Hi there, thanks for the question
if your only getting teh vibration while accelerating then it sounds alot like driveshaft vibration.
if the vehicle is 4x4
start by checking for play in the front driveshaft and then check the rear driveshaft if the front checks out.
check the u-joints for wear and play, but also look for any places when it looks like it may have thrown a weight that was used to balance it.
if you need anythign else let me know
if not, just please remember to leave a kind rating.