Here'a a shot at one speciic for e39..
See note A, B, E, F
Does the vibration occur only at specific speeds, straight line, no brake applied, no gas?
Yes, then does it occur at 40-50mph?
Yes, then thrust arm bushing. Also see note F
No, then does it occur at 70-80mph?
Yes, then lower control arm. Also see note F
No, then see note C
Notes:
A - Check tire pressure
B - Swap tires to see if a change.
C - Check wheel alignment
D - Maybe wheel bearing play, worn out
E - Check that lug nuts are tight
F - Sometimes a new tire is needed because it has worn unevenly
Does the vibration occur generally higher speeds, straight line, no brake, no gas?
Yes, then see note B,C
Does it vibrate only when brakes applied?
Yes, then check for loose control arm joint(s). Check brakes calipers on tight. Check if rotors warped.
Does it vibrate on a turn, no brake, no gas?
Yes, then check if it happens more on right turn, then right side is suspect, and vice versa. See note D
Does it vibrate on acceleration?
Yes, then check center support bearing and Guibo
See note A, B, E, F
Does the vibration occur only at specific speeds, straight line, no brake applied, no gas?
Yes, then does it occur at 40-50mph?
Yes, then thrust arm bushing. Also see note F
No, then does it occur at 70-80mph?
Yes, then lower control arm. Also see note F
No, then see note C
Notes:
A - Check tire pressure
B - Swap tires to see if a change.
C - Check wheel alignment
D - Maybe wheel bearing play, worn out
E - Check that lug nuts are tight
F - Sometimes a new tire is needed because it has worn unevenly
Does the vibration occur generally higher speeds, straight line, no brake, no gas?
Yes, then see note B,C
Does it vibrate only when brakes applied?
Yes, then check for loose control arm joint(s). Check brakes calipers on tight. Check if rotors warped.
Does it vibrate on a turn, no brake, no gas?
Yes, then check if it happens more on right turn, then right side is suspect, and vice versa. See note D
Does it vibrate on acceleration?
Yes, then check center support bearing and Guibo