Perhaps my sentence structure was a bit tortured (like usual). It doesn't matter if the charge amplifier is inside or outside the sensor packaging. You still can't measure a static charge.
A piezo-electric material generates a charge across it when it is squeezed or strained (i.e. when a force is applied to it). The charge produced is proportional to the force.
Now, an accelerometer has a reference mass attached to one side of the peizo material and your test structure is attached to the other side.
(see
When you accelerate your structure the reference mass accelerates with it and applies a force (F=ma) to the piezo material and a charge is produced across it (i.e some electrons move to one side of the material).
Charge is proportional to the force which is proportional to the acceleration.
So if we accelerate the transducer from rest at some constant acceleration, then there is a force F = ma applied to the piezo material and (assuming a linear stiffness k) it is squeezed by some amount x = F/k and produces a charge C.
Say that charge is 100 electrons. Now to measure the charge we pull a proportion (say 10%) of the electrons down a wire to the charge amp and count them.
So in the first instance we count 10 electrons.
Now some time later we measure the charge again, but now there are only 90 electrons left, so when count 10% of the electrons we only count 9. There are now only 81 electrons left.
So each time we take a measurement, the acceleration that we measure decreases exponentially, even though we know that the transducer is still accelerating at a constant rate.
Therefore you can't measure a constant acceleration with a piezo-electric accelerometer!
Phew, I think I have succeeded in making that a lot more complex than it actually is!
M
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Dr Michael F Platten