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工程设计学报
Chinese Journal of Engineering Design  2015, Vol. 22 Issue (3): 256-261    DOI: 10.3785/j.issn. 1006-754X.2015.03.009
    
Concurrent subspace optimization for layout design of trusses
WANG Yi，YAO Wei-xing
Key Laboratory of Fundamental Science for National Defense Advanced Design Technology of Flight Vehicle，
 Nanjing University of Aeronautics and Astronautics， Nanjing 210016， China
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Abstract  Structural layout design exists some problems, such as complexity of variable types and existence of variables coupling. It is of important engineering significance to design the lightest structure, which meets the specific constraints. Based on the concurrent subspace optimization method in multidisciplinary design optimization，a structural concurrent subspace optimization method was developed for the layout design of trusses. In terms of the type of variables, the design problem of structures was decomposed into three concurrent subspaces as layout, shape and size. And the optimization in each subspace was carried out separately to avoid the coupling of design variables. By remaining the design variables in the lightest subspace unchanged and altering two other types of variables with approximate one-dimensional search algorithm, the coordination was achieved in system level to ensure the convergence of the analysis problem. Then next iterate was executed until termination. Two examples were solved successfully to demonstrate practical engineering value of the proposed method.

Key words： trusses      concurrent subspace optimization method      layout optimization      shape optimization      sizing optimization     
Received: 24 November 2014      Published: 28 June 2015
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WANG Yi，YAO Wei-xing. Concurrent subspace optimization for layout design of trusses. Chinese Journal of Engineering Design, 2015, 22(3): 256-261.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn. 1006-754X.2015.03.009     OR     https://www.zjujournals.com/gcsjxb/Y2015/V22/I3/256


桁架结构布局优化的并行子空间方法

由于结构布局优化存在设计变量类型众多和变量耦合等问题，采取合适的优化方法获得满足结构设计要求的最小质量的结构具有重要的工程意义.基于多学科设计优化方法中的并行子空间优化法，提出一种桁架结构布局优化的并行子空间优化方法.将结构布局设计问题按设计变量类型分为布局、形状和尺寸三个并行的子空间，设计变量在各自的子空间内单独优化，各子空间优化结束后，在系统级中协调3类设计变量，保持最小质量的子空间的优化设计变量不变，采用近似一维搜索的方法协调其他子空间的设计变量，然后进行下一次迭代直至收敛.2个算例表明该方法能够取得较好的优化结果，具有实际工程应用价值.

关键词： 桁架,  并行子空间优化方法,  布局优化,  形状优化,  尺寸优化 
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