Is a check engine light on?....can you describe the shaky part.....is it like a miss in the engine?...or sort of vibration?,And loud from where ...engine/tailpipe? sorry....need a little more info to help.....just a shot in the dark,....has the car had any tune-ups lately...at least in the last 2 years, if not that would be a start

one more question......did this trouble start right after the radiator was installed like the same day?