Loading Magnitude Uncertainty in Level-Set Based Topology Optimization
Loading Magnitude Uncertainty in Level-Set Based Topology Optimization
复制标题
基于水平集的拓扑优化中的载荷大小不确定性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
G. Mullineux
中科院分区：
文献类型：
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作者：
Peter D. Dunning;H. Kim;G. Mullineux
工程环境通常是复杂的，这给设计过程带来了不确定性。因此，在结构设计和优化过程中应考虑不确定性，以产生鲁棒和可靠的解决方案。提出了一种基于期望柔度最小化的不确定性拓扑优化方法。一个简单而有效的配方开发，以解决这个问题的不确定性下的负载大小。该公式被应用到水平集方法和说明性的例子表明，更强大的结构相比，确定性的解决方案，可以得到。
Engineering environments are often complex, which introduces uncertainty into the design process. Thus, uncertainties should be considered during design and optimization of structures to produce robust and reliable solutions. This paper presents topology optimization with uncertainty by minimizing expected compliance. A simple and efficient formulation is developed to solve this problem under uncertainty in loading magnitude. The formulation is applied to the level set method and illustrative examples demonstrate that more robust structures can be obtained compared to the deterministic solutions.