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Determining residues, damping and natural frequency from experimental TF

Started by gt0398b September 14, 2005
I am using Matlab 7.0 plus most of the toolboxes. I have some
experiemtally obtained transfer funtions of a previous experiement.
This experiment imparts a random vibration on one location on a
structure and senses acceleration at another location. I would like
to extract the modal residues, damping ratios and natural frequencies
from these experimental transfer funtions. I have looked through the
System Identification toolbox but nothing seems to perform this
function. I would appreciate any help.

Patrick Roberts
Dept. of Aerospace Engineering
Georgia Tech



Try using the residue function. If your transfer function is 2nd order (s^2 is the highest power term in the denominator of the laplace domain transfer function), its simple to determine the damping freq and damping factor. The denominator in a standard 2nd order system is of the form
s^2+2*zeta*wn*s+wn^2, please check it in a standard control theory book.
 
Premal

gt0398b <g...@cad.gatech.edu> wrote:
I am using Matlab 7.0 plus most of the toolboxes.  I have some
experiemtally obtained transfer funtions of a previous experiement.
This experiment imparts a random vibration on one location on a
structure and senses acceleration at another location.  I would like
to extract the modal residues, damping ratios and natural frequencies
from these experimental transfer funtions.  I have looked through the
System Identification toolbox but nothing seems to perform this
function.  I would appreciate any help.

Patrick Roberts
Dept. of Aerospace Engineering
Georgia Tech

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