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Theoretical and experimental studies on large deflection analysis of double corrugated cantilever structures
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2021-06-08 , DOI: 10.1016/j.ijsolstr.2021.111126
Deepak Kumar , Shaikh Faruque Ali , A. Arockiarajan

Corrugated structures are made up of panels with periodic profiles. These are used as a compliant mechanism and as core in sandwich plates for their direction dependent stiffness. Modeling and large deflection analysis of corrugated structure play an essential role in their design and application. This work proposes an iterative scheme for the large deflection analysis of double corrugated cantilever structures subjected to end point loads and uniformly varying load using a chain algorithm. The double corrugated structure is modeled by discretizing it into several basic corrugated units. Each basic unit is then split into two halves, and a solution is arrived by using an error minimization. The deflection of each of the halves is obtained, discretizing it into beam elements. Finally, the deflection of the double corrugated structure is calculated by assembling the deflection of each of the basic corrugated units. Furthermore, prototypes of the double corrugated structure are fabricated using aluminum sheets, and a moment actuation test is performed. The deflections of these prototypes obtained using the proposed iterative scheme are compared with ABAQUS and validated with experiments, and the results are found to be in good agreement. An example problem is also solved, demonstrating the practical application of the proposed iterative scheme in the design of a double corrugated variable camber morphing wing with aerodynamic load actuated by the tendon-pulley system.



中文翻译:

双波纹悬臂结构大挠度分析的理论与试验研究

波纹结构由具有周期性轮廓的面板组成。它们被用作柔顺机构和夹层板的核心,因为它们具有方向相关的刚度。波纹结构的建模和大挠度分析在其设计和应用中起着至关重要的作用。这项工作提出了一种迭代方案,用于使用链算法对承受端点载荷和均匀变化载荷的双波纹悬臂结构进行大挠度分析。双波纹结构是通过将其离散为几个基本波纹单元来建模的。然后将每个基本单元分成两半,并通过使用误差最小化来获得解决方案。获得每一半的偏转,将其离散为梁单元。最后,双波纹结构的挠度是通过组装每个基本波纹单元的挠度来计算的。此外,使用铝板制造双波纹结构的原型,并进行力矩驱动测试。使用建议的迭代方案获得的这些原型的挠度与 ABAQUS 进行了比较,并通过实验进行了验证,发现结果非常一致。还解决了一个示例问题,展示了所提出的迭代方案在设计具有由腱-滑轮系统驱动的气动载荷的双波纹可变弯度变形机翼中的实际应用。并进行力矩驱动测试。使用建议的迭代方案获得的这些原型的挠度与 ABAQUS 进行了比较,并通过实验进行了验证,发现结果非常一致。还解决了一个示例问题,展示了所提出的迭代方案在设计具有由腱-滑轮系统驱动的气动载荷的双波纹可变弯度变形机翼中的实际应用。并进行力矩驱动测试。使用所提出的迭代方案获得的这些原型的挠度与 ABAQUS 进行了比较,并通过实验进行了验证,发现结果非常一致。还解决了一个示例问题,展示了所提出的迭代方案在设计具有由腱-滑轮系统驱动的气动载荷的双波纹可变弯度变形机翼中的实际应用。

更新日期:2021-06-19
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