One way of looking at it is that the NTF needs a moving diaphragm to create noise, and the VTF shows the frequencies at which the structure is especially responsive, so there will be some correlation between the two.
I'm not sure if you meant NTF/VTF as a transfer function. That would be a very complex relationship, for a realistic structure, but very simple for a vibrating plate, where it boils down to P/V, which is a well known relationship.
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.