Yep, vibration modes. Vibration frequencies represent their eigenvalues while the shape that the structural system exhibits when subjected to said vibration corresponds to it's eigenvector.
If a structural system is modelled as a linear elastic system it's possible to apply an eigendecomposition of that system and represent it in terms of linear combinations of it's vibration modes/eigenvector, and consequently we can get very accurate representations by using only a hand-full of these eigenvectors.
You know swing sets? We would start to swing back and forth just by moving our legs in a particular frwquencey, and without much effort we could move more and more? It turns out the frequency we moved our legs was the system's vibration frequency/eigenvalue for the vibration modes/eigenvector representing the we swinging back and forth.