The common problems that cause the symptoms you describe are low tire pressure, worn tires, worn suspension components, broken front swaybar, bad SLD, things like that.
These are the things must be checked before and after every time you go to track or give a heavy foot even if they are brand new and not worn. I do have some nice kick under the rear hood as well and since changing to very heavy duty suspension components (rear sway bar 34mm, rear springs 800# etc.), not only the structural body elements are under careful control but also all bolts and joints must be secured with sockets, double closing units etc.
The combination of shaking and torque can make surprising things...