Optimization of branching structures for free-form surfaces using force density method
Optimization of branching structures for free-form surfaces using force density method
复制标题
使用力密度法优化自由曲面的分支结构
DOI：
10.1080/13467581.2021.1928509
复制
发表时间：
2021
影响因子：
1.3
通讯作者：
M. Ohsaki
中科院分区：
文献类型：
--
作者：
Bao;Jingyao Zhang;M. Ohsaki
分支结构在支撑大跨度结构（如自由形式的屋顶）方面是机械有效的。为了支持一个特定的几何形状的屋顶，我们提出了一种新的形状和拓扑优化方法来找到最佳的分支结构。在所提出的方法中，分支结构被建模为一个索网，而来自屋顶的反力作为外部载荷。构件的力密度是设计变量。最优分支结构可以通过最小化几个目标函数之一来获得。用节点坐标表示的分支结构的形状通过求解线性平衡方程来确定。拓扑结构的优化是通过删除小轴向力的成员，并纳入密集的节点。如果指定了许用应力，则可以很容易地计算横截面积。因此，同时优化分支结构的横截面、形状和拓扑结构是非常方便的。数值算例表明，该方法可以方便地应用于二维问题。对于3D问题，应该放松对反作用力的约束。将顶板支架作为变量也是解决三维问题的有效方法。图形摘要
ABSTRACT Branching structures are mechanically efficient in supporting large-span structures, such as free-form roofs. To support a roof with a specified geometry, we present a novel shape and topology optimization method to find the optimal branching structure in this paper. In the proposed method, the branching structure is modelled as a cable-net, while the reaction forces from the roof are taken as external loads. The force densities of the members are the design variables. The optimal branching structure can be obtained by minimizing one of the several proposed objective functions. The shape of the branching structure represented by the nodal coordinates is determined by solving the linear equilibrium equations. The topology is optimized by removing the members with small axial forces and incorporating the closely spaced nodes. The cross-sectional areas can be easily calculated, if the allowable stress is assigned. Hence, it is very convenient to simultaneously optimize the cross-section, shape, and topology of a branching structure. Numerical examples show that this method can be easily applied to a 2D problem. For a 3D problem, the constraints on the reaction forces should be relaxed. Considering the roof supports as variables is also an effective solution for 3D problems. Graphical Abstract
用于张拉结构形状查找的 Extercec 力密度法
影响因子：
0.8
作者：
Miki;M.;Kawaguchi;K
通讯作者：
K