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A novel reliability-based two-level optimization method for composite laminated structures

机译：基于可靠性的复合层合结构两级优化方法

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摘要

Due to the existence of large number of design variables for large-scale composite laminated structures, such as ply thicknesses and stacking sequence, etc., it has become one of most important concerns to build an efficient optimization design method for composites. In this paper, the purpose is to propose a novel reliability-based two-level optimization design method including thickness and stacking sequence optimizations, where uncertain parameters of composites are taken into account for reliability evaluation. Firstly, by characterizing existing uncertain parameters of composites as random or interval variables, one can carry out uncertainty analysis for structural responses. Then the evaluation models of probabilistic and non-probabilistic reliabilities are separately introduced when treating uncertainties as random and interval variables. Furthermore, by combining the reliabilities with the two-level optimization model, a novel reliability-based two-level optimization model is advanced and the detailed optimization procedures are listed for convenience of understanding. Lastly, two numerical examples including a simple-supported composite plate and a composite wingtip of aerospace plane are given out to demonstrate the validity and availability of the proposed method. The results show that the proposed method can be successfully and efficiently applied in the optimization design of composite structures.
机译：由于存在大量的用于层状复合材料叠层结构的设计变量，例如层厚度和堆叠顺序等，因此，建立一种有效的复合材料优化设计方法已成为最重要的问题之一。本文旨在提出一种新的基于可靠性的二级优化设计方法，包括厚度和堆垛顺序优化，其中考虑了复合材料的不确定性参数进行可靠性评估。首先，通过将复合材料的现有不确定参数表征为随机变量或区间变量，可以对结构响应进行不确定性分析。然后，在将不确定性视为随机变量和区间变量时，分别引入了概率和非概率可靠性评估模型。此外，通过将可靠性与两级优化模型相结合，提出了一种基于可靠性的新型两级优化模型，并列出了详细的优化过程以方便理解。最后，给出了两个数值例子，包括简单支撑的复合材料板和航空航天飞机的复合翼尖，以证明该方法的有效性和实用性。结果表明，该方法可以成功，有效地应用于复合结构的优化设计中。

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