Onset and stabilization of delay-induced instabilities in piezoelectric digital vibration absorbers. (September 2022)

• Record Type: Journal Article
• Authors: Raze, Ghislain; Dietrich, Jennifer; Kerschen, Gaetan
• Is Part Of: Journal of intelligent material systems and structures. Volume 33:Number 16(2022)
• Page Start: 2033
• Page End: 2048
• Publication Date: 2022-09
• Subjects: Vibration mitigation -- piezoelectric shunt damping -- digital vibration absorber -- delay-induced instabilities -- stabilization; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X211072269
• Languages: English
• ISSNs: 1045-389X

Abstract

The stability of a piezoelectric structure controlled by a digital vibration absorber emulating a shunt circuit is investigated in this work. The formalism of feedback control theory is used to demonstrate that systems with a low electromechanical coupling are prone to delay-induced instabilities entailed by the sampling procedure of the digital unit. An explicit relation is derived between the effective electromechanical coupling factor and the maximum sampling period guaranteeing a stable controlled system. Since this sampling period may be impractically small, a simple modification procedure of the emulated admittance of the shunt circuit is proposed in order to counteract the effect of delays by anticipation. The theoretical developments are experimentally validated on a clamped-free piezoelectric beam.