Thanks Joe....but what is the heat shield?
Unless they've been removed.. where the down-pipe curves toward the rear.. there's a sheet metal shield affair (or two) to keep the exhaust pipe heat from heating up the p-side floor area.
When you go from 3.5", to 4+" pipe* set-ups.. the clearance(s) between the new, bigger pipe, and the shields, can be minimal. If you don't allow (Shim) for it, before you tighten all the clamps during the install.. after a new exhaust system "settles-in" (so to speak) ..... When the engine torques over, under loads, or even during a Rev from idle.. The pipe will touch the heat-shield(s)... giving you a PIA, Buzzing, and/or, a Vibration.
There's also a couple places on the mid to lower area of the Firewall that can need attention too.
The Best fix is to loosen ALL the joint clamps.. shoot'm with WD-40 (or the like) then tweak the system side to side**, then block it with shims (I use wood) in a position where it won't/can't touch anything. About 1" + will usually be enough. Bending the heat-shields a tad is good insurance too.
Joe
* Brands/Makers can be a bit different in the QA of the design. IMHO.
** With ALL the clamps loose, including the Turbo clamp [slightly loose], if you [rotate] the down-pipe (pry-bar).. the rest will move side to side. A Helper or two is GOOD.
All the above is for the 99+ 7.3's.. Not sure of the configurations on the rest.