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Combined Topology and Fiber Path Optimization of Fiber-Reinforced Composites

机译:纤维增强复合材料的组合拓扑和光纤路径优化

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This paper presents a study on the model and solution algorithm for determining optimum composite topology and fiber path.Nodal design variables are used in the formulations, including variable for the fiber orientations at the nodal points and those for the material densities.A 4-noded hybrid stress element is presented to analyze the 2D composite with variable material density and fiber orientation. Total volumes of the fiber and the matrix material used can be considered as either the objective or a constraint function.In this study, the compliance of the composite under static loads is taken as the objective function. The method of moving asymptotes (MMA) is employed at the optimizer.Explicit expressions for the sensitivities of all the constraint and objective functions are derived.Numerical studies are conducted to evaluate the validity of the optimization model and effectiveness of the algorithm.It is shown that structures with clear topologies and reasonable fiber paths can be obtained.
机译:本文介绍了用于确定最佳复合拓扑拓扑和光纤路径的模型和解决方案算法的研究。制剂中使用了裸装设计变量,包括聚节节点的纤维取向的变量,以及材料密度的变化。4-编号提出了混合应力元件以分析具有可变材料密度和纤维取向的2D复合材料。使用的纤维总量和使用的基质材料可以被认为是目标或约束函数。在本研究中,将复合材料根据静态载荷的顺应作为目标函数。在优化器中采用移动渐近体(MMA)的方法。衍生出所有约束和目标函数的敏感性的尖刻表达式。进行了数值研究以评估算法的优化模型和有效性的有效性。它显示了可以获得具有清晰拓扑和合理纤维路径的结构。

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