Phase lag (rotorcraft)

For the discussion of the shift between phasors or sine waves, see Phase shift.

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In the aerodynamics of rotorcraft like helicopters, phase lag refers to the angular difference between the point at which a control input to a rotor blade occurs and the point of maximum displacement of the blade in response to that control input. This displacement occurs in the direction of rotor rotation. Phase lag may vary depending on rotor tilt rate, ratio of aerodynamic damping to blade inertial forces (Lock number), offset of flapping hinge from axis of rotation (e/R ratio), and coupling of blade flap, drag, and feather motions, and often results in cross-coupling between the aircraft control axes. Phase lag is a property of all rotating systems acted upon by a periodic force.

Because of phase-lag, rolling a rotorcraft to the left or right would theoretically require a forward or backward cyclic if there were no mechanical correction. The rotor control system is angularly shifted as much as necessary to compensate for phase-lag and provide helicopter response that matches movement of the cyclic stick.

The amount of phase lag depends on the distance of the flapping hinge from the rotor hub. If the hinges are only slightly offset, phase lag will be 80-90 degrees, however a semi-rigid rotorhead will typically have phase lag of 75-80 degrees.[1] Phase lag is not caused by gyroscopic precession, which always has a lag of 90 degrees.[2]

The transverse flow effect results in a roll due to phase lag.

Phase lag is not to be confused with advance angle, which refers to the mechanically fixed angle between the pitch link attachments at the blade and the swashplate. Advance angle is fixed and cannot vary.

## See also

[edit]

* Helicopter rotor
* Helicopter flight controls
* Unequal rotor lift distribution

## References

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1. ^ Leishman, J. Gordon (2006). Principles of helicopter aerodynamics (2nd ed.). Cambridge: Cambridge University Press. p. 188\. ISBN 9780521858601.
2. ^ Croucher, Phil (2007). Professional Helicopter Pilot Studies. Lulu.com. pp. 2–24\. ISBN 9780978026905. Retrieved 18 January 2022.2-24&rft.pub=Lulu.com&rft.date=2007&rft.isbn=9780978026905&rft.aulast=Croucher&rft.aufirst=Phil&rft_id=https://books.google.com/books?id=AovdKRWSqJAC&rfr_id=info:sid/en.wikipedia.org:Phase+lag+(rotorcraft)" class="Z3988">