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Entropy and fractal perspectives of a flapping wing subjected to gust
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering ( IF 1.0 ) Pub Date : 2021-03-11 , DOI: 10.1177/0954410021993297
Manabendra M De 1 , Jaideep S Mathur 1 , Sankaranarayanan Vengadesan 2, 3
Affiliation  

Studies on entomopter’s performance under the influence of gust have received impetus in the past decade. There exists a dire need to ascertain the threshold of the frontal gusty conditions which would destabilize these anthropogenic flyers. This would help to devise methods to mitigate the detrimental effects of gust. In light of this aspect, the present study aims at analyzing the onsets of instability in a flapping wing system subjected to temporal gust by employing recurrence period density entropy (RPDE) and detrended fluctuation analysis (DFA). Simulation of the flapping wing along inclined stroke is carried out for a Reynolds number of 150. This Reynolds number lies in the typical operating regime of fruit flies and entomopters like the Pico aerial vehicle. Numerical simulations are carried out to solve the laminar, unsteady, and incompressible Navier–Stokes equations. The dynamic meshing technique is employed to model flapping kinematics. Nine gusts with a combination of frequency and velocity ratios of 0.1, 0.5, and 1.0 are considered. Instantaneous horizontal and vertical forces are estimated. Time series of these forces are analyzed using RPDE and DFA paradigms. These analyses indicate that gust frequency of an order of magnitude higher than flapping frequency and gust amplitude of the order of magnitude as the wing’s root mean square velocity induces a possible onset of instability.



中文翻译:

阵风拍打的机翼的熵和分形透视

在过去的十年中,对在阵风的影响下对直升飞机性能的研究得到了推动。迫切需要确定使这些人为飞行物不稳定的额头阵风条件的阈值。这将有助于设计减轻阵风有害影响的方法。鉴于此,本研究旨在通过采用递归周期密度熵(RPDE)和去趋势波动分析(DFA)分析遭受短暂阵风的襟翼系统的不稳定性。雷诺数为150时,将对沿着倾斜行程的襟翼进行仿真。该雷诺数取决于果蝇和直升飞机(如Pico飞行器)的典型运行方式。进行了数值模拟,以解决层流,不稳定,和不可压缩的Navier–Stokes方程。动态网格划分技术用于拍打运动学建模。考虑频率和速度比为0.1、0.5和1.0的九个阵风。估计瞬时水平和垂直力。使用RPDE和DFA范式分析了这些力的时间序列。这些分析表明,由于机翼的均方根速度,阵风频率比扑翼频率高一个数量级,阵风振幅比数量级高,这可能导致不稳定。使用RPDE和DFA范式分析了这些力的时间序列。这些分析表明,由于机翼的均方根速度,阵风频率比扑翼频率高一个数量级,阵风振幅比数量级高,这可能导致不稳定。使用RPDE和DFA范式分析了这些力的时间序列。这些分析表明,由于机翼的均方根速度,阵风频率比扑翼频率高一个数量级,阵风振幅比数量级高,这可能导致不稳定。

更新日期:2021-03-11
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