scholarly journals Improved shunt damping with two negative capacitances: An efficient alternative to resonant shunt

2016 ◽  
Vol 28 (16) ◽  
pp. 2222-2238 ◽  
Author(s):  
M Berardengo ◽  
O Thomas ◽  
C Giraud-Audine ◽  
S Manzoni
Keyword(s):  
Electrical Circuit ◽  
Negative Capacitance ◽  
Stability Margins ◽  
Experimental Campaign ◽  
Modal Damping ◽  
Vibration Attenuation ◽  
Efficient Alternative ◽  
Control Capability ◽  
Shunt Damping ◽  
Resonant Shunt

This paper deals with piezoelectric shunt damping enhanced with negative capacitances. A novel electrical circuit layout is addressed, based on the use of two negative capacitances. It is shown that the shunt performances, in terms of vibration reduction and stability margins, are increased as compared with the classical single negative capacitance layouts. Then, the article focuses on the comparison of a simple resistive shunt, enhanced by a pair of negative capacitances, with a classical resonant shunt. It is shown that the newly proposed enhanced resistive shunt can show equivalent performances in terms of vibration attenuation than the resonant shunt, with at the same time an increased robustness to frequency detuning, in the case of mono-modal damping. The broadband control capability of the resistive shunt coupled to the new negative capacitance layout is also evidenced. The main part of the work is analytical, and then the model is validated by an extensive experimental campaign at the end of the paper.

scholarly journals Piezoelectric resonant shunt enhancement by negative capacitances: Optimisation, performance and resonance cancellation

2018 ◽  
Vol 29 (12) ◽  
pp. 2581-2606 ◽  
Author(s):  
Marta Berardengo ◽  
Stefano Manzoni ◽  
Olivier Thomas ◽  
Marcello Vanali
Keyword(s):  
Electrical Circuit ◽  
Practical Implementation ◽  
Mathematical Treatment ◽  
Negative Capacitance ◽  
Control Performance ◽  
Shunt Damping ◽  
Stability Issues ◽  
Resonant Shunt ◽  
Theoretical Results ◽  
Shunt Impedance

This article addresses piezoelectric shunt damping through a resonant shunt associated with negative capacitances. The main objective of this article is to provide guidelines for choosing the best electrical circuit layout in terms of control performance and possible stability issues. This article proposes general analytical formulations for the tuning/optimisation of the electrical shunt impedance and for the prediction of the attenuation performance. These formulations are demonstrated to be valid for all the possible configurations of the negative capacitances. It is demonstrated that the behaviour of the different shunt circuits can indeed be described by a common mathematical treatment. Moreover, the use of two negative capacitances together is shown to provide benefits compared to traditional layouts based on a single negative capacitance. The mentioned advantages relate to both stability and attenuation performance. The use of a resonant shunt with the addition of negative capacitances is finally proven to provide enough attenuation to even cancel eigenfrequency peaks in some cases. This article also analyses the main issues arising from the practical implementation of the negative capacitances. Finally, the theoretical results are validated through experiments conducted on a cantilever beam coupled to two piezoelectric patches.

scholarly journals A New Electrical Circuit With Negative Capacitances to Enhance Resistive Shunt Damping

2015 ◽  
Author(s):  
Marta Berardengo ◽  
Stefano Manzoni ◽  
Olivier Thomas ◽  
Christophe Giraud-Audine
Keyword(s):  
Electromechanical Coupling ◽  
Short Circuit ◽  
Electromechanical Coupling Factor ◽  
Coupling Factor ◽  
Open Circuit ◽  
Electrical Circuit ◽  
Structural Vibration ◽  
Electrical Network ◽  
Negative Capacitance ◽  
Shunt Damping

This article proposes a new layout of electrical network based on two negative capacitance circuits, aimed at increasing the performances of a traditional resistive piezoelectric shunt for structural vibration reduction. It is equivalent to artificially increase the modal electromechanical coupling factor of the electromechanical structure by both decreasing the short-circuit natural frequencies and increasing the open-circuit ones. This leads to higher values of the modal electromechanical coupling factor with respect to simple negative capacitance configurations, when the same margin from stability is considered. This technique is shown to be powerful in enhancing the control performance when associated to a simple resistive shunt, usually avoided because of its poor performances.

Guidelines for the layout and tuning of piezoelectric resonant shunt with negative capacitances in terms of dynamic compliance, mobility and accelerance

2021 ◽  
pp. 1045389X2098699
Author(s):  
Marta Berardengo ◽  
Stefano Manzoni ◽  
Olivier Thomas ◽  
Marcello Vanali
Keyword(s):  
Dynamic Compliance ◽  
Practical Implementation ◽  
Experimental Campaign ◽  
Vibration Attenuation ◽  
Circuit Components ◽  
Resonant Shunt ◽  
Theoretical Results ◽  
Shunt Impedance ◽  
Piezoelectric Shunt ◽  
Shunt Circuit

This paper addresses the vibration attenuation provided by the resonant piezoelectric shunt enhanced by means of negative capacitances. The shunt impedance is composed by one or two negative capacitances, a resistance and an inductance. It is shown that closed analytical formulations, common to all the possible connections of the negative capacitances, can be derived for the tuning of the circuit components and for the prediction of the attenuation in terms of dynamic compliance, mobility and accelerance. The paper also compares the attenuation performance provided by the two possible layouts for the electrical link between the resistance and the inductance, that are series and parallel. Furthermore, this work evidences which shunt configurations offer advantages in terms of practical implementation and the benefits provided by the use of negative capacitances in the shunt circuit. In the last part of the paper, guidelines for the use of resonant shunt are given to the reader and, finally, the theoretical results are validated by means of an experimental campaign showing that it is possible to cancel the resonance on which the resonant shunt is targeted.

Experimental Implementation of Negative Impedance Shunts on Periodic Structures

2009 ◽  
Author(s):  
Benjamin Beck ◽  
Kenneth A. Cunefare ◽  
Massimo Ruzzene ◽  
Manuel Collet
Keyword(s):  
Periodic Structures ◽  
Experimental Results ◽  
Periodic Array ◽  
Negative Capacitance ◽  
Experimental Implementation ◽  
Theoretical Predictions ◽  
Shunt Damping

Shunt damping of structures has been heavily researched, both passively and actively. Negative capacitance shunts actively control vibration on a structure and have been shown to obtain significant broadband suppression. The use of smaller piezoelectric patches, implemented in a periodic array, can alter the behavior of the control. Assorted shunt arrangements as well as circuit configurations will be investigated. Experimental results will be compared to theoretical predictions of shunt performance.

An adaptive negative capacitance circuit for enhanced performance and robustness of piezoelectric shunt damping

2017 ◽  
Vol 28 (19) ◽  
pp. 2633-2650 ◽  
Author(s):  
Martin Pohl
Keyword(s):  
Negative Capacitance ◽  
Electronic Components ◽  
Beam Structure ◽  
Lightweight Structures ◽  
Shunt Damping ◽  
Adaptive Circuit ◽  
Electronically Tunable ◽  
Best Fit ◽  
Piezoelectric Shunt ◽  
The Ideal

Piezoelectric shunt damping is investigated as one possible solution for improving the vibroacoustic behavior of noise-prone lightweight structures. The negative capacitance shunt circuit appears to be the best choice due to its broadband damping effect. Usually, it is built from analog electronic components, such as operational amplifiers, resistors, and capacitors. In terms of damping efficiency and the vibroacoustic behavior of the circuit, the capacitance ratio between the negative capacitance and the inherent capacitance of the piezoelectric transducer is of major concern. For laboratory setups, this ratio may be adjusted manually, but for real applications, this is not suitable due to a lack of damping or the risk of instability of the circuit. Therefore, an improved approach is presented in this article, where a concept for an adaptive negative capacitance circuit is presented. An electronically tunable resistor is used to change the value of the negative capacitance to the best fit for the present conditions. Adjustment laws for the ideal value of this resistor are derived from the transfer function of the whole circuit. Finally, a prototype board is designed and experimentally tested at a beam structure. It can be shown that the adaptive circuit allows a tighter adjustment to the edge of stability resulting in higher damping or, in the case of too high vibration amplitudes, prevents the output voltage from saturating.

Energy Dissipation of Synchronized Switch Damping with Piezoceramics Using Negative Capacitance

2013 ◽  
Vol 198 ◽  
pp. 483-488
Author(s):  
Marcus Neubauer ◽  
Xu Han ◽  
Jörg Wallaschek
Keyword(s):  
Energy Dissipation ◽  
Stability Boundary ◽  
Operational Amplifiers ◽  
Negative Capacitance ◽  
Practical Realization ◽  
Dimensional Parameters ◽  
Piezoelectric Coupling ◽  
Shunt Damping ◽  
The Stability ◽  
Adaptive Ability

This publication presents a novel piezoelectric shunt damping circuit. It consists of a negative capacitance in parallel to a synchronized switch damping on inductor (SSDI) branch. This combination utilizes the increased piezoelectric coupling due to the negative capacitance together with the adaptive ability of the SSDI technique. This novel circuit is theoretically modelled using non-dimensional parameters, and optimum network parameters and the corresponding maximum damping is obtained. The increase in damping performance due to the negative capacitance is clearly highlighted. Theoretically, the energy dissipation can be increased unlimited when tuning the system at the stability boundary, given the system would still be excited to vibrations. However, due to imperfections and practical realization using operational amplifiers the increase is limited.

Vibration attenuation of spacecraft in the presence of parametric and unmodeled dynamics uncertainties using collocated and noncollocated control: A comparative study

2017 ◽  
Vol 24 (14) ◽  
pp. 3077-3093 ◽  
Author(s):  
Muhammad Atif Khushnood ◽  
Wang Xiaogang ◽  
Cui Naigang
Keyword(s):  
Comparative Study ◽  
Energy Utilization ◽  
Control Synthesis ◽  
Unmodeled Dynamics ◽  
Optimal Parameters ◽  
Plate Structures ◽  
Modal Damping ◽  
Equal Importance ◽  
Vibration Attenuation ◽  
Selection Of

µ-control synthesis offers the advantage of maintaining robust performance and stability in the presence of plant uncertainties. Expressions relating the 2-norm of the vector of regulated outputs and closed-loop modal damping to the weights used for µ-control synthesis are derived in this paper. By using these expressions, the amount of damping added to each mode can be controlled individually while maintaining equal importance for each controlled mode. Hence, the selection of weights for synthesizing a suitable µ-controller is greatly simplified. Furthermore, a comparative study of µ-controllers designed by the proposed procedure and positive position feedback (PPF) controllers designed by analytically derived optimal parameters is also presented. The techniques are compared for their vibration attenuation, energy utilization, and stability characteristics, in the presence of parametric and unmodeled dynamics uncertainties. Results for both time domain and frequency domain simulations are presented. As in some cases (sandwich plate structures etc.) the noncollocation of actuator/sensor becomes crucial for achieving good performance, the above-mentioned characteristics are evaluated for both collocated and noncollocated sensor locations.

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