This article proposes an uncertainty‐oriented double‐scale topology optimization method considering macroreliability limitation and micromanufacturing control. The procedure combines the homogenization method to solve the equivalent elastic property of the microstructure, the feature distance theory to evaluate reliability, a density projection for manufacturability control, and the solid isotropic material with penalization model to suppress intermediate density. To coupling the micro–macro scale, the equivalent elastic property of the cell microstructure is evaluated by the numerical homogenization method and then endowed to the macroelement for finite element analysis. Uncertainty factors existed in optimization parameters are evaluated by the interval convex set model. By utilizing the interval parameter vertex method and the feature distance theory, the reliability of displacement constraint in the optimization model is evaluated and constrained. In terms of length scale control, the microdensity design variables are projected by a threshold function to obtain a clear microstructure that satisfies the preset minimum length scale constraint. Finally, three numerical examples are presented to illustrate the effect of micromanufacturing control, as well as the necessity of considering parameter uncertainty.

中文翻译：

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面向不确定性的双尺度拓扑优化，具有宏观可靠性限制和微制造控制

本文提出了一种基于宏观可靠性限制和微制造控制的面向不确定性的双尺度拓扑优化方法。该程序结合了均质化方法以解决微观结构的等效弹性特性，特征距离理论以评估可靠性，密度投影以进行可制造性控制以及固态各向同性材料与惩罚模型来抑制中间密度。为了耦合微观宏观尺度，通过数值均化方法评估细胞微观结构的等效弹性，然后将其赋予宏观元素以进行有限元分析。通过区间凸集模型对优化参数中存在的不确定性因素进行评估。利用区间参数顶点法和特征距离理论，对优化模型中位移约束的可靠性进行了评估和约束。在长度标度控制方面，通过阈值函数投影微密度设计变量以获得满足预设最小长度标度约束的清晰的微观结构。最后，给出了三个数值示例来说明微制造控制的效果以及考虑参数不确定性的必要性。