Pendulum absorbers "counterweights" are used on aircraft piston engines to absorb torsional (twisting) vibrations caused by the firing of the cylinders. Shown here are two sixth order absorbers.
Typically six cylinder Lycoming and Continental engines use two sixth orders absorbers on the rear of the crankshaft. In the center there may be a 4th, 5th or 6th order.
Although "counterweight" is the street term it is entirely incorrect and adds confusion as to their function. They are bifler pendulum absorbers. By bifler we mean hung like a pendulum from two points. The pendulum swinging is tuned to the frequency they need to absorb. Their mass then swings in opposite to the vibration thereby absorbing it.
Order is the number of vibrations per revolution. A 6th order vibration is one that vibrates 6 times per each revolution.
An imbalanced rotating shaft has a 1st order vibration as the imbalance crosses the same point once each revolution.
Each cylinder in a 4 cylinder 4 stroke engine produces a combustion event once each 4 revolutions. Each cylinder produces a 4th order vibration.
A 6 cylinder 4 stroke engine produces a 6th order vibration.
Vibrations can be dampen or absorbed
Dampeners consume the energy of vibration and turn this energy into heat. Common vibration dampeners are rubber mounts and shock mounts.
Absorbers use energy. Helmets and modern cars absorb impact energy by crushing and changing shape. Pendulum absorbers use the vibration energy to accelerate a heavy mass. This acceleration is tuned to be equal and opposite to the vibration - thereby reducing vibration.