Hi Casey,
The results of a random vibration analysis are statistical in nature and adding it to prestress result is not a correct approach. Please see the following two links that maybe of help to you.
Why does the prestress from Static analysis does not add up to the stress in Random Vibration analys (ansys.com)
How to Correctly Interpret PSD results| Ansys Courses
Regards,
Ashish Khemka
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