This work aims to optimize the multi-material structures subjected to self-weight loading for the first time. Ignoring the self-weight loads results in less reliable designs, and to enhance the strength of optimized designs, stress-constrained multi-material topology optimization (MMTO) is considered with body forces. Two stress constraint aggregation schemes are employed and comparable, such as the K-S and p-norm aggregation schemes. Both of these schemes are effective with respect to stress constraints due to local stress issues. Moreover, eigenvalue constraints (MMTO) are introduced in this study with self-weight loading and stress constraints. Thus, the optimized results not only ensure self-weight load criteria but also reduce stress concentration and improve stability due to free vibration of structures. The proposed approach is an alternating-active-phase algorithm (AAPA) for dealing with the problems considered in this work. Results show that the results caused by self-weight loads are totally different from optimized results when they are not considered with self-weight loads using multi-materials.

中文翻译：

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自重载荷作用下应力和动力学约束的多相材料的拓扑优化框架


这项工作旨在首次优化承受自重载荷的多材料结构。忽略自重载荷会导致设计可靠性降低，为了提高优化设计的强度，考虑了应力约束的多材料拓扑优化 （MMTO） 和体力。采用两种应力约束聚合方案且具有可比性，例如 K-S 和 p-norm 聚合方案。这两种方案对于由于局部应力问题引起的应力约束都是有效的。此外，本研究引入了具有自重载荷和应力约束的特征值约束 （MMTO）。因此，优化的结果不仅确保了自重载荷准则，而且由于结构的自由振动，减少了应力集中并提高了稳定性。提出的方法是交替-主动阶段算法 （AAPA），用于处理这项工作中考虑的问题。结果表明，当不考虑使用多材料的自重载荷时，由自重载荷引起的结果与优化结果完全不同。