6 Starting and Operating
32
Version: 1.1.1
PZ245E
P-2x5 Piezo Actuator
1.
Calculate the resonant frequency of the loaded piezo actuator with the following
formula:
f
0
' = Resonant frequency of the loaded piezo actuator [Hz]
f
0
= Resonant frequency of the unloaded piezo actuator [Hz]; see "Data Table" (p. 41).
m
eff
= Effective mass; approx. 1/3 of the mass of the piezo actuator [kg]
m
eff
' = Effective mass m
eff
+ additional load M [kg]
See also "Calculating the Effective Mass" (p. 31).
2.
Calculate the maximum operating frequency of the loaded piezo actuator with the
following formula:
f
max
= f
0
'/3
f
max
= Maximum operating frequency of the loaded piezo actuator [Hz]
f
0
' = Resonant frequency of the loaded piezo actuator [Hz]
6.2.4
Calculating the Forces that Occur During Dynamic Operation
Calculate the dynamic forces that act on the piezo actuator during sinusoidal operation
with the frequency f, with the following formula:
F
dyn
= Dynamic force [N]
m
eff
' = Effective mass m
eff
(approx. 1/3 of the mass of the piezo actuator) + additional
load M [kg], see also "Calculating the Effective Mass" (p. 31)
ΔL = Displacement in the application (peak-to-peak) [m]
f = Frequency [Hz]
Example:
The dynamic forces at 1000 Hz, 2 μm displacement (peak-to-peak) and 1 kg
effective mass are approximately ±40 N.
6.2.5
Calculating the Power Requirement for Sinusoidal Operation
Calculate the average current requirement for sinusoidal operation using the following
formula:
Calculate the peak current requirement for sinusoidal operation using the following
formula: