Calculating The Maximum Operating Frequency Of The Loaded Piezo Actuator - PI P-88 Series User Manual

6 Starting and Operating
1. Determine the mass m of your piezo actuator.
2. Determine the additional load M.
3. Calculate the effective mass m
piezo actuator using the formulas in the figure above.
6.2.3 Calculating the Maximum Operating Frequency of the Loaded Piezo
Actuator
INFORMATION
In the following calculation, the maximum permissible operating temperature of the piezo
actuator is not taken into account. During operation without cooling, the maximum operating
temperature may already be exceeded when the operating frequency is still below the limit
value calculated in the following.
 For the maximum permissible operating frequency without cooling, see column B of the
table in "Maximum Ratings" (p. 50).
1. Calculate the resonant frequency of the loaded, unilaterally clamped piezo actuator
using the following formula:
f ' = Resonant frequency of the loaded piezo actuator [Hz]
0
f = Resonant frequency of the unloaded piezo actuator [Hz]: The resonant frequency
0
according to the data table (p. 47) applies to unclamped operation without load. In an
arrangement with unilateral clamping, the value must be halved.
m
eff
m
eff
See also "Calculating the Effective Mass" (p. 36).
2. Calculate the maximum operating frequency of the loaded, unilaterally clamped piezo
actuator using the following formula:
f
max
f
max
f ' = Resonant frequency of the loaded piezo actuator [Hz]
0
P-88x/P-08x Piezo Actuator
= Effective mass; approx. 1/3 of the mass of the piezo actuator [kg]
' = Effective mass m + additional load M [kg]
eff
= f '/3
0
= Maximum operating frequency of the loaded piezo actuator [Hz]
of the unloaded piezo actuator and m
eff
PZ259E
' of the loaded
eff
Version: 1.1.0 37