Passive self-tuning inductor for piezoelectric shunt damping considering temperature variations

Abstract

Piezoelectric shunt damping offers a passive solution to mitigate mechanical vibrations: the electromechanical coupling induced by piezoelectric patches bound to the vibrating structure allows the transfer of vibration energy to an electrical circuit, where it can be dissipated in a resistive component. Among the existing passive piezoelectric shunt circuits, the resonant shunt leads to significant vibration damping if it is tuned with enough precision. However, temperature may have a strong influence on electrical parameters such as the piezoelectric capacitance and the circuit inductance. As a consequence, a temperature variation can lead to a deterioration of vibration damping performance. This paper describes how inductive components can be chosen to minimize the mistuning of the resonant shunt when temperature evolves. More specifically, inductors are made of magnetic cores whose magnetic permeability varies with temperature, which counterbalances the variations with temperature of the mechanical resonance frequency and of the piezoelectric capacitance. Experiments show the benefits of adequately choosing the magnetic material of the inductor for vibration damping of a cantilever beam. The concept of a fully passive shunt adapting to temperature variations is hence validated.

Effect of parametric uncertainties on vibration mitigation with periodically distributed and interconnected piezoelectric patches

“…The relative dispersion for both manufacturing and environmental causes is actually unknown a priori. Previous observation (Darleux et al, 2018) has shown that capacitance values can vary up to 12% for a 38°C temperature variation. However, since there might be several different sources for both manufacturing and environmental uncertainties, the actual relative dispersions should be estimated for a given application condition.…”

“…The parameters that most affect the resonance frequency tuning are the piezoelectric effective capacitance and the circuits’ inductance. Also, experimental tests have shown that even homemade inductances can have very small tolerances and can be adapted if needed (Darleux et al, 2018). On the contrary, the capacitance of piezoelectric patches is more difficult to control and could present significant variability when subjected, for instance, to temperature variations.…”

LRLC-shunted piezoelectric vibration absorber

“…The use of piezoelectric actuators shunted to electric impedances to attenuate vibrations is a widely studied topic and has recently been thoroughly investigated (e.g. [1,2,3,4]). In this control approach, the piezoelectric transducer acts at the same time as a sensor and as an actuator and the layout of the electric impedance depends on the required type of attenuation.…”

Experimental validation of piezoelectric shunt tuning with residual mode correction: Damping of plate-like structures

“…In the present experimental setup, the RM-cores in Figure 4(a) are without a center hole, whereby adequate fine-tuning has been performed by use of scotch and strips. Furthermore, an exact measurement of the realized inductance is important, as this may vary with frequency (Lossouarn et al, 2017), temperature (Darleux et al, 2018), and magnitude of the current (Lossouarn et al, 2018). In the present case, the inductance has been measured by considering the voltage–current relation for the electric circuit inductor (equation (18)).…”