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Design of fiber-reinforced variable-stiffness composites for different open-hole geometries with fiber continuity and curvature constraints

机译:具有纤维连续性和曲率约束的不同裸眼几何形状的纤维增强可变刚度复合材料的设计

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摘要

In this study, the optimum design of fiber-reinforced composite plates with different hole geometries for various load conditions is investigated. Strain energy/compliance is optimized using three different design methodologies: constant-stiffness (CS), variable-stiffness (VS), and variable-stiffness with least-squares & continuity constraints (LSC). In all the cases, variable-stiffness and LSC designs both reveal better structural performance with reduced compliance and less stress concentrations around the hole in comparison to the optimum constant-stiffness designs. The compliance significantly decreases after optimization especially for the bi-axial loading case. Most importantly, the LSC method allows manufacturable fiber angle distributions that satisfy the maximum curvature limit, making the proposed LSC method applicable to well-established variable-stiffness manufacturing techniques such as 3-D printing and automated fiber placement. The benefits obtained by using variable-stiffness becomes less pronounced as the hole size decreases with respect to the area of the plate. The use of variable-stiffness is found to be more advantageous over shape-optimization methods of constant-stiffness composites. The comparison to the literature findings (Huang a al., 2016) reveals that 13% further reduction in structural compliance with the proposed LSC design method is possible. The proposed design method provides manufacturable variable-stiffness composites with significant improvements in structural performance.
机译:在这项研究中,研究了在各种载荷条件下具有不同孔几何形状的纤维增强复合材料板的最佳设计。应变能/顺应性使用三种不同的设计方法进行了优化:恒定刚度(CS),可变刚度(VS)和具有最小二乘和连续性约束(LSC)的可变刚度。在所有情况下,与最佳恒定刚度设计相比,可变刚度和LSC设计都表现出更好的结构性能,降低了顺应性,并且孔周围的应力集中较小。优化之后,尤其是对于双轴加载情况,柔度显着降低。最重要的是,LSC方法允许满足最大曲率极限的可制造纤维角度分布,从而使所提出的LSC方法适用于成熟的可变刚度制造技术,例如3-D打印和自动纤维放置。随着孔尺寸相对于板的面积减小,通过使用可变刚度获得的益处变得不那么明显。发现使用可变刚度比恒定刚度复合材料的形状优化方法更有利。与文献调查结果的比较(Huang等人,2016)表明,采用拟议的LSC设计方法可将结构顺应性进一步降低13%。所提出的设计方法为可制造的可变刚度复合材料提供了结构性能的显着改善。

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