Take a look at these two circuit diagrams:

This is the equivalent circuit for a piezo actuator - essentially two capacitors of a similar value, driven by two high voltage sine waves that are the inverse of each other. So at any given time there will be a voltage on the top of C1 and a symmetric negative voltage on the bottom of C2. It is the electric field present on each of these 'capacitors' which makes the actuator move, so by applying inverse sine waves to each side, the actuator basically 'wiggles' back and forth by a distance proportional to the amplitude of the waves.

As you can see in (1) the path between the capacitors is grounded, which is how these actuators are typically wired up. However I'm trying to work out the theoretical implications of removing this ground connection, as shown in (2).

One thing I know for sure is that the actuator still 'works' like this, but something in my head is nagging about the build up of charge, leakage etc. and whether there may be a long term problem in driving the circuit this way due to the voltages and capacitances being slightly asymmetrical.

Would anyone care to comment on the difference of (2) from (1)?

Thank you.