Quoted from JethroP:Is it because the full wave rectified voltage is higher than the AC RMS voltage and therefore produces stronger coil energy?
I'm not convinced that this is what's going on. Unmodified, the AC voltage fed into a knocker, or any other solenoid, crosses 0 volts and looks like this:
AC Voltage (resized).jpg
When you throw a rectifier in there, the rectified AC voltage to the solenoid no longer crosses 0 volts and looks instead like this:
Rectified Voltage (resized).jpg
Note that the rectified AC voltage will actually be slightly lower than the AC voltage because of the voltage drop (~.7 volts) across the diode in the rectifier, but let's ignore that for now. Typically when AC voltage is rectified a capacitor is used to smooth out the voltage like this:
Smoothed Rectified Voltage (resized).jpg
The green part of the graph represents the voltage that the capacitor supplies to the solenoid while the rectified AC voltage dips to zero and back. The capacitor is usually recharged with each voltage peak so the average voltage is higher with a capacitor than without one. So with a capacitor on the output of the rectifier it's easy to see why a knocker would be stronger using DC (or smoothed, rectified AC) than plain old AC. There's just more voltage more of the time.
But the mod suggested here doesn't use a capacitor so something else must be going on. The strength of the knocker is determined by the magnetic field created in the solenoid. The magnetic field is proportional to the current flowing through the solenoid. Since it's the amount of current and not the direction of the current that determines the strength of the magnetic field the current represented in the first two graphs above is the same. If the knocker is really stronger with a rectifier there must be something else that's increasing the magnetic field in the solenoid when going from AC to rectified AC.
I think what's going on is that the knocker (which is an inductor) is conserving energy between voltage peaks much like the capacitor does in the third graph. When using AC, the voltage across the knocker changes polarity (from positive to negative to positive) each cycle so the current must also change direction. But like capacitors resist changing voltage (as shown in the third graph) inductors resist changing current. Changing current from one direction to the other (AC) takes a lot more energy than reducing and increasing the current in the same direction (rectified AC). So what may be happening is that with rectified AC, the knocker solenoid is putting more energy into moving the plunger and less energy into changing the current than it does with simple AC. That's probably why the knocker is stronger with a rectifier. Note that it would probably be even stronger with an capacitor added to the rectifier.
/Mark