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复杂结构优化设计的二级多点逼近方法
引用本文:黄海,夏人伟.复杂结构优化设计的二级多点逼近方法[J].航空学报,1994,15(7):780-786.
作者姓名:黄海  夏人伟
作者单位:北京航空航天大学宇航学院,北京,100083
摘    要:提出了一种独特的多元逼近函数,它具有良好数值稳定性和直观意义。该逼近函数结合二级多点逼近概念形成了更完善的相应优化算法。将本文方法用于梁结构优化设计,且直接选取梁剖面细节尺寸作为设计变量而不引入特殊的中间变量。算例表明,本文方法具有令人满意的计算效率,从而也验证了方法的广泛适用性。

关 键 词:结构优化  数值逼近  优化方法  
收稿时间:1992-12-21
修稿时间:1993-04-25

TWO-LEVEL MULTI-POINT APPROXIMATING METHOD FOR OPTIMUM DESIGN OF COMPLICATED STRUCTURES
Huang Hai, Xia Renwei.TWO-LEVEL MULTI-POINT APPROXIMATING METHOD FOR OPTIMUM DESIGN OF COMPLICATED STRUCTURES[J].Acta Aeronautica et Astronautica Sinica,1994,15(7):780-786.
Authors:Huang Hai  Xia Renwei
Institution:School of Space Technology, Beijing University of Aeronautics and Astronautics,Beijing, 100083
Abstract:peculiar multi-variable approximate function which has good numerical stability is proposed. By combining the approximate function with the two-level, multi-point approaching concept, a more perfect relative optimum algorithm is formed .The method is applied to optimum design of frames, and without any special intermediate variable,the cross-sectional dimensions of frames are directly selected as design variables.The results of numerical examples show that the present method is of satisfactory efficiency,which also testifies the wide adaptability of the method.
Keywords:structural optimization  numerical approximation  optimum method
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