Active vibration control of a stiffened panel through application of negative capacitance shunts

Beck, Benjamin S.; Cunefare, Kenneth A.; Collet, Manuel; Ruzzene, Massimo

doi:10.1117/12.880418

Cited by 11 publications

(4 citation statements)

References 38 publications

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“…Reference(s) SOAs [10] 2012, [11] 2009, [15] 2012, [16] 2016, [8] 2005, [7] 1996, [17] 2001, [18] 1997, [9] 2005 Qualitative, numerical, and experimental study of piezoelectric systems with shunt circuits [19] 1990, [20] 2000, [21] 2000, [22] 2001, [23] 2001, [24] 2006, [25] 2010, [26] 2011, [27] 2011, [26] 2011, [28] 2011, [29] 2011, [30] 2012, [31] 2012, [32] 2012, [31] 2012, [32] 2012, [33] 2013, [34] 2014, [35] 2014, [36] 2016, [37] 2016, [38] 2017…”

Section: General Typementioning

confidence: 99%

Passive piezoelectric subordinate oscillator arrays

Paruchuri

Sterling

Malladi

et al. 2019

Smart Mater. Struct.

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Subordinate oscillator arrays (SOAs) attached to a host structure have been shown to achieve flat attenuation of the frequency response over a band around a target natural frequency of the host. Due to their sensitivity to disorders that can arise from sources such as fabrication errors, as well as uncertainties in their structural properties or that of the host, SOAs can be challenging to implement in some applications. To overcome this shortcoming, piezoelectric subordinate oscillator arrays (PSOAs) are studied in this paper. This paper models PSOAs using variational principles to facilitate the analysis and development of design strategies. A closed-form expression for the frequency response function of the host structure is then used to design the PSOAs with and without uncertainties. This paper shows that the flat attenuation over a frequency band around a harmonic of the host can be achieved by assigning a distribution to the mechanical, electrical, or electromechanical properties of the PSOAs. For instance, it is shown that choosing a distribution of capacitive shunt circuits can achieve essentially the same qualitatively flat attenuation as that of classical SOAs. In this sense, the approach in this paper generalizes the results attained for conventional SOAs. Finally, the paper investigates the robustness of PSOAs, that is, their relative insensitivity to types of uncertainties. It is shown that PSOAs afford the chance to ameliorate some types of sensitivities that prove problematic for SOAs that are purely mechanical in nature. The notion of performance recovery is introduced; this measure quantifies how much attenuation loss due to uncertainty in an initial SOA or PSOA design can be recovered by modification of the electrical properties alone.

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Section: General Typementioning

confidence: 99%

Passive piezoelectric subordinate oscillator arrays

Paruchuri

Sterling

Malladi

et al. 2019

Smart Mater. Struct.

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“…The optimal control (8) was computed from the experimental measurements, and applied to the structure. The computed virtual mechanical impedance was passive for unit (1) but active for both units (2) and (3).…”

Section: A Experimental Set-upmentioning

confidence: 99%

“…This situation also occurs when using piezoelectric patches shunted by a resistive inductive circuit tuned at a given frequency [7]. In order to extend this strategy over broader frequency bands, the use of patches with negative capacitance circuits, designed to compensate the capacitance of the piezoelectric element, and arranged in periodic configurations has been recently studied [8] [9]. Both cases result in implementing active damping strategy to dissipate vibrational energy.…”

mentioning

confidence: 96%

Decentralized complex envelope controller for ASAC by virtual mechanical impedances

Michau

Micheau

Boulandet

et al. 2014

2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics

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The problem of Active Structural Acoustic Control (ASAC) is to attenuate the radiated sound power by energy injection using structural actuators to modify deflection shapes. Collocated and dual actuator-sensor pairs allow the feedback problem to be formulated as the implementation of virtual mechanical impedances. The approach is based on a two-step process: (1) the virtual impedance is derived from measurements of the primary sound and transfer functions; (2) the centralized or decentralized complex envelope controller is designed to ensure stable feedback loops. Experiments are performed on a curved composite aircraft panel comprising a window. The proposed approach leads to the implementation of active virtual impedances and unstable compensators. An increased kinetic energy of the panel is observed, thus demonstrating that the control inputs needs to provide vibrational energy to achieve sound power reduction (2.7dB).

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“…Previous methods of stiffened plate vibration control using piezoelectric elements can be divided into three categories: passive, semi-active and active [4][5][6]. These methods utilized distributed piezoelectric actuators and sensors to suppress unwanted vibrations in stiffened plate structures.…”

Section: Introductionmentioning

confidence: 99%

Composite multi-modal vibration control for a stiffened plate using non-collocated acceleration sensor and piezoelectric actuator

Li¹,

Li²,

Mo³

et al. 2013

Smart Mater. Struct.

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A novel active method for multi-mode vibration control of an all-clamped stiffened plate (ACSP) is proposed in this paper, using the extended-state-observer (ESO) approach based on non-collocated acceleration sensors and piezoelectric actuators. Considering the estimated capacity of ESO for system state variables, output superposition and control coupling of other modes, external excitation, and model uncertainties simultaneously, a composite control method, i.e., the ESO based vibration control scheme, is employed to ensure the lumped disturbances and uncertainty rejection of the closed-loop system. The phenomenon of phase hysteresis and time delay, caused by non-collocated sensor/actuator pairs, degrades the performance of the control system, even inducing instability. To solve this problem, a simple proportional differential (PD) controller and acceleration feed-forward with an output predictor design produce the control law for each vibration mode. The modal frequencies, phase hysteresis loops and phase lag values due to non-collocated placement of the acceleration sensor and piezoelectric patch actuator are experimentally obtained, and the phase lag is compensated by using the Smith Predictor technology. In order to improve the vibration control performance, the chaos optimization method based on logistic mapping is employed to auto-tune the parameters of the feedback channel. The experimental control system for the ACSP is tested using the dSPACE real-time simulation platform. Experimental results demonstrate that the proposed composite active control algorithm is an effective approach for suppressing multi-modal vibrations.

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Active vibration control of a stiffened panel through application of negative capacitance shunts

Cited by 11 publications

References 38 publications

Passive piezoelectric subordinate oscillator arrays

Passive piezoelectric subordinate oscillator arrays

Decentralized complex envelope controller for ASAC by virtual mechanical impedances

Composite multi-modal vibration control for a stiffened plate using non-collocated acceleration sensor and piezoelectric actuator

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