6 Start-Up and Operation
38
Version: 1.0.0
PZ265E
PL0xx/PDxxx Piezo Actuator
1.
Calculate the resonant frequency of the loaded, unilaterally clamped piezo actuator
using the following formula:
f
0
' = Resonant frequency of the loaded piezo actuator [Hz]
f
0
= Resonant frequency of the unloaded piezo actuator [Hz]: The resonant frequencies
given in the data tables (p. 49) apply to unclamped operation. In an arrangement with
unilateral clamping, the value must be halved.
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. 37).
2.
Calculate the maximum operating frequency of the loaded, unilaterally clamped piezo
actuator using 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 acting on the unilaterally clamped piezo actuator during
sinusoidal operation at the frequency f using 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. 37)
Δ
L = Displacement in the application (peak-to-peak) [m]
f = Frequency [Hz]
Example:
The dynamic forces at 1000 Hz, 2
μ
m displacement (peak-to-peak) and 1 kg
effective mass are approximately ±40 N.