Optimal chordwise stiffness distribution for self-propelled heaving flexible plates
Optimal chordwise stiffness distribution for self-propelled heaving flexible plates
复制标题
自航式垂荡柔性板的最佳弦向刚度分布
DOI：
10.1063/5.0029806
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发表时间：
2020-11-01
影响因子：
4.6
通讯作者：
Lu, Xi-Yun
中科院分区：
文献类型：
--
作者：
Wang, Wenjiang;Huang, Haibo;Lu, Xi-Yun
数值研究了非均匀弦向刚度分布对三维柔性板自推进性能的影响。一些典型的刚度分布，包括均匀，下降，和增长分布，被认为是。首先推导了归一化弯曲刚度K，它能很好地表征非均匀板的整体弯曲刚度。对于不同的非均匀分布的板，具有相同的K，在挥舞过程中的板的后缘和前缘之间的最大位移差几乎是相同的。存在一个共同的最佳K，在该K下所有板实现其最佳性能，即，最高的巡航速度和效率。其次，我们揭示了什么样的非均匀分布可能是最好的在一个特定的K方面的推进性能。受力分析表明，随着分布的增加，前半部分的弯曲变形越大，推力越大。因此，优选沿着前柔性板的大的局部斜率沿着以增强推进性能。本研究的结果对于进一步了解流体动力学对动物非均匀刚度翼或鳍自推进的影响有一定的参考价值。
The effect of non-uniform chordwise stiffness distribution on the self-propulsive performance of three-dimensional flexible plates is studied numerically. Some typical stiffness distributions, including uniform, declining, and growing distribution, are considered. First, the normalized bending stiffness K is derived, which can well represent the overall bending stiffness of the non-uniform plates. For different non-uniformly distributed plates with the same K, the maximum displacement difference between the trailing and leading edges of the plate during the flapping is almost identical. There exists a common optimal K at which all the plates achieve their optimal performance, i.e., the highest cruising speed and efficiency. Second, we reveal what kind of non-uniform distribution could be the best at a specific K in terms of the propulsive performance. The force analysis indicates that a larger bending deformation in the anterior part for the growing distribution leads to a larger thrust. Hence, the large local slope along the anterior flexible plate is preferred to enhance the propulsive performance. The results obtained in this study may shed some light on a better understanding of the hydrodynamic effect on the self-propulsion of the non-uniform stiffness wings or fins of animals.