Hi Clive,
Today I made a small experiment to try to sustain a spark without the solenoid action. I took the weight off of the rod for the test. I couldget not sustained arc or vibration, not even momentarily, with this method.
I too have noted the effect of finger pressure on the sparking. This was the main reason for adding the weight. The weight certainly increases the total current flow, frequency and erosion rate. If the armature is well outside the solenoid then welding is likely to occur and the force from the solenoid is insuffient to break the weld. However, with the armature well inside the coil then the force is large enough to break the weld and continuous operation is possible.
I was surprised when I added the weight that the frequency of operation went up since additional weight should reduce the natual frequency of oscillation of the spindle. However, your theory about spark shock oscillation may explain this. If this is the case then the main function of the solenoid is simply to act as a weld breaker. This would also explain the fact that the spindle can be oscillating at a steady high frequency of say 50 hertz with very little amplitude of oscillation but occasionally it will make a much larger oscilation and then revert back to its previous steady low amplitude mode. This occasional blip must be when a weld forms.
Mike