Snapthrough response of an innovative symmetric bistable composite wing  

创新型对称双稳态复合材料翼的快速翻转响应研究

作　　者：Sara Hijazi Samir Emam 

机构地区：[1]Department of Mechanical Engineering,American University of Sharjah,Sharjah PO Box 26666,United Arab Emirates

出　　处：《Acta Mechanica Sinica》2024年第9期68-82,共15页力学学报（英文版）

基　　金：supported by the Project of American University of Sharjah(Grant No.FRG21-M-E92).

摘　　要：This study presents a numerical investigation into the equilibrium shapes and snapthrough response of an innovative bistable symmetric composite wing.The proposed design is a compound plate that consists of a symmetric flat platform followed by a winglet that utilizes the modified hybrid bistable symmetric laminate recently developed in the reference.The hybrid layup of the winglet resolves the issue of losing the bistability of the unsymmetric laminate when attached to another structure.An approximate analytical model based on the Rayleigh-Ritz method is developed for the compound plate that considers the geometric nonlinearity,the clamping conditions at the wing root,and the compatibility conditions at the interface.The static equilibrium positions predicted by the model were verified against the ABAQUS finite element(FE)results and an excellent agreement was obtained.The influence of the geometrical and material parameters of the proposed design on the static equilibrium shapes and the snapthrough response was examined.The following parameters were considered:the length ratio of the flat plate to the bistable winglet,the thickness and location of the bidirectional glass epoxy layers,the load location,and the wing’s taperness and aspect ratio.All parameters were found significant,and their effects were discussed.The novelty of this work is that it presents the equilibrium shapes and the snapthrough response of a bistable laminate as a part of a bigger compliant structure,which mimics the scenario in real-life applications.本文通过数值研究,探讨了一种创新设计的双稳态对称复合材料翼的平衡形状和快速翻转响应.该设计是由一个对称的平板和一个带有小翼尖的复合板组成,后者采用了文献中新近提出的改进型混合双稳态对称层压板.小翼尖的混合铺层解决了非对称层压板在连接到另一个结构时失去双稳态的问题.基于Rayleigh-Ritz方法,为复合板开发了一个考虑几何非线性、翼根处的夹紧条件以及界面处兼容性条件的近似分析模型.该模型预测的静态平衡位置与ABAQUS有限元结果进行了验证,取得了非常好的一致性.研究还考察了所提设计中的几何和材料参数对静态平衡形状和快速翻转响应的影响.考虑了以下参数:平板与双稳态小翼尖的长度比、双向玻璃纤维环氧层厚度及其位置、载荷作用位置以及翼展的锥度和展弦比.研究发现所有这些参数都具有显著影响,并对其效应进行了讨论.这项工作的新颖之处在于,它将双稳态层压板作为更大柔性结构的一部分来呈现其平衡形状和快速翻转响应,模仿了实际应用中的情景.

关 键 词：Compound laminate Bistable wing Hybrid symmetric laminates Snapthrough 

分 类 号：O17[理学—数学]