Hi Glacier, 
it looks like i have the same problem with my 740i. 
It also has the startup rattle, but i try to ignore it until it gets worse. 
The more annoying problem is the vibrating engine in the same rpm range. 
Do you or anyone have a solution by now? 
I checked nearly everything, but i can´t find the reason. 
		
		
		
		
		
		
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