- #1
cabellos2
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Transfer function of flow measurement system HELP!
1.
I have attached the question, which is to derive the transfer function of a volumetric flow measurement system...
2.
I know of the following relevant equations:
F = Ma = MD^2.x
Flow f = area x velocity
and f through a restriction f = C(p2-p1)
Also Force F = pressure x Area
3.
When considering the Mass alone I have
Sum of forces F = F - kx - BDx = MD^2.x
therefore x/F = 1 / K + BD + MD^2
and finally, x/F = (1/k) / 1 + (B/k)D + (M/k)D^2
However I am struggling to break the problem down further. Which parts of the system do I also need to consider and how do I go about manipulation of the equations to derive the transfer function...??
Your help is very much appreciated.
1.
I have attached the question, which is to derive the transfer function of a volumetric flow measurement system...
2.
I know of the following relevant equations:
F = Ma = MD^2.x
Flow f = area x velocity
and f through a restriction f = C(p2-p1)
Also Force F = pressure x Area
3.
When considering the Mass alone I have
Sum of forces F = F - kx - BDx = MD^2.x
therefore x/F = 1 / K + BD + MD^2
and finally, x/F = (1/k) / 1 + (B/k)D + (M/k)D^2
However I am struggling to break the problem down further. Which parts of the system do I also need to consider and how do I go about manipulation of the equations to derive the transfer function...??
Your help is very much appreciated.