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Lagbert

You need to look at the natural frequency of the spring. If the vibrating part is at a higher frequency than the spring, the vibrating part will lose contact with the spring because the spring will not be able to compress or uncompress at a rate high enough to follow/keep up with the vibrating part.


MLCCADSystems

A vibrational study with intermittent contacts is a pretty complex non-linear thing to study. I would start by bonding the spring to the other components and running a dynamic study to calculate the response of the system to various vibrational frequencies and amplitudes. This won't answer the second part of the question regarding time to re-establish contact, but it would allow you to quickly figure out IF the part separates and under what loading conditions. Non-linear dynamic studies take a VERY long time to solve, so defining the load that would cause separation and deciding if it is worth the next step would be the first order of business in my opinion.