A hybrid optimal synthesis method for truss structures considering shape, material and sizing variables
A hybrid optimal synthesis method for truss structures considering shape, material and sizing variables
复制标题
考虑形状、材料和尺寸变量的桁架结构混合优化合成方法
DOI：
10.1002/nme.1620340310
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发表时间：
1992
影响因子：
2.9
通讯作者：
K. Asai
中科院分区：
文献类型：
--
作者：
S. Ohkubo;K. Asai
本文提出了一种以杆单元的节点坐标、截面面积和离散材料种类为设计变量的桁架结构广义杂交优化综合方法。主要的设计问题制定的形状，材料和尺寸变量和近似的凸和可分离的子问题序列，通过使用混合的直接/互惠设计变量。每个子问题的解决，其中连续的形状和尺寸变量优化的牛顿型算法和离散的材料和连续的尺寸变量的离散灵敏度分析得到改善的对偶方法。使用所提出的方法，离散的材料种类，形状和尺寸变量可以系统地改善，以获得最佳的解决方案。将该方法应用于应力和位移约束桁架的最小成本设计，证明了该方法的严密性、可靠性和有效性。
A generalized hybrid optimal synthesis method is developed for truss structures in which the design variables are the co-ordinates of the panel points, cross-sectional areas and discrete material kinds of member elements. The primary design problem is formulated in terms of the shape, material and sizing variables and approximated to a sequence of convex and separable subproblems by using mixed direct/reciprocal design variables. Each subproblem is solved by a dual method in which the continuous shape and sizing variables are optimized by a Newton-type algorithm and the discrete material and continuous sizing variables are improved by a discrete sensitivity analysis. Using the proposed method, discrete material kinds, shape and sizing variables can be systematically improved to obtain an optimum solution. The rigourness, reliability and efficiency of the method are demonstrated by applying it to the minimum cost design of trusses subjected to stress and displacement constraints.