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Arnaud Deraemaeker, Gilles Tondreau

   
Keywords vibration damping, tuned vibration absorber, piezoelectric shunt
   

Motivation

A possible way to mitigate the vibrations of a structure is to attach a piezoelectric device with a tuned RL resonant circuit. The idea is similar to the tuning of a resonant mass-spring system, but the system is much lighter. Analytical formulae have been derived to find the exact solution for an optimal, equal peaks design of such devices in [1,2]
   

Finite element model

The analytical formulae are derived considering a one dof system as the host structure. Obviously, structures are much more complex and one way to design optimal piezoelectric resonant vibration dampers is to model both the structure and the transducers using the finite element method. An example of a cantilever beam equipped with piezoelectric patches is shown in Figure 1. The model is created in the Structural Dynamics Toolbox under Matlab using multi-layer piezoelectric plate elements.

Figure 1 : Cantilever beam with piezoelectric patches and finite element model

   
Finite element model

Thanks to the finite element model, optimal tuning of the resonant shunt circuit around the first natural frequency of the beam is performed. Results are shown in Figure 2 demonstrating the efficiency of the technique.

Figure 2: Effect of the tuned resonant circuit on the response of the host structure

   

Selected publications

[1] P. Soltani, G. Kerschen, G. Tondreau, and A. Deraemaeker. Piezoelectric vibration damping using resonant shunt circuits: an exact solution. Smart Materials and Structures, 23, 2014. 125014.

[2] P. Soltani, G. Kerschen, G. Tondreau, and A. Deraemaeker. Tuning of a piezoelectric vibration absorber attached to a damped structure. Journal of Intelligent Material Systems and Structures, September 2016. doi: 10.1177/1045389X16666180