Optimal switch timing for piezoelectric-based semi-active vibration reduction techniques

Abstract

Piezoelectric-based semi-active vibration reduction techniques typically rely on rapid changes in the electrical boundary conditions or corresponding stiffness state. Approaches such as state switching and synchronized switch damping on a resistor or an inductor require four switching events per vibration cycle, with switch timing associated with displacement extrema. Any deviation from this switch timing affects the performance of these techniques. Typical harmonic forcing analyses focus on the energy dissipation and only evaluate the performance at resonance. This study evaluates displacement reduction for harmonic excitation, both at resonance and for frequencies near resonance. Furthermore, it examines the effect of sub-optimal switch timings. Numerical simulations of a non-dimensional model are performed, and an analytical solution is derived for any switch time. This analysis shows that the optimal switch timing depends on the forcing frequency relative to the natural frequency of the structure. Thus, the classical switch time at peak displacement is only optimal when the excitation is exactly at resonance. Even when the optimal switch timing is known, uncertainties in vibration sensing cannot guarantee that switches will occur at the desired moment. Therefore, this work characterizes the degradation in vibration reduction performance when switching away from the optimal switch time based on global, non-dimensional parameters.

Design and analysis of unsymmetrical SSD based negative capacitance technique for vibration suppression

“…Alongside the ever-increasing interests, many studies have been carried out, focusing on different aspects of SSD control systems. Existing works range from circuit design (Badel et al, 2006; Han et al, 2013; Ji et al, 2011; Lefeuvre et al, 2006; Makihara et al, 2006, 2007; Mokrani et al, 2012; Qureshi et al, 2016; Richard et al, 2000; Tang et al, 2018), switch control strategy design and optimization (Bao and Tang, 2017; Chérif et al, 2012; Guyomar et al, 2005, 2007; Ji et al, 2009, 2010; Neubauer et al, 2011, 2013; Tang et al, 2017), applications for vibration suppression and energy harvesting (Chamanian et al, 2020; Hara et al, 2020; Kelley and Kauffman, 2017; Lallart et al, 2020; Liu et al, 2017; Lombardi and Lallart, 2021; Silva et al, 2019; Wang and Inman, 2013; Wang et al, 2020; Wu et al, 2021; Xia et al, 2020; Zhang et al, 2020; Zhao et al, 2020), and so on (Bao et al, 2020). From the circuit design perspective, efforts have been made to develop various forms of SSD circuit, such as SSDI (SSD based on Inductor), SSDV (SSD based on Voltage sources), SSDNC (SSD based on Negative Capacitor), et al , which potentially can provide larger voltage.…”

Optimizing Piezoelectric Material Location and Size for Multiple-Mode Vibration Reduction of Turbomachinery Blades

“…Semi-active techniques typically rely on switching the electrical boundary conditions between an open circuit and a shunt circuit, and most of these techniques require four switches per vibration cycle [24][25][26]. This rapid switching prohibits implementation at high frequencies; in fact, mistimed switches can actually increase vibration levels [28]. However, resonance frequency detuning (RFD) is a semi-active technique designed specifically for turbomachinery blades [4][5][6].…”

Superharmonic vibration and its reduction in SSD control by increase of voltage inversion time

“…The SSD method shows its great potential in vibration control because of several advantages. Recently, a number of investigations have been carried out with the aim of improving the control performance using the SSD method [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18].…”