A new approach to variable-topology shape design using a constraint on perimeter
A new approach to variable-topology shape design using a constraint on perimeter
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DOI：
10.1007/bf01279647
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
R. Haber;C. Jog;M. Bendsøe
中科院分区：
文献类型：
--
作者：
R. Haber;C. Jog;M. Bendsøe
本文介绍了一种弹性结构变拓扑形状优化设计的方法--周长法。对结构实体部分周长的上限约束确保了适定性设计问题。周长约束允许设计者控制最优设计中的孔的数量，并建立其特征长度尺度。有限元实现产生的实际设计是收敛的网格细化。因此，可以实现任意级别的几何分辨率，因此可以进行拓扑设计和详细形状设计的单步程序。周界法消除了松弛的需要，从而规避了其他拓扑设计方法的许多复杂性和限制。
This paper introduces a method for variable-topology shape optimization of elastic structures called theperimeter method. An upper-bound constraint on the perimeter of the solid part of the structure ensures a well-posed design problem. The perimeter constraint allows the designer to control the number of holes in the optimal design and to establish their characteristic length scale. Finite element implementations generate practical designs that are convergent with respect to grid refinement. Thus, an arbitrary level of geometric resolution can be achieved, so single-step procedures for topology design and detailed shape design are possible. The perimeter method eliminates the need for relaxation, thereby circumventing many of the complexities and restrictions of other approaches to topology design.