Parameter free shape and thickness optimisation considering stress response
Parameter free shape and thickness optimisation considering stress response
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DOI：
10.1007/s00158-011-0742-8
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发表时间：
2012-06
影响因子：
3.9
通讯作者：
Saartje Arnout;M. Firl;K. Bletzinger
中科院分区：
文献类型：
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作者：
Saartje Arnout;M. Firl;K. Bletzinger
在无参数方法中，基于有限元的数据被用作设计变量，如节点坐标和节点厚度。在形状和厚度优化过程中，这种方法为有限的建模工作提供了很大的设计自由度。然而，应力结果对无参数优化过程中可能发生的局部形状变化非常敏感。当应力结果用作响应函数时，这种不规则性会使优化复杂化。作为一个解决方案，Kreisselmeier-Steinhauser函数的应力作为响应函数的参数自由形状优化。在该函数中，局部应力结果被聚合以获得结构中的应力的全局测量。该措施可用作降低结构中的总应力的目标，或用作将结构中的应力限制到最大允许值的约束。因此，优化的结构是平滑的和材料有效的。本文给出了几个例子来说明无参数设计方法与应力响应函数相结合的使用。
In the parameter free approach, FE-based data are used as design variables, such as nodal coordinates and nodal thickness. During shape and thickness optimisation, this approach provides much design freedom for a limited modelling effort. Stress results are, however, very sensitive to the local shape changes that can occur during parameter free optimisation. When stress results are used as response function, this irregularity can complicate the optimisation. As a solution, the Kreisselmeier-Steinhauser function for the stresses is introduced as a response function for parameter free shape optimisation. In this function, the local stress results are aggregated to obtain a global measure of stress in a structure. This measure can be used as an objective to reduce the overall stress in the structure or as a constraint to limit the stress in the structure to a maximum allowable value. As a result, the optimal structures are smooth and material efficient. Several examples are presented in this paper to illustrate the use of the parameter free design approach in combination with the stress response function.