Fundamentals ... (cont.)
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| | | | Dynamic Forces Every time the PZT drive voltage changes, the piezo element changes its dimensions. Due to the inertia of the PZT mass (plus any additional load), a rapid change will generate a force (pushing or pulling) acting on the piezo. The maximum force that can be generated is equal to the blocked force, described by:
(Equation 8)

Maximum force available to accelerate the piezo mass plus any additional load.
where:
DL0 = max. nominal displacement without external force or restraint [m]
kT = PZT actuator stiffness [N/m]
Tensile forces must be compensated for by a mechanical preload (inside the actuator or external) in order to prevent damage to the ceramics. Preload should be around 20% of the compressive load limit, with soft preload springs—soft compared to the PZT stiffness (1/10 or less).
In sinusoidal operation with frequency f and amplitude DL/2, peak forces can be expressed as:
(Equation 9)

Dynamic forces on a PZT in sinusoidal operation at frequecy f.
where:
Fdyn = dynamic force [N]
meff = effective mass [kg]
DL = peak-to-peak displacement [m]
f = frequency [Hz]
The maximum permissible forces must be considered when choosing an operating fequency.
Example: Dynamic forces at 1000 Hz, 2 μm peak-to-peak and 1 kg load reach approximately ± 40 N.
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 Fig. 22. Recommended guiding for large masses.
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