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There's a ~0.003" gap between coupling and piston, so there's just a tiny bit of slapping going on. Not loud, but distinct. I'd guess the impacting loads are on the order of just a few thousand pounds. Once they come into contact, forces rise to 30,000 pounds.

Contact stresses are no more than 2/3 of yield strength of the materials.

Can this situation lead to non-viscious damping and potential heating of the coupling? If so, how might you calculate it?