Explicit structural topology optimization using moving wide Bezier components with constrained ends
Explicit structural topology optimization using moving wide Bezier components with constrained ends
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DOI：
10.1007/s00158-021-02853-y
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发表时间：
2021-02-19
影响因子：
3.9
通讯作者：
Nishiwaki, Shinji
中科院分区：
文献类型：
--
作者：
Zhu, Benliang;Wang, Rixin;Nishiwaki, Shinji
本文提出了一种利用移动带约束端点的宽Bezier元件的结构拓扑优化方法。该方法将由具有一定宽度的Bezier曲线确定的元件作为设计单元。这些宽Bezier曲线通过使用水平集函数来表示。以宽Bezier曲线的控制点作为设计变量。此外，基于该原理，为了形成一个单一连接的承载结构，必须连接加载、支撑和/或一些其他功能相互作用。这是通过约束所利用的宽贝塞尔曲线的端部来实现的，这可以基本上避免任何结构上无效的设计，从而使优化过程平滑。最后，以机构的刚度和柔顺性设计为例，验证了该方法的有效性。
This paper presents a structural topology optimization method using moving wide Bezier components with constrained ends. In the proposed method, components which are determined by using Bezier curves with a certain width are regarded as design units. These wide Bezier curves are represented by using level set functions. The control points of such wide Bezier curves are taken as design variables. In addition, based on that principle, in order to form one single connected load-bearing structure, the loading, supporting, and/or some other functional interactions must be connected. This is achieved by constraining the ends of the utilized wide Bezier curves which can essentially avoid any structurally invalid designs and thereby smooth the optimization process. The validity of the proposed method is tested on the stiffness and the compliant mechanisms design problem.