Another way to think of damping is that a high damping amp "shorts" the speaker woofer voice coil when the signal is "zero" - this means that the voice coil current is maximized (sees least resistance) in response to the movement of the coil through the magnetic field which creates the strongest possible back emf which opposes the coil movement and acts as a "damper" for as long as it takes the coil to come to rest. The more powerful the magnetic field (magnet size/weight) and the bigger the diameter of the voice coil and lighter the cone weight then the better an amplifier is able to tightly control a woofer. (This is why large 4 inch voice coils that are very short (light weight) and sit in a long powerful magnet gap are so desirable. These are extremely expensive as well with a quality 12 inch woofer costing around $1000 and weighing about 25 lbs or more.
Of course at resonance, the impedance of the voice coil rises and electrical damping is not as powerful and that is where the "acoustic suspension" design becomes critical to how the speaker will sound.
Of course at resonance, the impedance of the voice coil rises and electrical damping is not as powerful and that is where the "acoustic suspension" design becomes critical to how the speaker will sound.