System and method for determining linear density of carbon fiber
A method for determining a linear density of a carbon fiber tow. The method includes providing a pulse of air directed toward the carbon fiber tow, determining, via a first sensor, an air pressure of the pulse of air, and measuring, via a second sensor, a displacement of the carbon fiber tow in response to the pulse of air directed toward the carbon fiber tow. The method further includes calculating, via a controller, a linear density of the carbon fiber tow based on the air pressure and the displacement, and outputting, via the controller, the linear density.
1. A method for determining a linear density of a carbon fiber tow, the method comprising:
providing a pulse of air directed toward the carbon fiber tow;
determining, via a first sensor, an air pressure of the pulse of air;
measuring, via a second sensor, a displacement of the carbon fiber tow in response to the pulse of air directed toward the carbon fiber tow;
calculating, via a controller, a linear density of the carbon fiber tow based on the air pressure and the displacement; and
outputting, via the controller, the linear density.
2. The method of claim 1 , further comprising:
determining, via the controller, a frequency response function (FRF) based on the air pressure and the displacement.
3. The method of claim 2 , wherein the linear density of the carbon fiber tow is based on the frequency response function (FRF).
4. The method of claim 3 , wherein a tension of the carbon fiber tow is determined using the following equation.
F
R
F
(
0
)
=
∑
n
=
1
∞
2
L
sin
(
n
π
x
o
L
)
sin
(
n
π
x
L
)
n
2
π
2
T
5. The method of claim 1 , wherein the linear density of the carbon fiber two is further based on first natural frequency of the carbon fiber tow.
6. The method of claim 1 , further comprising:
calculating, via the controller, a tension of the carbon fiber tow.
7. The method of claim 1 , wherein the first sensor is a pressure transducer.
8. The method of claim 1 , wherein the second sensor is a laser displacement transducer.
9. The method of claim 1 , wherein the pulse of air is provided by a first valve and a second valve.
10. The method of claim 1 , wherein linear density of the carbon fiber tow is based on at least one selected from the group consisting of a position of the pulse of air directed toward the carbon fiber tow and a position of the second transducer.
11. A system for determining a linear density of a carbon fiber tow, the system comprising:
an air source configured to direct a pulse of air toward the carbon fiber tow;
a first sensor configured to sense a pressure of the pulse of air;
a second sensor configured to sense a displacement of the carbon fiber tow in response to the pulse of air; and
a controller including an electronic processor and memory, the controller configured to:
receive the pressure of the pulse of air,
receive the displacement of the carbon fiber tow,
calculate a linear density of the carbon fiber tow based on the pressure and the displacement, and
output the linear density.
12. The system of claim 11 , wherein the controller is further configured to:
determine a frequency response function (FRF) based on the air pressure and the displacement.
13. The system of claim 12 , wherein the linear density of the carbon fiber tow is based on the frequency response function (FRF).
14. The system of claim 13 , wherein a tension of the carbon fiber tow is determined using the following equation.
F
R
F
(
0
)
=
∑
n
=
1
∞
2
L
sin
(
n
π
x
o
L
)
sin
(
n
π
x
L
)
n
2
π
2
T
15. The system of claim 11 , wherein the linear density of the carbon fiber tow is further based on first natural frequency of the carbon fiber tow.
16. The system of claim 11 , wherein the controller is further configured to:
calculate a tension of the carbon fiber tow.
17. The system of claim 11 , wherein the first sensor is a pressure transducer.
18. The system of claim 11 , wherein the second sensor is a laser displacement transducer.
19. The system of claim 11 , wherein the pulse of air is provided by a first valve and a second valve.
20. The system of claim 11 , wherein linear density of the carbon fiber tow is based on at least one selected from the group consisting of a position of the pulse of air directed toward the carbon fiber tow and a position of the second transducer.