First, tighten the screws holding the front panel onto the unit. Now,
check the window around the unit.
Turn the air-conditioner on and press
your hand against the sash. If the sound changes in pitch as you press
your hand on the sash, put some wooden shims between the window frame
and the sash. If the pitch changes when you press your hand on the
glass, use some insulating tape between the glass and the frame.
Finally, pull the unit out of the window if the sound seems to be
originating from within. Make sure the fan blades aren't bent. If one
is, simply bend it back until it matches the others.