Helicopter main rotor angular velocity analysis by laser Doppler velocimetry: simulation and experimental results

Amirhossein Barati Sedeh; Pouya Gourani; Vandad Saneinejad; Fatemeh Rezaei

doi:10.1364/AO.58.005009

Applied Optics
Vol. 58,
Issue 18,
pp. 5009-5017
(2019)
•https://doi.org/10.1364/AO.58.005009

Helicopter main rotor angular velocity analysis by laser Doppler velocimetry: simulation and experimental results

Amirhossein Barati Sedeh, Pouya Gourani, Vandad Saneinejad, and Fatemeh Rezaei

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Amirhossein Barati Sedeh, Pouya Gourani, Vandad Saneinejad, and Fatemeh Rezaei, "Helicopter main rotor angular velocity analysis by laser Doppler velocimetry: simulation and experimental results," Appl. Opt. 58, 5009-5017 (2019)

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Abstract

In this paper, the three different motions of a helicopter blade are studied by the laser Doppler velocimetry (LDV) technique. Consequently, a calculation is performed by utilizing the Simulink simulation of Matlab software. All noises, including optical, electrical circuit, and experimental environment noises, are considered. Furthermore, the temporal and frequency behavior of the final signal are illustrated for uniform rotation of the helicopter blade. The results demonstrate that there is acceptable agreement between the frequencies calculated by the theoretical, simulation, and experimental analyses, which shows the capability of LDV in measurement of helicopter main rotor angular velocity.

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Equations (19)

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Parameters	Magnitude (1)	Magnitude (2)	Magnitude (3)
Input angular velocity, $U_{NET}$ (rad/s)	30	40	50
Theoretical input vibrational velocity, $v$ (m/s)	165	220	275
Input vibrational frequency, $f_{d}$ (Hz)	$5.61 E + 08$	$7.35 E + 08$	$9.09 E + 08$
Simulink prediction for frequency, $f_{d}^{'}$ (Hz)	$5.22 E + 08$	$6.83 E + 08$	$8.62 E + 08$
Relative error (%)	6.95	7.07	5.17

Parameters	Magnitude (1)	Magnitude (2)	Magnitude (3)
Input angular velocity, $U_{NET}$ (rad/s)	30	40	50
Theoretical input vibrational velocity, $v$ (m/s)	225	300	375
Input vibrational frequency, $f_{d}$ (Hz)	$7.51 E + 08$	$9.88 E + 08$	$1.22 E + 08$
Simulink prediction for frequency, $f_{d}^{'}$ (Hz)	$7.02 E + 08$	$9.44 E + 08$	$1.18 E + 09$
Relative error (%)	6.52	4.45	3.27

Parameters	Magnitude (1)	Magnitude (2)	Magnitude (3)
Input angular velocity, $U_{NET}$ (rad/s)	30	40	50
Theoretical input vibrational velocity, $v$ (m/s)	165	220	275
Input vibrational frequency, $f_{d}$ (Hz)	$5.61 E + 08$	$7.35 E + 08$	$9.09 E + 08$
Simulink prediction for frequency, $f_{d}^{'}$ (Hz)	$5.22 E + 08$	$6.83 E + 08$	$8.62 E + 08$
Relative error (%)	6.95	7.07	5.17

Parameters	Magnitude (1)	Magnitude (2)	Magnitude (3)
Input angular velocity, $U_{NET}$ (rad/s)	30	40	50
Theoretical input vibrational velocity, $v$ (m/s)	225	300	375
Input vibrational frequency, $f_{d}$ (Hz)	$7.51 E + 08$	$9.88 E + 08$	$1.22 E + 08$
Simulink prediction for frequency, $f_{d}^{'}$ (Hz)	$7.02 E + 08$	$9.44 E + 08$	$1.18 E + 09$
Relative error (%)	6.52	4.45	3.27

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Equations (19)

Applied Optics