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NURBS-based isogeometric shape and material optimization of curvilinearly stiffened plates with FGMs
Thin-Walled Structures ( IF 6.4 ) Pub Date : 2021-03-02 , DOI: 10.1016/j.tws.2021.107601
X.C. Qin , C.Y. Dong

In this paper, the shape and material optimization problems of the curvilinearly stiffened plates are solved by using the non-uniform rational B-splines (NURBS) based isogeometric analysis (IGA) method. The analytical formulas for calculating the sensitivity of plates and stiffeners are given and applied to shape optimization problems successfully. By designing the coordinates of the control points of the stiffener, the shape of the stiffener can be determined to minimize its flexibility under a certain volume constraint. Then, functionally graded materials (FGMs) are used for curvilinearly stiffened plates. The volume fraction of the constituent materials of FGMs is expressed in the form of polynomial expansions. By designing the coefficients of these polynomial expansions to determine the material distribution, the total volume fraction of some constituent materials under certain displacement and stress constraints is minimized.



中文翻译:

基于NURBS的FGM曲线加筋板的等几何形状和材料优化

本文采用基于非均匀有理B样条(NURBS)的等几何分析(IGA)方法解决了曲线加筋板的形状和材料优化问题。给出了计算板和加劲肋灵敏度的解析公式,并将其成功应用于形状优化问题。通过设计加劲肋控制点的坐标,可以确定加劲肋的形状,以在一定的体积约束下最大程度地减小其柔韧性。然后,将功能渐变材料(FGM)用于曲线加劲板。FGM的组成材料的体积分数以多项式展开的形式表示。通过设计这些多项式展开的系数来确定材料分布,

更新日期:2021-03-02
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