There are some free apps available on Android that might be useful for investigations. They might be on Apple too, but I have no idea.
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This one uses the accelerometers in your phone to measure vibration and give you a plot of level vs. frequency. If you have harmonic vibrations, this might help you dial in their frequency.
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This one does basically the same thing, but uses the microphone to capture airborne sound. It has a live display that you can pause to capture the spectrum at a moment in time and look for frequency spikes created by any pure tones or harmonics. This could be useful if you can hear certain tones when the vibes happen.
This is an interesting topic to me since 1) I just developed vibes after re-gearing and 2) I work in noise and acoustics. I'm a long way from an NVH engineer though. My work is all related to buildings and environmental noise and vibration, but the same physics and instrumentation applies.