- #1
wazoo
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Hi, my first post to this forum:
I'm curious whether the hanging mass of the fuselage beneath a helicopter rotor can be said to exhibit pendulum behavior.
Specifically, in the case of a helicopter or other rotorcraft with a so-called teetering rotor, no torque is present at the rotor head because of the hinge arrangement. Control is by vectored thrust in which the total lift is perpendicular to the plane of the rotor . The rotor is tilted by cyclic control, which causes the thrust vector to move off of the Center of mass. The aircraft rotates about its CG, as do all rigid bodies.
Seems to me this is like a weight on a string, but the pivot point(rotor head) is not fixed in space.
Because the rotor head is not a fixed point, it has been argued that the mass, assumed to be a point mass at some distance below the rotor, lacks the attributes of a true pendulum.
However, it seems to me that during certain maneuvers, say rapid back and forth turns( "S" turns), that the body of the helicopter would lag in its its response relative to the rotor and there is a 180 phase shift at a certain frequency of turning similar to the phase shift often seen in resonance conditions. This hints at the weight acting like a pendulum.
In other words, when the helicopter reaches the far end of a left turn the mass below the rotor is banked maximally to the left, but the rotor is now banked to the right in order to commence the next right turn.
The body would appear to swing back and forth like a pendulum, but I have not been able to properly model this behavior on paper, or in my mind.
I'd like to think that the pendulum period could be calculated in the same way as it is for any pendulum- based on the distance from the rotor head to the CG.
Helicopter engineering books sometimes state that the idea of a helicopter as a pendulum is a myth, but I need to know why, if indeed that's true.
Yet, a suspended "sling load" under a helicopter IS considered a pendulum.
I'm confused as to how to compare these cases because the helicopter has a relatively large mass compared to the sling load, while the helicopter rotor can be considered to have zero mass compared to the body of the helicopter in this argument.
Can anyone get me started on how to sort this out?
Thanks
I'm curious whether the hanging mass of the fuselage beneath a helicopter rotor can be said to exhibit pendulum behavior.
Specifically, in the case of a helicopter or other rotorcraft with a so-called teetering rotor, no torque is present at the rotor head because of the hinge arrangement. Control is by vectored thrust in which the total lift is perpendicular to the plane of the rotor . The rotor is tilted by cyclic control, which causes the thrust vector to move off of the Center of mass. The aircraft rotates about its CG, as do all rigid bodies.
Seems to me this is like a weight on a string, but the pivot point(rotor head) is not fixed in space.
Because the rotor head is not a fixed point, it has been argued that the mass, assumed to be a point mass at some distance below the rotor, lacks the attributes of a true pendulum.
However, it seems to me that during certain maneuvers, say rapid back and forth turns( "S" turns), that the body of the helicopter would lag in its its response relative to the rotor and there is a 180 phase shift at a certain frequency of turning similar to the phase shift often seen in resonance conditions. This hints at the weight acting like a pendulum.
In other words, when the helicopter reaches the far end of a left turn the mass below the rotor is banked maximally to the left, but the rotor is now banked to the right in order to commence the next right turn.
The body would appear to swing back and forth like a pendulum, but I have not been able to properly model this behavior on paper, or in my mind.
I'd like to think that the pendulum period could be calculated in the same way as it is for any pendulum- based on the distance from the rotor head to the CG.
Helicopter engineering books sometimes state that the idea of a helicopter as a pendulum is a myth, but I need to know why, if indeed that's true.
Yet, a suspended "sling load" under a helicopter IS considered a pendulum.
I'm confused as to how to compare these cases because the helicopter has a relatively large mass compared to the sling load, while the helicopter rotor can be considered to have zero mass compared to the body of the helicopter in this argument.
Can anyone get me started on how to sort this out?
Thanks
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