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The voltage generated by the piezoelectric element is proportional to the pressure applied:

     

We obtain the following table:

 

Tabla

 

 

F1

 

-g33 is the piezoelectric voltage constant in millivolts per meter/Newton corresponding to a ratio of a potential difference generated (in volts) to force F applied (in Newton) for a 1-meter-long piezoelectric element.

 

-h is the thickness or height of the piezoelectric element.

 

-P is a pressure applied on the piezoelectric element; since the pressure P is the force F applied perpendicular to a surface of the piezoelectric element per area A over which that force is F distributed, that is, P = F/A, then

 

 

We propose the example of a cylindrical piezoelectric element, with the following dimensions:

I1

D = 1,5 mm = 0,0015 m

D = 2 mm = 0,002 m

D = 4 mm = 0,004 m

h = 2,5 mm = 0,0025 m

h = 5 mm = 0,005 m

h = 10 mm = 0,01 m

h = 15 mm = 0,015 m

We consider typical values of piezoelectric constant voltage:

g33 = 0,040 Vm/N

g33 = 0,050 Vm/N

g33 = 0,060 Vm/N

 
Finally, we consider different application forces (F):

F = 1 N ... F = 6 N

 

 

F3

 

 

________________________________________________________________________________________________________________________________________________________________________

 

 
 

- The maximum value (3.055,77 v) is achieved with greatest force (6N) with the smallest area (D = 1,5 mm), with greatest thickness (h = 15 mm), and with the highest piezoelectric constant (g33 = 0.060 Vm / N).

- The minimum value (7,96 v) is achieved with lowest force (1N) with the largest area (D = 4 mm), with smallest thickness (h = 2.5 mm) and the lowest piezoelectric constant (g33 = 0.040 Vm / N).

 
    F4  
In the same way, by controlling the speed at which the force is applied in an piezoelectric element, the current Iout can be controlled since current I depends on the variation of electric charge (dQ) over time (ds):
 
 

As a result, we will have greater intensity if we apply a force very quickly as a thud, that if we applied the same force slowly and progressively.

 

CONCLUSION:

 

- Selecting a type of piezoelectric material, which has a piezoelectric constant defined.
- Defining the shape and dimensions of the piezoelectric element on which the force is applied.
- Controlling the magnitude of the force applied.
- And controlling the speed at which this force is applied.

 

 
  IT IS POSSIBLE TO CONTROL THE OUTPUT VOLTAGE AND THE OUTPUT CURRENT OF A PIEZOELECTRIC ELEMENT