Single Degree of Freedom System:
If we are able to determine the system orientation (any position) by a single coordinate then we call it a single degree of freedom system.
Importance of Frequency Response function:
Frequency Response function (FRF) means how any particular system behaves in terms of magnitude and frequency with respect to any given exciting signal (Excitation signal may be sine, random, chirp, triangle, etc.., ).
The frequency response function plot gives the modal parameters. For any system, it is necessary to determine the modal parameters. Modal parameters are Natural frequency, Damping ratio, and mode Shape.
For a single degree of freedom system, there will be a single Natural frequency that we can see in the FRF plot. It can be identified by the peak response in the plot. From the FRF, we have to determine the damping ratio using a 3 dB method or half-power bandwidth method.