On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration

Pelat, Adrien; Gallot, Thomas; Gautier, François

doi:10.1016/j.jsv.2019.01.029

Cited by 62 publications

(14 citation statements)

References 34 publications

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“…Results indicate that β essentially controls band gaps bandwidth and has a relatively weaker effect on their central frequencies. Such tendancy has already been observed in the case of monolitic corrugated beams 41 .…”

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confidence: 61%

Experimental evidence of absolute bandgaps in phononic crystal pipes

Plisson

Pelat

Gautier

et al. 2020

Applied Physics Letters

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The vibration filtering properties of a phononic crystal pipe whose unit cell consists of two segments of different materials and cross sections are studied numerically and experimentally. Such an architected bi-material pipe leads to the alignment of the dispersion branches in the same frequency ranges for all types of waves (flexural, longitudinal, and torsional), leading to an absolute bandgap. Each motion is studied by a 1D model in which the propagation of Floquet–Bloch waves in lossy media is considered. Numerical optimization is based on the simplex algorithm and aims to control both the central frequency and the bandwidth of the absolute bandgap on a selected target. Experimental characterization of a demonstrator confirms the filtering effects due to partial and absolute bandgaps even in the presence of quite high structural damping.

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confidence: 61%

Experimental evidence of absolute bandgaps in phononic crystal pipes

Plisson

Pelat

Gautier

et al. 2020

Applied Physics Letters

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“…The resulting loss factor estimate is valid for thin and for thick plates. An interesting application could be to use this definition and damping identification methodologies on other complex structures like ribbed panels [28], periodic structures / meta-materials [40] Table 2). 12 4 K-space representation of the correlation factor of IWC applied on the measurements of the laminated composite plate at f = 2 kHz (a), 5 kHz (b) and 8 kHz (c).…”

Section: Resultsmentioning

confidence: 99%

On the structural dynamics of laminated composite plates and sandwich structures; a new perspective on damping identification

Marchetti

Ege

Leclère

et al. 2020

Journal of Sound and Vibration

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This paper presents the modelling and the dynamic characterization of laminated composite plates and sandwich structures in terms of stiffness and damping. The developments used in this paper are based on the analytical multilayer model of Guyader and Lesueur (JSV, 1978). The model considers linear shear, membrane and bending effects in each layer. The characteristics of the structure are determined by means of an equivalent thin plate methodology. The first main novelty of this paper consists in adapting this methodology for laminated plates (orthotropic multilayers with arbitrary orthotropic angle per layer). An experimental validation of this adaptation is presented for a laminated composite plate. Concerning the modelling of the structural loss factor, a space domain definition based on the spatial attenuation of a plane wave is compared to an energetic method and an equivalent definition based on the thin plate theory. The results show that the equivalent definition overestimates the loss factor in high frequencies since the thin plate theory only considers the flexural behaviour of the structure. On the contrary, the space domain definition (which give similar results as compared to the energetic one for lightly damped structures) considers the frequency dependent variation of the dynamic behaviour of the structure by means of the ratio between the group and phase velocities. The latter approach is considered to be more correct. The second main novelty of this article is on the experimental validation of this space domain definition. The structural loss factors of two sandwich structures are Article published in Journal of Sound and Vibration identified from measurements using modal, energetic and spatial methods. The results using the space domain definition are in very good agreement with the analytical predictions and the estimations of the modal and energetic methods for both plates for a large frequency band (up to 20 kHz), demonstrating the validity of the approach developed in this paper.

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“…The side plates are connected to the gearbox housing by bolts and pins. Considering the need for numerical calculations, the features with less impact are simplified [43][44][45], and the resulting gearbox physical model is shown in Figure 2.…”

Section: The Composition Of the Gearboxmentioning

confidence: 99%

Dynamic Performance Optimization of Circular Sawing Machine Gearbox

Wang

Wen

et al. 2019

Applied Sciences

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To optimize the rigidity and dynamic mechanical properties of a sawing machine and improve its processing quality and stability, a design method for the sawing machine’s gearbox was proposed. First, a lightweight design of the gearbox was realized by topology optimization. Second, the sensitivity of different design variables of the new gearbox was determined via sensitivity analysis of the objective function. Finally, multi-objective optimization was used to obtain the optimal solution for the gearbox. Considering the complexity of the internal structure of the gearbox assembly and the accuracy of the numerical calculation process, a modeling method with mass points was proposed. A comparison between the numerical calculation results and the operation mode analysis revealed that the former was accurate and can be applied to the verification of the optimized gearbox. By optimizing the vibration signals before and after, and the analysis of the end face quality of the workpiece, the results revealed that the optimized gearbox has a significantly reduced amplitude under various operating conditions. In addition, the vibration stability was improved, and the end face quality of the workpiece was significantly enhanced compared to that before optimization. This study serves as a theoretical reference for multi-body dynamics modeling and optimization of machine tools, and also outlines technical solutions for high-speed stable cutting with sawing machines.

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On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration

Cited by 62 publications

References 34 publications

Experimental evidence of absolute bandgaps in phononic crystal pipes

Experimental evidence of absolute bandgaps in phononic crystal pipes

On the structural dynamics of laminated composite plates and sandwich structures; a new perspective on damping identification

Dynamic Performance Optimization of Circular Sawing Machine Gearbox

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