Interesting! I am not a Mechanical Engineer, so take this with a grain of salt...
My guess is that the fundamental frequency will be of the item that is loose and not the engine. And that if the engine RPM matches one of the 1st, 2nd, etc harmonics you will then get the loose item to experience sympathetic resonance. In short, different things are likely to vibrate at different RPMs on the same engine. Plus you could get noise from loose items via non resonance transfer. Such as bumps in road surface, etc. so... probably harder to model than you think, but given some simple rules, you probably could create something that might sound close enough.
Richard
_________________
Richard Casto
1972 Porsche 914
2013 Honda Fit Sport
2015 Honda Fit EX
http://motorsport.zyyz.comMoney can't buy happiness, but somehow it's more comfortable to cry in a Porsche than a Kia.