Multimodal vibration damping using a simplified current blocking shunt circuit

Abstract

The tuning of a simplified current blocking shunt circuit able to mitigate the vibration amplitude of multiple structural resonances is addressed in this article. The proposed strategy exploits the two-port network formalism in combination with physically motivated approximations to tune sequentially the electrical elements of the different branches of the shunt circuit. The resulting tuning method does not resort to optimization algorithms and requires only the knowledge of quantities that are easy to measure experimentally. It is demonstrated both numerically and experimentally using a piezoelectric beam.

Enhancement of the broadband vibration attenuation of a resistive piezoelectric shunt

“…impedances constituted by a single resistance R ) for single mode control (Hagood and Von Flotow, 1991; Thomas et al, 2012) as well as for broadband control, and multi-branch impedances for multi-mode control (e.g. Wu, 1996; Behrens et al, 2003b; Dell’Isola et al, 2004; Berardengo et al, 2017a; Lossouarn et al, 2018; Darleux et al, 2020; Raze et al, 2020).…”

Comparison of passive damping treatments based on constrained viscoelastic layers and multi-resonant piezoelectric networks.

“…( 3) by considering different values for the thickness of the piezoelectric layer, still modelled with one finite element in the depth direction. Figures (11) and (12) show the results for the first eleven modes of the proposed numerical model. One can remark that, for the case here considered, damping offered by a resonant network is about one order of magnitude larger than damping offered by a resistive network.…”

“…Because the discrete electrical analogue cannot perfectly match all the mechanical resonances of the continuous structure, it is required to optimize damping on one specific mode and let the other ones divert from their optimal values. New resonant network layouts offering optimal tuning on a specified set of modes [10,12] are currently under investigation in order to reach the maximum attainable damping in Fig. 12 simultaneously for all the chosen modes.…”

“…Resonant piezoelectric shunts are commonly tuned to a single mechanical natural frequency to be controlled [4,5,6,7,8]. However, broadband vibration reduction can also be obtained with piezoelectric multimodal damping, where the structure is coupled to a multi-resonant electrical network [9,10,11,12,13]. On the other hand, viscoelastic patches naturally provide broadband damping [14].…”

Modal-based synthesis of passive electrical networks for multimodal piezoelectric damping

“…Approaches that provide multimodal damping using a single piezoelectric transducer connected to a circuit with multiple branches were proposed, see, e.g. [3][4][5] for an overview. While using a single transducer makes up for a potentially compact solution, its placement on the structure may limit the performance in terms of vibration reduction of some modes.…”