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Question: Finding damping ratio from transfer function?

Question:Finding damping ratio from transfer function?

sfdesignguru 120 Maple
convert
December 05 2009
0

Hello,

 

Assume I have a transfer function in "s" term and symbolic parameters (A, B, C, and D).

TF := (1+s*D)/(A*s^2 + B*s + C)

 

Question:

How can I convert the above TF in generic form in term of damping ratio?


The generic form can be written as (1+sD)/(s^2 + 2*damp*wn*s + wn^2)


Should I use a "collrect" or "simpligy" function to re-write original TF in generic form?

Let's say we re-write TF in generic form.

Then how can I extract the value of "wn" and "damp" value?

Thanks,

 

 

 

 

 

As known, generic form of transfer function in damping ratio.

 

 

 
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