Numerical modeling of sound and vibration reduction using viscoelastic materials and shunted piezoelectric patches

Larbi, Walid

doi:10.1016/j.compstruc.2017.07.024

Cited by 28 publications

(13 citation statements)

References 27 publications

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“…Any change in the modelling of the interaction affects the behaviour of the entire system. Typically, the coupling between electromagnetic and mechanical subsystems is expressed by a set of coupled differential equations [9,[11][12][13]20]. The dynamics of the coupled system is given by an initial value problem (IVP) comprising this set of coupled differential equations [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Comments on the paper “On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors” published in this journal

Lima

Sampaio

Hagedorn

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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Electromechanical systems are an interesting type of coupled systems. The mutual influence between electromagnetic and mechanical subsystems characterizes coupling. Each subsystem affects the behaviour of the other. Typically, the dynamics of an electromechanical system is expressed by an initial value problem (IVP) that comprises a set of coupled differential equations involving electrical and mechanical variables, as for example, current and angle. This article discusses a hypothesis found in a recent paper published in this journal ("On nonlinear dynamics behavior of an electromechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors") and in some thesis. The hypothesis is that it is possible to consider the derivative of the current equal to zero in the IVP that gives the dynamics of an electromechanical system without changing the system dynamics. The hypothesis is based only on some parameter values and, also, does not depend on the electromechanical system being analysed. Apparently, it is a nice hypothesis since it simplifies the dynamics greatly. With the hypothesis, the number of equations in the IVP that gives the dynamics is reduced. The hypothesis results in a reduced system, a simplification of the complete one. However, the hypothesis contradicts itself and changes the dynamics. The reduced system does not represent the complete system, and, moreover, it decouples the electromagnetic and mechanical subsystems. The reduction eliminates the mutual interaction between the subsystems, i.e., eliminates the coupling. To highlight the problems of the reduction, self-contradiction and dynamical change, we analyse the effects of the hypothesis for a simple electromechanical system, a motor-cart system. For the chosen system, the equations of the two IVP, reduced and complete, are presented and numerical simulations are performed. Considering just the results of simulations of the reduced IVP, it is possible to verify the self-contradiction of the hypothesis made. Comparing the results of simulations of the reduced and complete IVPs, it is possible to see, immediately, the big difference between the two dynamics.

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Section: Introductionmentioning

confidence: 99%

Comments on the paper “On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors” published in this journal

Lima

Sampaio

Hagedorn

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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“…The FE method is a widely employed approach to develop numerical prediction models in construction industry and more and more researchers are used it [7][8][9]. By performing numerical simulations, experimental acoustical tests can be reduced, and parametric studies can also be carried out to investigate the influence of specific geometrical changes in construction as well as the influence of the variations/uncertainties in material properties, which always have a mark able influence on the results [10][11][12].…”

Section: Validation Of Fem For Floor Panels In Static Analysismentioning

confidence: 99%

Dynamic and Vibroacoustic Response of Timber Floor Panels. Measurements and Non-Linear Numerical Simulations

Titirla¹,

Benakli²,

Larbi³

2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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The present work concerns the dynamic and vibroacoustic response of timber floor panels as well as the study of the effect of material nonlinearities and damping. Each panel is composed of glued laminated beams and wood constituting the floor. The dimensions of the panels are defined to ensure appropriate implementation and transport conditions. For these reasons, the width of the panels is fixed at 2.40 m, and the length is 7.2 m. Two types of floor panels were investigated with and without struts. A numerical approach based on 3D finite element method is used to solve the problem. Our finite element model and the mechanical properties of the used materials are first validated from comparisons with experimental tests carried out in statics [1]. A dynamic non-linear analysis of the timber floor panels has been then conducted under a walking time history and the vibroacoustic response of the system is finally investigated.

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“…1(a), Q is precisely the charge in the upper electrode. Several models for this coupled electromechanical system can be obtained, either in an analytic fashion or using a finite-element discretization [3]. Then, a reduced order model can be obtained by expanding the displacement ≅ onto N vibration eigenmodes:…”

Section: Rl Shuntmentioning

confidence: 99%

Vibration Attenuation with Random Shunted Piezo Patches

Larbi¹,

Deü²,

Lima³

et al. 2020

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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This work deals with passive reduction of structural vibration by means of random shunted piezoelectric patches. The systems analyzed, shunted structures, are composed of a mechanical system with piezoelectric elements shunted with LR circuits. They are electromechanical systems, i.e, coupled systems. Due to the coupling, energy can be transferred between the mechanical and electromagnetic parts of the system. Tuning the electromechanical parameters, it is possible to control the energy flow between the mechanical and electromagnetic parts in a way that the amplitude of vibration of the structure is attenuated over a range of excitation frequency. The idea is to use the shunted piezoelectric patches as dampers to the structure vibration. When the shunt is perfectly tuned to the resonance frequency to control, the vibration attenuation is optimal. However, the damping performance is subjected to uncertainties in the electromechanical parameters. The objective of the paper is to quantify numerically the uncertainty in the attenuation performance of a cantilever beam with two piezoelectric patches and a resonant random "RL"shunt. The nominal values of the inductance and resistance are chosen in order to achieve maximum energy dissipation of the second mode of the cantilever beam.

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Numerical modeling of sound and vibration reduction using viscoelastic materials and shunted piezoelectric patches

Cited by 28 publications

References 27 publications

Comments on the paper “On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors” published in this journal

Comments on the paper “On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors” published in this journal

Dynamic and Vibroacoustic Response of Timber Floor Panels. Measurements and Non-Linear Numerical Simulations

Vibration Attenuation with Random Shunted Piezo Patches

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