Francesco,
The standard waveform measurement tools in LV 6 provide the tools you need for FFT analysis, which will also locate your dominant frequency and its harmonics. Look at "Extract Single Tone Information.vi" and "Harmonic Distortion Analyzer.vi"
To measure a damping ratio, you have to use tools designed for analyzing impulse signals. I am not aware of any tools in any of the existing NI toolkits that provide this tool. It is possible to write your own, but it gets a little tricky, depending on your application.
Bruce
Bruce Ammons
Ammons Engineering