Structural vibration control using extension and shear active-passive piezoelectric networks including sensitivity to electrical uncertainties

Abstract

Active-Passive Piezoelectric Networks (APPN) integrate active voltage sources with passive resistance-inductance shunt circuits to a piezoelectric patch. This technique allows to simultaneously passively dissipate vibratory energy through the shunt circuit and actively control the structural vibrations. This work presents an analysis of active-passive damping performance of beams with extension and shear APPN. A coupled finite element model with mechanical and electrical degrees of freedom is developed and used to design passive and active control parameters. Then, stochastic modeling and analyses of two cantilever beam configurations, with extension and shear APPN, are performed to evaluate the effect of uncertainties in circuit components on passive and active-passive vibration control. Results show that active-passive shunt circuits can be very interesting since they may combine an adequate passive control performance with an increase of active control authority when a control voltage is applied to the circuit. For the extension configuration, vibration amplitude reductions of up to 22 dB and 28 dB are obtained for passive and active-passive cases, respectively. Considering relative dispersions of 10% for the resistance and inductance values, the passive and active-passive amplitude reductions are found to be in the ranges 16-24 dB and 27-28 dB, respectively. For the shear configuration, increases in the active control authority of up to 29 dB due to a properly tuned resonant circuit are observed. When subjected to uncertainties in the resistance and inductance values, with 10% relative dispersions, the control authority increase is in the range of 6-29 dB.

Vibration control of a flexible structure with electromagnetic actuators

“…(15) and substituting Eqs. (21), (25) and (27) in Eq. (16), a more accurate representation of the differential equations for the current at the actuators are obtained: …”

“…In order to allow an effective operation in a wider force frequency range, [14] proposes the use of multiple degrees of freedom vibration absorbers. Other type of passive solutions can be achieved with the use of resonant circuit shunted piezoeletrics [23,25,27,31], use of viscoelastic materials [10] or shape memory alloys [9]. Alternative techniques, as the use of passive electromagnetic dampers, can be found in [22].…”

“…A widely used method consists in employing piezoelectric actuators, as shown in [1,2,7,8], where they are used in combination with different controllers. In [25] an active-passive piezoelectric network is presented. Another active technique consist in using reaction masses, as presented in [5,13].…”

Parametric analysis of effective material properties of thickness-shear piezoelectric macro-fibre composites

“…The presence of the new electrodes imposes a dominant electric field, either applied or induced, in the thickness direction, thus perpendicular to the length or width poling direction. Since the mid-90s, the shear mode of monolithic piezoceramic materials has been considered for applications in the design of smart structures (Sun and Zhang, 1995;Benjeddou, Trindade and Ohayon, 1997;Benjeddou, 2007;Trindade and Benjeddou, 2009), including active (Benjeddou, Trindade and Ohayon, 2000;Raja, Prathap and Sinha, 2002;Baillargeon and Vel, 2005), passive (Benjeddou and Ranger, 2006;Trindade and Maio, 2008) and active-passive Santos and Trindade, 2011) vibration control. From these studies, the shear mode seems to be an interesting alternative for stiffer structures, higher frequencies and non-standard shape deflection patterns.…”

Loudness scattering due to vibro-acoustic model variability

“…The need for a better understanding of vibro-acoustic system performance leads to the necessity of predicting its behavior in an early design stage, usually by means of numerical simulation (Van de Auweraer et al, 2007). However, vibro-acoustic models are known to be computationally expensive, mainly if the frequency range envelope is pushed to higher frequencies, which leads to finer meshes and, consequently, more degrees-of-freedom.…”