Spectra of turbulent fluctuations of Euler angles of unmanned aerial vehicles in the altitude holding mode

Alexander P. Shelekhov; Aleksey L. Afanasiev; Alexey A. Kobzev; Olga S. Chupina; Alexey E. Tel’minov; Evgeniya A. Shelekhova

doi:10.1117/12.2576773

12 November 2020 Spectra of turbulent fluctuations of Euler angles of unmanned aerial vehicles in the altitude holding mode

Alexander P. Shelekhov, Aleksey L. Afanasiev, Alexey A. Kobzev, Olga S. Chupina, Alexey E. Tel’minov, Evgeniya A. Shelekhova

Author Affiliations +

Proceedings Volume 11560, 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics; 115605H (2020) https://doi.org/10.1117/12.2576773
Event: 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, 2020, Moscow, Russian Federation

Abstract

The turbulent power spectra of Euler angles are studied. The results of their comparison with the spectra of turbulent fluctuations of wind velocity components in the atmosphere are present. Equations are derived for estimating the horizontal wind components as a function of the means and fluctuation components of Euler angles. Time series of turbulent fluctuations in pitch, roll, and yaw angles, as well as time series of turbulent fluctuations of wind velocity components are obtained during an experiment, which was carried out at Geophysical Observatory of IMCES SB RAS in Tomsk Akademgorodok (Russia). The time series of Euler angles and wind speeds were recorded with a frequency of 10 Hz. The automated weather station data witness anisotropy of turbulent flow speed fluctuations during the measurements in the atmosphere: the spectra of fluctuations of the horizontal components coincide, but differ from the spectrum of vertical fluctuations. The fluctuations of the Euler angles show similar behavior: the spectra of fluctuations of pitch and roll angles coincide, but differ from the spectrum of fluctuations of the yaw angle. The spectra of fluctuations of pitch and roll angles and the spectra of fluctuations of the horizontal wind velocity components generally coincide, though differences are observed in the high-frequency region of the spectrum. In contrast to fluctuations of pitch and roll angles, the spectrum of fluctuations of the yaw angle coincides with the spectrum of the vertical wind velocity component in the high-frequency region.

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Alexander P. Shelekhov, Aleksey L. Afanasiev, Alexey A. Kobzev, Olga S. Chupina, Alexey E. Tel’minov, and Evgeniya A. Shelekhova "Spectra of turbulent fluctuations of Euler angles of unmanned aerial vehicles in the altitude holding mode", Proc. SPIE 11560, 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, 115605H (12 November 2020); https://doi.org/10.1117/12.2576773

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