In this paper, a time-dependent reliability-based double-scale topology optimization (TO) framework considering manufacturability is proposed. The proposed TO model focuses on the structural transient dynamic performance subjected to general dynamic loads. A time-dependent interval non-probabilistic reliability theory based on the idea of first-passage is introduced into the double-scale TO model to assess the structural performance reliability over the time course of interest. To accommodate the gradient algorithm, a portion of the interval process time-dependent reliability metrics are reconstructed in this paper. Combined with a density-projection length scale control method, a weight reduction concurrent TO process for double-scale structures considering structural dynamic compliance and manufacturability is constructed. Several numerical examples are presented to illustrate the performance and applicability of the proposed TO methodology.

中文翻译：

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基于首次失效和区间过程理论的双尺度瞬态可靠拓扑优化

在本文中，提出了一种考虑可制造性的基于时间依赖可靠性的双尺度拓扑优化 （TO） 框架。所提出的 TO 模型侧重于承受一般动态载荷的结构瞬态动态性能。在双尺度 TO 模型中引入了基于首次通道思想的时间依赖性区间非概率可靠性理论，以评估相关时间过程中的结构性能可靠性。为了适应梯度算法，本文重建了一部分区间过程时间依赖性可靠性指标。结合密度投影长度尺度控制方法，构建了考虑结构动力学柔和可制造性的双尺度结构的减重并行 TO 过程。给出了几个数值示例来说明所提出的 TO 方法的性能和适用性。