An Active-Passive Piezoelectric Absorber for Structural Vibration Control Under Harmonic Excitations With Time-Varying Frequency, Part 1: Algorithm Development and Analysis

Abstract

It has been shown that piezoelectric materials can be used as passive electromechanical vibration absorbers by shunting them with electrical networks. Semi-active piezoelectric absorbers have also been proposed for suppressing harmonic excitations with varying frequency. However, these semi-active devices have limitations that restrict their practical applications. The approach presented here is a high performance active-passive alternative to semi-active absorbers. By utilizing a combination of a passive electrical circuit and active control actions, the system is synthesized for adaptive variable frequency narrowband disturbance rejection. The active control consists of three parts: an inductor tuning action, a negative resistance action, and a coupling enhancement action. In the current paper (Part 1), the control algorithm is developed and analyzed. Part 2 of the paper contains experimental investigations and parametric studies of the new absorber design.

Active–passive Piezoelectric Absorbers for Systems Under Multiple Non-Stationary Harmonic Excitations

“…We begin designing the control law for the multi-frequency adaptive absorber by incorporating the same three components as the single-frequency case [5]. The "rst part of the control law is designed to imitate a variable inductor so that the absorber can be adaptively tuned to the correct frequency.…”

“…In addition, these semi-active implementations have had di$culty in achieving fast and accurate tuning. In a previous study, the authors have introduced a high performance adaptive active}passive piezoelectric absorber as an alternative to these semi-active absorbers [5]. The fundamental concept behind this new absorber design is the integration of a "xed passive inductance with an active variable inductance, which allows fast and accurate frequency tuning while minimizing the required control power.…”

Vibration and Wave Propagation Control of Plates with Periodic Arrays of Shunted Piezoelectric Patches

“…Similar concepts proposing refinements to reduce the coupling between the circuit branches can be found in papers by Wu (1999); Corr and Clark (2001); Moheimani et al (2001); . More recently, negative impedance circuits proposed for example in Morgan and Wang (2000); Park and Baz (2005); Neubauer and Oleskiewicz, (2006), have shown excellent broadband capabilities, but careful circuit design is required to avoid inducing instability in the system. This article presents a different approach, where a periodic array of shunted piezo-patches is mounted on a plate to control the propagation of elastic waves, and the subsequent onset of vibrations.…”

A robust control method of a hybrid vibration absorber for vibration suppression in a wide frequency band considering large structural parameter variations

“…13,14 To solve this problem, control approaches that are robust against the uncertainties and variations have been proposed by Utsumi, 13 Wu, 15 Wu et al, 16 Morgan and Wang, 17 and Hillis. 18 For example, Wu 15 and Wu et al 16 proposed a virtual vibration absorber method by using an active control force to emulate an additional passive vibration absorber.…”

“…18 For example, Wu 15 and Wu et al 16 proposed a virtual vibration absorber method by using an active control force to emulate an additional passive vibration absorber. Morgan and Wang 17 presented a piezoelectric absorber with an adjustable shunt circuit to suppress harmonic vibrations with varying frequencies. Since these methods can only suppress the tonal vibration with specific frequencies by tuning the DVA parameters actively, they are not well suited for vibration control in a wide bandwidth.…”