Normal mode and eigenfrequency

[kaksmet]

What is the difference between eigenfriquency and normal mode? If, for example, I solve the secular equation (from the equations of motion) for a mechanical system (say two masses on springs) to obtain the eigenvalues I thought I got the normal modes, but now I am told I get the eigenfrequencies..`?

Thanks for any help to enlighten me on this matter.

/K

 

[h0dgey84bc]

The normal modes are the eigenvectors, the eigenvalues are what are also known as eigenfrequencies. Example Af=wf, where A is your operator (could be differential like d/dx etc), f is a function, w is the eigenvalue/eigenfrequency. If you solve this to find the functional form of f, then you have obtained the normal modes or eigenvectors as theyre also known. For each function f you find, you will also get a value of w...f1:w1, f2:w2 etc, these values of w are the eigenfrequencies.

So for the equations for two masses on a spring, the functions that describe the motion of the masses, and their amplitudes of vibration are your normal modes . To each of these normal modes will correspond a frequency of vibration, the eigenfrequency.

 

[mahinda]

nice explanation

 

[abid220]

hey

It nice explanation :-)

I hve question.. what about the Transverse frequency, which systems ossillate if some electromagnetic radiations (e.g light) shines on the material.

Best regards
Abid