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剪切作用下悬臂复合板的并行铺层与变锥度优化

Concurrent Lamination and Tapering Optimization of Cantilever Composite Plates under Shear.

作者信息

Serhat Gokhan

机构信息

Max Planck Institute for Intelligent Systems, Heisenbergstr. 3, 70569 Stuttgart, Germany.

出版信息

Materials (Basel). 2021 Apr 28;14(9):2285. doi: 10.3390/ma14092285.

DOI:10.3390/ma14092285
PMID:33925038
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8124230/
Abstract

The operational performance of cantilever composite structures can benefit from both stiffness tailoring and geometric design, yet, this potential has not been fully utilized in existing studies. The present study addresses this problem by simultaneously optimizing layer and taper angles of cantilever laminates. The design objective is selected as minimizing the average deflection of the tip edge subjected to shear loads while keeping the length and total volume constant. The plate stiffness properties are described by lamination parameters to eliminate the possible solution dependency on the initial assumptions regarding laminate configuration. The responses are computed via finite element analyses, while optimal design variables are determined using genetic algorithms. The results demonstrate that the plate aspect ratio significantly influences the effectiveness of stiffness tailoring and tapering as well as the optimal layer and taper angles. In addition, concurrent exploitation of the lamination characteristics and plate geometry is shown to be essential for achieving maximum performance. Moreover, individual and simultaneous optimization of layer and taper angles produce different optimal results, indicating the possible drawback of using sequential approaches in similar composite design problems.

摘要

悬臂复合结构的运行性能可从刚度定制和几何设计中受益,然而,这一潜力在现有研究中尚未得到充分利用。本研究通过同时优化悬臂层合板的层数和锥角来解决这一问题。设计目标选定为在保持长度和总体积不变的情况下,使承受剪切载荷的尖端边缘的平均挠度最小化。通过层合参数描述板的刚度特性,以消除可能因对层合板构型的初始假设而产生的解的依赖性。通过有限元分析计算响应,同时使用遗传算法确定最佳设计变量。结果表明,板的长宽比对刚度定制和变锥度的有效性以及最佳层数和锥角有显著影响。此外,同时利用层合特性和板的几何形状对于实现最大性能至关重要。而且,层数和锥角的单独优化和同时优化会产生不同的最佳结果,这表明在类似的复合材料设计问题中使用顺序方法可能存在缺陷。

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引用本文的文献

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本文引用的文献

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Comparison between Deflection and Vibration Characteristics of Rectangular and Trapezoidal profile Microcantilevers.矩形和梯形微悬臂梁的挠度和振动特性比较。
Sensors (Basel). 2009;9(4):2706-18. doi: 10.3390/s90402706. Epub 2009 Apr 16.