To the fenestron:
This is a shrouded tail rotor with the benefit, that it has nor advancing and retreating blade in forward flight (the main aerodynamic problem of a turning rotor in forward flight). So the layout of the tail rotor can be easier. Disadvantage is that it takes more power from the engine(s) and is heavier on the end of the tail-boom. One needs a shroud around the rotor at last.
I loved the fenestron on the Dauphin. Easy to maintain, no problems, hard to damage and a lot, lot, lot saver than the normal tail rotor layout.
Mike is right, first helicopter fitted was the Gazelle. So it is a patent of Aerospatiale, i.e. Eurocopter. Sikorsky had used this concept as a trial for the Comanche project on a modified S76. Why could they? Aerospatiale and Sikorsky work together from time to time and shear patents. Bell tried a sort of ducted tail rotor but it was more likely a ring around a conventional tail rotor. They stopped it.
To the ground resonance:
Frank, you are a technical man. So, let’s say the sinus wave of a vibration is even. It is constantly the same. The vibration will stay as it is. To dampen this sinus it has to be reduced. So the sinus wave declines. That is done by a good dampener. But if the sinus wave increases, the dampener is no good and vibration becomes more and more. Until the source of the vibration is destroyed.
Any rotation mass creates vibrations, relevant to the displacement of the centre of gravity to the centre of rotation and the revolutions. Think of your tyres on the car. To get rid of this vibrations you to put the centre of the mass exactly to the centre of rotation. If this is not enough or impossible, you try to dampen it. Here we are. Ground resonances on helicopters occur slowly but increasingly. You have to be vigilant to catch it before it comes out of control. How? By controlling the revolutions, i.e. the main rotor speed. Can a pilot do this? Yes, of course. That is one of the reasons why a FADEC ( full authorised digital engine control) controlled engine always has to be observed during start up.