With the energy involved, the damping will be negligible - otherwise the fairings would be hot to the touch after landing since damping absorbs energy.
Of the materials mentioned, the wood works because it has a relatively large moment of inertia. Kevlar works because it has more modulus of elasticity than wood, and is placed at the outer fiber, which tends to add to its effectiveness. Carbon works because of its high modulus of elasticity and it's position, also at the outer fiber.
The added stiffness increases the natural frequency mostly in the fore-aft direction but slightly in the transverse direction too. Separating the natural frequencies of the two directions seems to reduce the likelihood of the vibration.
What I plan to do when I get that far is use Woodman Rog's wooden pieces with some uni carbon, along with the +/- 45 degree glass wrapping over all.
Dave
RV-3B under construction