- #1
Lord Doppler
- 9
- 2
- Homework Statement
- For the following system you will find its transfer function Vo (s) / P (s). East
system produces a voltage signal as a function of the applied gauge pressure
at the core of a Linear Variable Differential Transformer (LVDT), which
supplies an A.C. voltage of magnitude proportional to the displacement of the nucleus.
(Only consider positive displacements.)
- Relevant Equations
- P= F/A
Friction force = bx'
I'm solving this exercise, first I did a force diagram for the transformer nucleus and I got this:
∑Fx = ma
P(t) - Fk - Fb = ma
P(t) = mx''+ bx' + kx
So I got that dynamic equation, my question is, after transform that dynamic equation to Laplace Domain how can I relate it with the Output Voltage, I'm not sure, I obtain this:
X(s)/P(s) = 1/ms^2 + bs + k
And I need Vo(s)/P(s)
Thank you for your support
∑Fx = ma
P(t) - Fk - Fb = ma
P(t) = mx''+ bx' + kx
So I got that dynamic equation, my question is, after transform that dynamic equation to Laplace Domain how can I relate it with the Output Voltage, I'm not sure, I obtain this:
X(s)/P(s) = 1/ms^2 + bs + k
And I need Vo(s)/P(s)
Thank you for your support