Essentially nonlinear piezoelectric shunt circuits applied to mistuned bladed disks

Zhou, Biao; Thouverez, Fabrice; Lenoir, D.

doi:10.1016/j.jsv.2013.12.019

Cited by 61 publications

(42 citation statements)

References 39 publications

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“…Their method was first illustrated experimentally on a circular plate and then used in a prototype of an industrial bladed drum. Reference [17] proposed a nonlinear piezoshunt circuit as a vibration absorber for the bladed disk. Both the nonlinear normal modes and nonlinear forced response of the electromechanical system were investigated theoretically.…”

Section: Introductionmentioning

confidence: 99%

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A Modified Nonlinear Modal Synthesis Scheme for Mistuned Blisks with Synchronized Switch Damping

Liu

Fan

et al. 2018

International Journal of Aerospace Engineering

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In the authors' previous work (MSSP 2017), we show that the synchronized switch damping based on negative capacitor (SSDNC) is a good candidate for vibration suppression of tuned blisks. In this paper, we consider the mistuned case and propose an efficient numerical approach to accelerate the required statistical analysis. Although SSDNC is a type of nonlinear piezoelectric damping, through an in-depth nonlinear modal analysis, we show that the modal information of the system remains unchanged with respect to the nonlinear modal amplitude. Based on this, an accelerated nonlinear component modal synthesis (NCMS) method is proposed to predict and further analyse the dynamic characteristics of the nonlinear system. The precision and efficiency of the proposed method is compared with that of the multiharmonic balance method. The stochastic characteristics of the blisk are studied with two sources of mistuning. The first one is random stiffness mistuning and the second one is capacitance mistuning. The investigation is carried out with different mistuning levels and under different engine-order excitations. The results show that the NCMS method can accurately predict the forced response of the mistuned blisk with SSDNC, and the calculation cost can be considerably reduced. Two advantages of the SSDNC technique applied to the mistuned blisk have been revealed in the statistical view. The first one is that the SSDNC can suppress the amplified vibration induced by the mistuning of the blisk significantly. The second one is that the vibration-suppression performance of SSDNC is insensitive to the mistuning of the blisk and that of the electrical circuits.

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Section: Introductionmentioning

confidence: 99%

“…The symbol ⊗ denotes the Kronecker tensor product, i is the imaginary unit, and θ = 2π/N is the phase difference between adjacent blades. When the vector p is obtained, the forced response of the blisk can be obtained by the inverse coordination transformation based on (17) and (26).…”

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confidence: 99%

A Modified Nonlinear Modal Synthesis Scheme for Mistuned Blisks with Synchronized Switch Damping

Liu

Fan

et al. 2018

International Journal of Aerospace Engineering

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“…An increase in any of them would control the structural response. Zhou [29] applied nonlinear piezoelectric shunt circuits to mistuned bladed disks. A sound damping performance was achieved.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Study of the Vibration Suppression on a Mistuned Bladed Disk Using a Bi-periodic Piezoelectric Network

Deng

Liu

et al. 2018

International Journal of Turbo &Amp; Jet-Engines

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The paper deals with the vibration suppression of a bladed disk with a piezoelectric network. The piezoelectric network has a different period (so called bi-period) from that of the bladed disk and there is no inductor in it. The system is simulated by an electromechanical lumped parameter model with two DOFs per sector. The research focuses on suppressing the amplitude magnification or reducing the vibration localization of the mistuned bladed disk. The dynamic equations of the system are derived. Both mechanical mistuning and electrical mistuning have been taken into account. The Modified Modal Assurance Criterion (MMAC) is used to evaluate the vibration suppression ability of the biperiodic piezoelectric network. The Monte Carlo simulation is used to calculate the MMAC of the system with the random mistuning. As a reference, the forced responses of the bladed disk with and without the piezoelectric network are given. The results show that the piezoelectric network would effectively suppress amplitude magnification induced by mistuning. The vibration amplitude is even smaller than that of the tuned system. The robustness analysis shows that the bi-periodic piezoelectric network can provide a reliable assurance for avoiding the forced response amplification of the mistuned bladed disk. The amplified response induced by the mechanical mistuning with standard deviation 0.2 can be effectively suppressed through the bi-periodic piezoelectric network.

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“…An increase in any of them would control the structural response. Zhou et al 21 analyzed the effect of nonlinear piezoelectric shunt circuits on mistuned bladed disks. A sound damping performance was achieved.…”

Section: Introductionmentioning

confidence: 99%

Study on vibration of mistuned bladed disk with bi-periodic piezoelectric network

Deng

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

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The paper deals with the vibration suppression of a bladed disk structure with a piezoelectric network. The piezoelectric network without inductors has a different period (so-called bi-period) from that of the bladed disk. The research focuses on reducing amplified response or localized vibration, a phenomenon existing in bladed disks and induced by mistuning. The study is based on an electromechanical and cyclic-periodic lumped parameter model with two degrees of freedom per sector. Both mechanical mistuning and electrical mistuning have been taken into account. The modified modal assurance criterion is adopted to evaluate the ability of bi-periodic piezoelectric networks for suppressing vibration. The Monte Carlo simulation is used to calculate the modified modal assurance criterion of the system with random mistuning. To validate the numerical results, an experiment research is also carried out. In order to perform a comparison between numerical results and experimental results, the method of equivalent blisk model is introduced to identify the lumped parameters of the experimental model. In the experiment, traveling wave excitations are simulated as dynamical loads to excite the resonant vibration of coupling bladed disks in a rotating state. The results show that with a good design, the bi-periodic piezoelectric network can effectively suppress the amplified-forced-response due to the mistuning of the system, even though there are less piezoelectric patches and electric elements in the system compared to the system with piezoelectric shunt circuits.

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Essentially nonlinear piezoelectric shunt circuits applied to mistuned bladed disks

Cited by 61 publications

References 39 publications

A Modified Nonlinear Modal Synthesis Scheme for Mistuned Blisks with Synchronized Switch Damping

A Modified Nonlinear Modal Synthesis Scheme for Mistuned Blisks with Synchronized Switch Damping

Theoretical Study of the Vibration Suppression on a Mistuned Bladed Disk Using a Bi-periodic Piezoelectric Network

Study on vibration of mistuned bladed disk with bi-periodic piezoelectric network

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