Passive control of multiple structural resonances with piezoelectric vibration absorbers

Tuning and performance comparison of multiresonant piezoelectric shunts

“…The specification procedure proposed by Raze et al (2021) forms the starting point of this paper, and is summarized in this section. A piezoelectric transducer may be modeled as a current source in parallel with a capacitor of capacitance C p ε .…”

“…Raze et al (2021) proposed a specification procedure taking as input the piezoelectric capacitance at constant strain as well as the short- and open-circuit resonance frequencies of the structure, and a set of targeted modes with associated residues representing the desired control authority. The output of the method is a set of electrical resonance frequencies z i and associated modal damping ratios ζ i , defining either Norton’s dissipative admittance…”

“…In the case of Hollkamp’s and the CF shunts, the best baseline case to use in the specification procedure (Raze et al, 2021) is the series RL shunt. A heuristic justification is that the resistors are placed in series with the inductors in these circuits (and in particular when N s = 1 , Hollkamp’s shunt reduces to a series RL shunt).…”

“…Compute each frequency z i and damping ratio ζ i with the parallel RL baseline from the approach proposed by Raze et al (2021).…”

“…Raze et al (2021) recently proposed a model-less sequential specification procedure for a generic shunt. This shunt was emulated by a digital vibration absorber, making it unnecessary to determine its topology.…”