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Stacking-sequence optimization using fractal branch-and-bound method for unsymmetrical laminates

机译：分形分支定界法对不对称层压板的堆垛顺序进行优化

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摘要

The fractal branch-and-bound method has been developed by the authors for stacking-sequence optimizations of symmetric and balanced composite laminates comprise of two in-plane and two out-of-plane lamination parameters. Cylindrical structures such as tanks or pipes, however, are usually made from balanced laminates. In the present study, therefore, we focus on the stacking-sequence optimizations of unsymmetrical composite laminates. In the unsymmetrical laminates, nine lamination parameters including three coupling-lamination parameters exist, and its feasible design region of fractal pattern is unrevealed. The paper clarifies the feasible region in which the in-plane, out-of-plane and coupling lamination parameters create fractal patterns of tetrahedrons or tetradecahedrons. Using the fractal patterns of lamination parameters, the improved fractal branch-and-bound method is proposed for unsymmetrical laminates including coupling lamination parameters. This new method is applied to stacking-sequence optimization problems of maximization of buckling load of cylindrical laminated shells. As a result, the method is successfully applied, and a practical optimal stacking sequence is obtained with low computational cost.
机译：作者开发了分形分支定界方法，以优化对称和平衡复合材料层压板的堆叠顺序，该层压板包含两个平面内和两个平面外层压参数。但是，圆柱形结构（例如水箱或管道）通常由平衡的层压板制成。因此，在本研究中，我们重点研究非对称复合材料层压板的堆叠顺序优化。在非对称层合板中，存在9个层合参数，包括3个耦合层合参数，并且没有揭示其可行的分形图案设计区域。本文阐明了可行的区域，在该区域中，面内，面外和耦合层压参数会创建四面体或十四面体的分形图案。利用层合参数的分形模式，提出了一种针对不对称层合体的改进分形分支定界方法。该新方法应用于圆柱叠层壳屈曲载荷最大化的堆垛顺序优化问题。结果，该方法被成功应用，并且以较低的计算成本获得了实用的最佳堆叠顺序。

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