Damping analysis of a flexible cantilever beam containing an internal fluid channel: Experiment, modeling and analysis

Wang, Ya; Masoumi, Masoud; Gaucher-Petitdemange, Matthias

doi:10.1016/j.jsv.2014.12.014

Cited by 9 publications

(5 citation statements)

References 11 publications

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“…One might expect the damping curves from the analytical model pass through the experimental data as illustrated in Figure 19. This is unlikely to occur due to the discrepancy in the natural frequencies between the two models where the damping ratio is inversely proportional to the resonant frequency based on Equation (25). By pairing the instantaneous amplitude with the instantaneous frequency, the backbone curve can be constructed as illustrated in Figure 21a.…”

Section: Discussionmentioning

confidence: 99%

“…Numerous factors contribute to the generation of damping-e.g., aspect ratio [22,23] and fluid properties [13,24,25]-therefore estimating the exact damping values can be quite challenging. Nonetheless erroneous damping estimations result in considerable errors in the prediction of the dynamic responses, therefore this has been the topic of several research works.…”

Section: Introductionmentioning

confidence: 99%

“…Nonetheless erroneous damping estimations result in considerable errors in the prediction of the dynamic responses, therefore this has been the topic of several research works. The most common technique for calculating the damping is the quadrature peak picking method [26] (or the half-power point method in [27]) which is largely used in FSI characterisations [13,22,23,25,28]. Some low excited modes can create a distorted peak in the frequency response function which leads to an error in the quadrature peak picking method.…”

Section: Introductionmentioning

confidence: 99%

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Investigating the Influence of Fluid-Structure Interactions on Nonlinear System Identification

2020

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A complex fluid-structure interaction can often create nonlinear dynamic behaviour in the structure. This can be better estimated using nonlinear modal analysis, capable of identifying and quantifying the nonlinearity in the structure. In this study, the case of a vibrating beam submerged in liquid using a nonlinear parameter identification method is presented. This system is considered as an alternative propulsion mechanism, hence understanding the interaction between the fluid and the structure is necessary for its control. Here, impulse signals are used to characterise the numerical and experimental dynamics response of the system. Since the transient responses contain of a multi-component vibratory signals, a vibration decomposition method is used to separate the time response signals based on the dominant amplitude in the frequency response function. The separated time-series signals are then fitted to the nonlinear identification method to construct the backbone and damping curves. The modal parameters obtained from experimental data are then used as a base for the development of the analytical models. The analytical approaches are based on the Euler-Bernoulli beam theory with additional mass and quadratic damping functions to account for the presence of the fluid. Validations are carried out by comparing the dynamic responses of the analytical and experimental measurements demonstrating the accuracy of the model and hence, its suitability for control purposes.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigating the Influence of Fluid-Structure Interactions on Nonlinear System Identification

2020

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“…The internal fluid flows in the micro-channels significantly change the dynamic behaviours of the micro-cantilevers under external forces. Frequency responses of the microcantilevers with high-viscosity internal fluids are investigated based on the results obtained in modal analysis and experimental studies [21]. It has been demonstrated in [22] that the Poissonʼs ratio of the material of microcantilever with a micro-fluidic channel in its interior affects significantly the energy dissipation when compared with the conventional micro-cantilevers immersed in the fluids.…”

Section: Introductionmentioning

confidence: 99%

A multi-modal nonlinear dynamic model to investigate time-domain responses of a micro-cantilever in fluids

Yilmaz

2024

Eng. Res. Express

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In this current work, a new nonlinear dynamic model based on the forced Van der Pol oscillator is introduced to demonstrate the time-domain sensitivities of the micro-cantilever to the varying properties of the surrounding fluids. Effects of diverse multi-frequency excitations on the hydrodynamically forced displacements are investigated for the Glycerol-water solutions with different concentrations. Driving forces at the eigenmode frequencies are applied simultaneously to actuate the micro-cantilever in multi-modal operations. The hydrodynamic force induces notable variations in the observables of high-frequency steady-state vibrations. To illustrate, the frequency of the displacements decreases with increasing dynamic viscosity and density of the fluids (among 55% and 85% Glycerol-water solutions) in bimodal- and trimodal-frequency excitations. Essentially, the observable responses are often used to distinguish the surrounding fluids in which the micro-cantilever operates. In addition, steady-state observables are achieved at only particular eigenmodes in single- and multi-frequency operations. It is highlighted that the periodic oscillations are obtained for the first and second eigenmodes with the highest value of forced Van der Pol parameter (μ =1030). Clearly, higher eigenmodes require different values of the nonlinearity parameter to acquire periodic vibrations in multi-modal operations. In general, achieving steady-state observables is substantially critical in quantifying sensitivity to varying fluid properties. For instance, the vibration frequency of around 7.33 MHz and amplitude of around 0.03 pm are obtained at the first eigenmode for 75% Glycerol-water solution in tetra-modal operations. Note that femtometer amplitudes of deflections can be measured using quantum-enhanced AFM techniques. The frequency responses obtained in this work are compared with the measured ones in the literature and the results show satisfactory agreements. Therefore, a novel multi-modal nonlinear dynamic model enables to quantify observable sensitivity to micro-rheological properties at higher eigenmodes of the micro-cantilever.

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“…Electrostatically actuated suspended microchannel resonators are one kind of coupled systems which involve microcantilever, laminar flow, flowing particle and electrical field. Many researchers have paid attention to dynamics of microbeams conveying fluids in the past years [ 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]. Rinaldi et al [ 32 ] initiated the theoretical analysis of miniaturized beam resonators conveying internal fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Pull-In Effect of Suspended Microchannel Resonator Sensor Subjected to Electrostatic Actuation

Yan

Zhang

Jiang

et al. 2017

Sensors

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In this article, the pull-in instability and dynamic characteristics of electrostatically actuated suspended microchannel resonators are studied. A theoretical model is presented to describe the pull-in effect of suspended microchannel resonators by considering the electrostatic field and the internal fluid. The results indicate that the system is subjected to both the pull-in instability and the flutter. The former is induced by the applied voltage which exceeds the pull-in value while the latter occurs as the velocity of steady flow get closer to the critical velocity. The statically and dynamically stable regions are presented by thoroughly studying the two forms of instability. It is demonstrated that the steady flow can remarkably extend the dynamic stable range of pull-in while the applied voltage slightly decreases the critical velocity. It is also shown that the dc voltage and the steady flow can adjust the resonant frequency while the ac voltage can modulate the vibrational amplitude of the resonator.

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Damping analysis of a flexible cantilever beam containing an internal fluid channel: Experiment, modeling and analysis

Cited by 9 publications

References 11 publications

Investigating the Influence of Fluid-Structure Interactions on Nonlinear System Identification

Investigating the Influence of Fluid-Structure Interactions on Nonlinear System Identification

A multi-modal nonlinear dynamic model to investigate time-domain responses of a micro-cantilever in fluids

Pull-In Effect of Suspended Microchannel Resonator Sensor Subjected to Electrostatic Actuation

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