Hi Carlson,
I apologize about the delay, but I think we've got the complete answer for you now!
If you'd like to have each PSD analyzed seperately, then you should create three seperate analyses instead of using subcases. You can duplicate an analysis by right-clicking and selecting Copy/Duplicate. The reason for doing this is there is only one RANDOM card written per an analysis, rather than one being written at a subcase level, this should also help alleviate some of the confusion with the results labeling.
The PSD output is the PSD times the transfer functions squared, with the transfer function being the frequency response result.
The RMS output is area under the curve of the PSD output plotted versus frequency. If you input your PSD in units of g^2/Hz, then you would need to multiply this by the gravitation constant.
I hope this helps, and again sorry about the long delay here. Please let me know if you have any further questions.
Regards,
Andrew
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Andrew Sartorelli - Autodesk GmbH