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Optimal Design of Shape Memory Alloy Composite under Deflection Constraint

机译：挠曲约束下形状记忆合金复合材料的优化设计

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摘要

Shape-adaptive or morphing capability in both aerospace structures and wind turbine blade design is regarded as significant to increase aerodynamic performance and simplify mechanisms by reducing the number of moving parts. The underlying bistable behavior of asymmetric cross-ply composites makes them a suitable candidate for morphing applications. To date, various theoretical and experiential studies have been carried out to understand and predict the bistable behavior of asymmetric laminates and especially the curvature obtained in their stable configurations. However, when the bi-stable composite plate is integrated with shape memory alloy wires to control the curvature and to snap from a stable configuration to the other (shape memory alloy composite, SMAC), the identification of the design parameters, namely laminate edge length, ply thickness and ply orientation, is not straightforward. The aim of this article is to present the formulation of an optimization problem for the parameters of an asymmetric composite laminate integrated with pre-stressed shape memory alloys (SMA) wires under bi-stability and a minimum deflection requirement. Wires are modeled as an additional ply placed at the mid-plane of the composite host plate. The optimization problem is solved numerically in MATLAB and optimal design variables are then used to model the SMAC in ABAQUS™. Finite element results are compared against numerical results for validation.
机译：航空航天结构和风力涡轮机叶片设计中的形状自适应或变形能力被认为对于通过减少活动部件的数量来提高空气动力学性能和简化机构具有重要意义。不对称交叉复合材料的潜在双稳态性能使其成为变形应用的合适候选者。迄今为止，已经进行了各种理论和实验研究以理解和预测不对称层压板的双稳态行为，尤其是在其稳定构型下获得的曲率。但是，当双稳态复合板与形状记忆合金线集成在一起以控制曲率并将其从稳定的构型卡扣到另一个形状记忆合金复合物（SMAC）时，将确定设计参数，即层压板边长层厚度和层方向并非易事。本文的目的是提出一种在双稳定性和最小挠度要求下针对与预应力形状记忆合金（SMA）线集成的不对称复合层压板的参数优化问题的公式。将电线建模为放置在复合主体板中平面的附加层。在MATLAB中用数值方法解决了优化问题，然后使用最佳设计变量对ABAQUS™中的SMAC进行建模。将有限元结果与数值结果进行比较以进行验证。

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