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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纤维路径优化

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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:本文对确定最佳复合拓扑和纤维路径的模型和求解算法进行了研究,配方中使用了节点设计变量,包括节点处纤维取向的变量和材料密度的变量。提出了混合应力单元来分析具有可变材料密度和纤维取向的二维复合材料。所使用的纤维和基质材料的总体积可以视为目标函数或约束函数。在本研究中,将复合材料在静态载荷下的柔度作为目标函数。在优化器上采用移动渐近线(MMA)的方法,导出了所有约束和目标函数的敏感度的明确表达式,并通过数值研究评估了优化模型的有效性和算法的有效性。可以获得具有清晰拓扑和合理光纤路径的结构。

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