimal distributions of multiphase materials are obtained by elimination of checkerboards.Influences of the elastic module ratio and the volume fraction of solid phases on optimal design are investigated.Numerical results show that the model is well adapted to the design of multiphase porous materials and structures such as honeycomb panels and sandwich panels.

关 键 词：拓扑 优化 多相材料 多孔材料 微结构 均匀化方法 

分 类 号：V214.8[航空宇航科学与技术—航空宇航推进理论与工程]