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Solution of an eigenfrequency problem

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Amit Finkler

Amit Finkler

March 14, 2010 6:18pm UTC

Solution of an eigenfrequency problem

Hi,

As a test model, I am trying to find the eigenfrequencies of a 440 Hz tuning fork I drew on Inventor and imported into Comsol. I do get the proper eigenfrequencies, but the displacement amplitude is in meters! It is a 10 cm tuning fork, so I can't see how it gets to such high amplitudes.

How does one set the driving amplitude of the eigenfrequency calculation?

Thanks,

Amit

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Mihir Shetye

Mihir Shetye

March 16, 2010 10:42pm UTC in response to Amit Finkler

Re: Solution of an eigenfrequency problem

Hi Amit,

Modal analysis cannot be used to estimate displacements. It is a method to extract the natural frequencies only. The displacements shown depend on the method used for normalization. If you want displacements, you would have to do a harmonic analysis by applying the appropriate loads.

Mihir

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Ivar Kjelberg

Ivar Kjelberg
Moderator

March 17, 2010 7:32am UTC in response to Mihir Shetye

Re: Solution of an eigenfrequency problem

Hi

Yes indeed amplitudes in frequency analysis of COMSOL should be seen as relative items, unitless

In anycase, for modal analysis, amplitudes depends on the quality factor Q that is directly coupled to the loss or damping values you use, therefore either you know the losses and you get correct absolute values (relative they will anyhow be OK), or you measure your damping factor via the resonance heights versus half widths values and you run a parametric sweep (or an optimisation) of your damping factor on your model to identify how to match both.

What you can find out though, with an eigenfrequency calculation, is the relative participation factors of the different modes, and how much relative energy there are in the different ones.
This is not directly derived by COMSOL, as you have it in Nastran, Ansys, COSMOS and most others FEM tools, because COMSOL uses a different eigenfrequency normalisation. But you can, if your model is not to heavy, export the matrices into matlab and normalise them ther.

Take a look at :

http://www.comsol.com/community/forums/general/thread/2650/

for the litterature you have good descriptions in "Actrive Control of Structure", A. Preumont and K Seto, Wiley, 2008, chapter 1.

By the way Prof. A. Preumont (Springer, and Kluever) has some very interesting books with good examples to run in COMSOL on Piezo structures and control thereof

Have a nice reading and
Good luck
Ivar

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Cheng Yang

Cheng Yang

March 17, 2010 10:00am UTC in response to Amit Finkler

Re: Solution of an eigenfrequency problem

Eigenfrequency analysis only gives you modes, but not displacement. It is the basic of mechanics.

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Cheng Yang

Cheng Yang

March 17, 2010 10:07am UTC in response to Ivar Kjelberg

Re: Solution of an eigenfrequency problem

Ivar, do you know how to describe complex eigenfrequency in COMSOL? And thanks for recommending the book, fortunately I have found it in the library :-)

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Ivar Kjelberg

Ivar Kjelberg
Moderator

March 17, 2010 1:02pm UTC in response to Cheng Yang

Re: Solution of an eigenfrequency problem

Hi

Well complex values eigenmodes/frequencies should be linked to damping in structural, and in comsol its the "phase" variable that represents the complex "i", try an indexed search on your doc with "phasor variable" and start in the guide.pdf

But I beleive that in structural, the complex mode is not "on" by default, pls check your solver settings, but it might implicitely turn on with the definition of a damping <> 0

Good luck
Ivar

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