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基于自适应随机抽样敏度分析的双向渐进结构优化方法
引用本文:宋健,温卫东,张宏建. 基于自适应随机抽样敏度分析的双向渐进结构优化方法[J]. 航空动力学报, 2013, 28(9): 2090-2099
作者姓名:宋健  温卫东  张宏建
作者单位:南京航空航天大学能源与动力学院, 南京210016
摘    要:为了解决周期循环结构拓扑优化难题,在传统的双向渐进结构优化方法(BESO)的基础上,引入了一种自适应参数策略和随机抽样的方法,提出了基于自适应随机抽样敏度分析的双向渐进结构优化方法,该方法同样适用于非周期结构.以该方法为基础,对Michell桁架结构进行了拓扑优化设计,得到了与理论解一致的结构,并且相对初始结构质量减少了71.5%,说明了所提方法的正确性.基于此方法对多辐板风扇盘进行了结构拓扑优化设计,得到了三辐板风扇盘结构,相比同等设计条件下的参考风扇盘质量减少了17.12%,进一步说明了此方法具有处理复杂周期循环结构拓扑优化设计问题的能力,另外此方法克服了传统双向渐进结构优化方法中容易产生的振荡问题. 

关 键 词:自适应策略   随机抽样方法   周期循环结构   双向渐进结构优化   多辐板风扇盘
收稿时间:2012-09-27

Bi-directional evolutionary structural optimization method based on self-adaption and random sampling sensitivity analysis
SONG Jian,WEN Wei-dong and ZHANG Hong-jian. Bi-directional evolutionary structural optimization method based on self-adaption and random sampling sensitivity analysis[J]. Journal of Aerospace Power, 2013, 28(9): 2090-2099
Authors:SONG Jian  WEN Wei-dong  ZHANG Hong-jian
Affiliation:College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract:In order to solve the issue of periodic structural topology optimization with design-dependence,the self-adaption strategy and random sampling method were developed,and a topology optimization approach called bi-directional evolutionary structural optimization(BESO) using self-adaption and random sampling sensitivity analysis was proposed based on traditional BESO method.It is also suitable for the non-periodic structures.Based on the approach,the Michell truss structure topological optimization design was carried out,and the optimum structure was obtained in consistence with the theoretical solution.The mass was reduced by 71.5%,compared with the initial structure,showing the proposed method is reasonable;moreover,the multi-web fan disk was designed by the above method,and a new three-web fan disk was obtained.The mass declined by 17.21% in relation to the reference fan disk.The results further illustrates that the method has the ability to cope with the complex issue of periodic structural topology optimization.Additionally,the prone oscillation problems of classical BESO method has been overcome by the algorithm.
Keywords:self-adaption strategy  random sampling method  periodic structure  bi-directional evolutionary structural optimization  multi-web fan disk
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