Assuming you wish to determine the natural frequency and mode shapes of the plate, you need to perform a modal analysis.
Dr. Peter Avitabile has good introductory articles on modal analysis concepts:
https://www.mpihome.com/en/services-and-support/downloads/modal-analysis-basics.html
"Modal Testing: Theory, Practice and Application" by D.J. Ewins covers modal analysis theory in great detail:
https://www.amazon.com/Modal-Testing-Application-Mechanical-Engineering/dp/0863802184
Alternatively, Dr. Avitabile has a textbook on the topic as well, with a more practical approach:
https://www.amazon.com/Modal-Testing-Practitioners-Peter-Avitabile/dp/1119222893
Do FFT on the time domain signal which is acquired from accelerometer (or vibrometer) through data acquisition.
Remember that the FFT can give frequencies correctly but not amplitudes (?).
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