A new node-shifting method for shape optimization of reticulated spatial structures
A new node-shifting method for shape optimization of reticulated spatial structures
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DOI：
10.1016/j.engstruct.2017.09.051
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发表时间：
2017-12
影响因子：
5.5
通讯作者：
C. Ding;H. Seifi;S. Dong;Y. Xie
中科院分区：
文献类型：
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作者：
C. Ding;H. Seifi;S. Dong;Y. Xie
空间结构的受力性能受结构构型的影响很大。本文提出了一种广义形状优化算法来提高结构的刚度。在优化过程中，节点坐标被视为设计变量。在每次迭代中，基于灵敏度分析，所有自由节点沿沿着某些方向移动以减小柔度。一个体积调整计划，以满足体积约束。锯齿状表面在体积调整过程中自动平滑，因此不需要额外的平滑过程。各种二维和三维的例子来验证所提出的方法的有效性和有效性。结果表明，本文提出的节点位移法可用于求解一般空间网格结构的最优形状，包括传统反悬挂法难以求解的带悬挑部分的空间网格结构。
The mechanical performance of a spatial structure is strongly influenced by the structural configuration. A generalized shape optimization algorithm is proposed to enhance the structure’s stiffness in this paper. The nodal coordinates are treated as the design variables during the optimization process. At each iteration, based on the sensitivity analysis all the free nodes are moved along certain directions to reduce the compliance. A volume adjustment scheme is applied to satisfy the volume constraint. Jagged surfaces are automatically smoothed during the volume adjustment process and therefore no extra smoothing procedure is needed. A variety of 2D and 3D examples are presented to verify the effectiveness and the validity of the proposed method. It is shown that the new node-shifting method developed in this paper can be used for finding optimal shapes of general reticulated spatial structures including those with cantilevered parts where traditional inverse hanging method would fail.