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Design of Fiber-steered Variable-stiffness Laminates Based on a Given Lamination Parameters Distribution

机译:基于给定的层压参数分布的纤维导向可变刚度层压板设计

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摘要

Mechanical properties of fiber-reinforced laminated composite materials are directionally dependent. Contemporary laminated composite design aims to make effective use of these directional properties by means of stacking sequence design, selecting the fiber orientation angle of each ply from a predefined set. Automated fiber-placement (AFP) technology can be used to improve the efficacy of composite materials by means of fiber steering. The variation of fiber orientation angles per ply of the laminate yields a variable stiffness (VS) laminate. For optimization purposes it is attractive to design such laminates in terms of lamination parameters (LP), as the number of design variables per point in the structure can be reduced to as little as four dimensionless variables considering balanced symmetric layups, and because many lay-up optimization problems can be made convex by describing them in terms of LPs. VS laminate design in terms of LP requires the obtained LP distribution to be converted into an actual fiber angle design. In a previous study the authors proposed a method to convert VS laminate designs using LPs into fiber angle designs. This method includes a constraint on in-plane curvature, a manufacturing constraint related to AFP. Thickness build-up will occur due to fiber steering. The amount of thickness build-up that results from the obtained fiber angle designs is discussed here as a function of the constraint on fiber curvature. The streamline analogy is used to obtain an estimate for thickness build-up and to determine fiber paths. A square plate loaded in biaxial compression is used to demonstrate the effect of the in-plane curvature constraint on thickness build-up, and several fiber angle designs, thickness distributions and fiber paths are given for this structure.
机译:纤维增强的层压复合材料的机械性能是方向性的。当代的层压复合材料设计旨在通过堆叠顺序设计有效地利用这些方向性,从预定义组中选择每层的纤维取向角。可以使用自动纤维铺放(AFP)技术通过纤维操纵来提高复合材料的功效。层压板每层的纤维取向角的变化产生可变的刚度(VS)层压板。出于优化目的,就层压参数(LP)而言,设计此类层压板很有吸引力,因为考虑到对称对称铺层,结构中每个点的设计变量的数量可以减少到四个无量纲变量,并且可以通过用LP来描述最优化问题。相对于LP的VS层压板设计需要将获得的LP分布转换为实际的纤维角度设计。在先前的研究中,作者提出了一种使用LP将VS层压板设计转换为纤维角设计的方法。该方法包括对平面内曲率的约束,与AFP相关的制造约束。由于纤维转向,会出现厚度堆积。在此讨论了由获得的纤维角度设计导致的厚度累积量,它是对纤维曲率的约束的函数。流线类比用于获得厚度堆积的估计值并确定纤维路径。使用双向压缩加载的正方形板来演示平面内曲率约束对厚度累积的影响,并为此结构提供了几种纤维角度设计,厚度分布和纤维路径。

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