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ANALYSIS AND OPTIMIZATION OF A SHAPE MEMORY ALLOY-BASED SELF-FOLDING SHEET CONSIDERING MATERIAL UNCERTAINTIES

机译:考虑材料不确定性的基于形状记忆合金的自折叠板的分析与优化

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Origami-inspired active structures have important characteristics such as reconfigurability and the ability to adopt compact flat forms for storage. A self-folding shape memory alloy (SMA)-based laminated sheet is considered in this work wherein SMA wire meshes comprise the top and bottom layers and a thermally insulating compliant elastomer comprises the middle layer. Uncertainty in various parameters (e.g. material properties) may affect the performance of the sheet, which is explored here. Different modeling approaches are studied in order to compare their accuracy and computational cost. A numerical approach based on the Euler-Bernoulli beam theory is selected due to its accuracy when compared to higher fidelity finite element simulations and its low computational cost, necessary to perform a large number of design evaluations as required for uncertainty analysis. Optimization is performed considering uncertainty in the material properties. Failure probabilities under mechanical constraints and expected values of fold curvature and blocking moment are considered during optimization of the self-folding sheet. The multiobjective genetic algorithm for technology char- acterization P3GA is used to obtain the Pareto dominant designs. Most designs forming the Pareto frontier have the same values for certain design parameters such as the distance between the wires in the SMA meshes non-dimensionalized by SMA wire thickness, elastomer layer thickness non-dimensionalized by SMA wire thickness, and applied temperature. The design parameter deciding the trade-off between fold curvature and blocking moment is found to be the SMA wire thickness.
机译:折纸风格的活动结构具有重要的特性,例如可重构性以及采用紧凑的扁平形式进行存储的能力。在这项工作中考虑了一种基于自折叠形状记忆合金(SMA)的层压板,其中SMA丝网包含顶层和底层,而隔热的弹性体则包含中间层。各种参数的不确定性(例如材料特性)可能会影响片材的性能,这将在此处进行探讨。为了比较它们的准确性和计算成本,研究了不同的建模方法。选择基于Euler-Bernoulli束理论的数值方法是因为与较高保真度的有限元模拟相比,它的准确性较高,并且其计算成本较低,这是进行不确定性分析所需的大量设计评估所必需的。考虑材料特性的不确定性进行优化。在自动折叠板的优化过程中,考虑了机械约束条件下的失效概率以及折叠曲率和阻塞力矩的期望值。用于技术表征的多目标遗传算法P3GA用于获得Pareto主导设计。形成帕累托边界的大多数设计对于某些设计参数具有相同的值,例如SMA网格中的线之间的距离(未通过SMA线的粗细来确定尺寸),弹性体层的厚度(未通过SMA线的粗细来确定尺寸)以及所施加的温度。决定折弯曲率和阻滞力矩之间折衷的设计参数被发现是SMA线的厚度。

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