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Question about complex frequencies
Posted Apr 2, 2014, 8:54 p.m. EDT MEMS & Nanotechnology, MEMS & Piezoelectric Devices, Studies & Solvers 1 Reply
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Hi!
I'm simulating a MEMS resonator using Thermoelasticity and an eigenfrequency study. As might be expected, I'm obtaining complex frequencies due to the damping.
I looked all over the forum and the answers about the meaning of the real and imaginary parts of the frequency are very confusing to me since nobody makes clear for what stands the real part of the frequency.
So, my question is, what means the real part? Is the undamped resonance frequency or the damped resonance frequency?
Is the imaginary part the damping ratio 'zeta', or the damping coefficient 'c' that is used with the critical damping to obtain the damping ratio?
Thanks for the help!
I'm simulating a MEMS resonator using Thermoelasticity and an eigenfrequency study. As might be expected, I'm obtaining complex frequencies due to the damping.
I looked all over the forum and the answers about the meaning of the real and imaginary parts of the frequency are very confusing to me since nobody makes clear for what stands the real part of the frequency.
So, my question is, what means the real part? Is the undamped resonance frequency or the damped resonance frequency?
Is the imaginary part the damping ratio 'zeta', or the damping coefficient 'c' that is used with the critical damping to obtain the damping ratio?
Thanks for the help!
1 Reply Last Post Apr 5, 2014, 7:46 p.m. EDT
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Posted:
1 decade ago
The real part of the reported frequency is the damped frequency. The ratio of the imaginary to the real part gives the relative damping factor.
Nagi Elabbasi
Veryst Engineering
Nagi Elabbasi
Veryst Engineering