工程结构优化设计研究进展
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摘要
对工程结构优化设计进行了综述,系统介绍了不确定性优化、形状优化、拓扑优化、多目标优化、系统优化等现代工程结构优化设计以及遗传算法、模拟退火算法、神经网络算法等现代仿生学寻优新方法及其应用,指出寻求目标函数和约束函数的高精度近似显式解析式和对最优准则法、数学规划法及仿生学算法进行改进、组合是工程结构优化算法发展的主要方向.
The optimal design of engineering structures was reviewed.Some frontier optimal design methods such as uncertainty optimization,shape optimization,topological optimization,multi-objective optimization,system optimization and some bionics algorithm methods like genetic algorithm,simulated annealing and neural network algorithm as well as their application were introduced.The searching of high-precision approximate explicit analytic expression for objective functions and constraint functions and the improvement and combination of optimal criteria,mathematical programming approaches and bionics algorithms were suggested to be the main development direction of the optimal algorithms for engineering structures.
The optimal design of engineering structures was reviewed.Some frontier optimal design methods such as uncertainty optimization,shape optimization,topological optimization,multi-objective optimization,system optimization and some bionics algorithm methods like genetic algorithm,simulated annealing and neural network algorithm as well as their application were introduced.The searching of high-precision approximate explicit analytic expression for objective functions and constraint functions and the improvement and combination of optimal criteria,mathematical programming approaches and bionics algorithms were suggested to be the main development direction of the optimal algorithms for engineering structures.
引文
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[19]王栋,李晶.空间桁架结构动力学形状优化设计[J].工程力学,2007,24(4):129-134.(WANG Dong,LI Jing.Shape optimizationof space trusses subject tofrequency constrains[J].Engineering Mechanics,2007,24(4):129-134.(in Chinese))
[20]DORN WS,GEMORY R E,GREENBERG HJ.Automatic design of optimal structures[J].J Mech,1964,3(1):25-52.
[21]DOBBS MW,FELTONL P.Optimization of truss geometry[J].J Struct Div Proc ASCE,1969,95(ST10):2105-2118.
[22]KIRSCHU,TOPPING B HV.Minimumweight design of structural topologies[J].J Struc Eng,1992,118(7):1770-1785.
[23]LIPSONS L,GWINL B.The complex method appliedto optimal truss configuration[J].Computers&Structures,1977,7(3):461-468.
[24]姜冬菊,王德信.离散变量桁架结构拓扑优化设计的混合算法[J].工程力学,2007,24(1):112-116.(JIANG Dong-ju,WANGDe-xin.Ahybrid algorithmfor topology optimization of truss structures with discrete variables[J].Engineering Mechanics,2007,24(1):112-116.(in Chinese))
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