Although you would think that a solid brass coupling with grub screws is infallible, it's not.
I have a couple of these that have double grub screws, 2 at each end. I have found that if the motor shaft is not exactly the same diameter of the bored hole, when tightening the grub screws up onto the shaft, one will always tighten before the other, throwing the shaft off centre. it the same thing happens at the other end, but opposite, the 2 shafts end up well out of alignment and vibration is quite bad....