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Damped Eigen frequency Analysis

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Hei,

I am working on calculating Q factor from eigenfrequecny analysis using structural mechanics. I know that Q factor= abs(imag)/2*abs(real) but my problem is when I add damping in the form of isotropic loss factor, it would increase the real part too (which is frequency of the system) that should decrease with the increase in damping. Since both the real and imaginary part are increasing simultaneously, there is a little difference in the values of Q factor with or without damping.
I know that adding damping to eigenfrequency gives imaginary frequencies, but I am not sure how to deal with it.
Please give me some suggestions on how to proceed.
Any help would be appreciated.
Regards,
Saleha

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