Macroscale mechanical domain parametric amplification: superthreshold pumping and optimal excitation parameters

This work investigates theoretically and experimentally the phenomenon of parametric amplification in a macroscale mechanical context, using a base-excited tilted cantilever beam as the model object. It demonstrates that an optimum mix between selected excitation parameters exists, that parametric amplification is possible for the second vibration mode, that the detuned case is phase lag insensitive, and that superthreshold pumping changes the gain/phase lag relationship, the phase lag range for which amplification and attenuation is realized, the optimum phase lag, and the attainable gain.