The Marvel Wheelchair dudes' take on titanium and vibration dampening:
Titanium enjoyed a brief moment in the sun in the bike world, with manufacturers touting the same advantages that the wheelchair builders are currently, light and strong, dampens vibration, doesn’t need to be painted, and vaguely described ‘ride characteristics’.
The truth is, comparing apples to apples, a length of titanium tube is heavier than the same length of aluminum tube. Again, as mentioned earlier, unless you butt the tubing, the material is just not being used in the right way.
The vibratory dampening characteristics of titanium have been used to promote the material, as was also the case in the bike industry, the reality though is that real vibration in a frame only happens at relatively high speeds, in excess of 25 km/h. What does happen at lower speeds is bumps, there is a slight acoustic vibration that results from bumps, but the real way to deal with the issue is through shock absorption, not vibratory dampening.