结构拓扑优化设计的发展、现状及展望Development Actuality and Prospect On Research of Structural Topology Optimization
赵丽红,郭鹏飞,孙洪军,宁丽莎
摘要(Abstract):
指出结构拓扑优化设计的难点,回顾了它的发展概况,进而总结了离散变量结构的拓扑优化和连续体结构的拓扑优化的一些算法,并对结构拓扑优化的发展方向提出了展望。
关键词(KeyWords): 拓扑优化;离散变量;连续体结构
基金项目(Foundation):
作者(Author): 赵丽红,郭鹏飞,孙洪军,宁丽莎
参考文献(References):
- [1]KirschU.Optimaltopologyofstructures[J].CompMethodsApplMechEng,1988,71:15-28.
- [2]KirschU.OnSingularTopologiesinOptimumStructuralDesign[J].StructuralOptimization,1990,(2):133-142.
- [3]FleuryC,SchmitLA.DualMethodsandApproximationConceptsinStructuralSynthesis[J].NASA,1980,CR:3226.
- [4]KirschU.ToppingBHV.MinimumWeightDesignofStructuralTopologies[J].J.StructuralEng.1992,(8):1770-1785.
- [5]BendsoeMPKikuchiN.GeneratingOptimalTopologiesinStructuralDesignUsingaHomogenizationMethod[J].CompMethApplMechEngrg,1988,71(1):197-224.
- [6]ChengGengdong.SomeAspectsonTrussTopologyOptimization[J].StructuralOptimization,1995,10(3/4):173-177.
- [7]ChengGengdong,JiangZheng.StudyonTopologyOptimizationwithStressConstraints[J].EngineeringOptimization,1992,20(2):129-148.
- [8]GuoX,ChengGD.ANewApproachfortheSolutionofSingularOptimuminStructuralTopologyOptimization[J].ActaMechanicaSinica,1997,(13):171-178.
- [9]KawamuraH,OhmoriHandKitoN.TrussTopologyOptimizationbyaModifiedGeneticAlgorithm[J].StructOptim,2002,(23):467-472.
- [10]ChengGD,GuoX.ε-relaxedApproachinStructuralTopologyOptimization[J].StructuralOptimization,1998,(13):258-266.
- [11]ZhouM.DifficultiesinTrussTopologyOptimizationwithStressandLocalBucklingConstraints[J].StructuralOptimization,1996,(11):134-136.
- [12]RozvanyGIN.DifficultiesinTrussTopologyOptimizationwithLocalBucklingandSystemStabilityConstraints[J].StructuralOptimization,1996,(11):213-221.
- [13]HobackAS.OptimizationofSingularProblems[J].StructuralOptimization,1996,(12):93-97.
- [14]GuoX,KoetsuYamazaki,ChengGD.ANewApproachfortheSolutionofSingularOptimainTrussTopologyOptimizationwithStressandLocalBucklingConstraints[J].StructuralandMultidisciplinaryOptimization,2001,22(5):364-373.
- [15]谭中富,何成杰.关于拓扑优化中最优解"奇异"现象的讨论[J].哈尔滨建筑大学学报.1996,29(1):17-22.
- [16]石连栓.离散变量结构优化设计算法研究综述[J].天津职业技术师范学院学报,2001,11(1):5-9.
- [17]隋允康,杨德庆,王备.多工况应力和位移约束下连续体结构拓扑优化[J].力学学报,2000,32(2):171-179.
- [18]蔡文学,程耿东.桁架结构拓扑优化设计的模拟退火算法[J].华南理工大学学报.1998,26(9):78-83.
- [19]孙焕纯,柴山,王跃方.离散变量结构优化设计的发展、现状及展望[J].力学与实践,1997,19(4):7-11.
- [20]汪树玉,刘国华,包志仁.结构优化设计的现状与展望[J].基建优化,1999,20(4):3-14.
- [21]许素强,夏人伟.桁架结构拓扑优化与遗传算法[J].计算结构力学及应用,1994,11(4):436-446.
- [22]程耿东.关于桁架结构拓扑优化中的奇异最优解[J].大连理工大学学报.2000,40(4):379-383.
- [23]孙焕纯,柴山,王跃方.离散变量结构优化设计[M].大连理工大学出版社.1995.
- [24]段宝岩,陈建军.基于极大熵思想的杆系结构拓扑优化设计研究[J].固体力学学报.1997,18(4):329-335.
- [25]高峰,王德俊,胡俏.多工况多约束离散变量桁架拓扑优化的GA算法[J].东北大学学报.1999,20(1):94-97.
- [26]王跃方,孙焕纯.多工况多约束下离散变量桁架结构的拓扑优化设计[J].力学学报.1995,20(3):94-97.
- [27]陈建军,曹一波,段宝岩.基于可靠性的桁架结构拓扑优化设计[J].力学学报.1998,30(3):277-284.
- [28]刘光惠,韦日钰.桁架拓扑和尺寸优化的协同演化算法[J].广西科学.2000,7(2):81-84.
- [29]柴山,石连栓,孙焕纯.包含两类变量的离散变量桁架结构拓扑优化设计[J].力学学报.1999,31(5):574-583.
- [30]郭旭.结构拓扑优化中奇异最优解的研究[D].大连:大连理工大学,1997.