Bandgap of flexural wave in periodic bi-layer beam

Guo, Zhiwei; Sheng, Meiping

doi:10.1177/1077546316640975

Cited by 13 publications

(12 citation statements)

References 36 publications

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“…Extensive research has been carried out, incorporating periodicity to generate the acoustic and elastic wave bandgaps, see De Espinosa et al (1998), Shi et al (2014), Xiang et al (2012) and Guo and Sheng (2018). Xiuchang et al (2011) described the development of a periodic structure mechanical filter with the potential to reduce vibration transmission and sound radiation at resonances of the foundation by using the bandgap properties of the periodic structure in a two-degree-of-freedom vibration isolation system.…”

Section: Introductionmentioning

confidence: 99%

Vibration attenuation and bandgap characteristics in plates with periodic cavities

Das

Dwivedi

Sabareesh

et al. 2020

Journal of Vibration and Control

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Plates with periodic cavities show excellent vibration attenuation characteristics. This behavior can be attributed to the presence of frequency bandgaps on account of interference between the incident wave and the reflected wave from the cavities. The present work investigates the vibration attenuation/bandgap characteristics of plates with varying shapes of periodic cavities, such as square, circular, vertical rectangle, and horizontal rectangle, through experiments and simulation. Vibration responses of different periodic plates have been studied by carrying out frequency sweep on a vibration shaker. The investigation has been restricted to flexural vibrations of the plates, which are the predominant mode of vibration in many practical vibration scenarios. The frequency bandgaps, observed through the experiment, have been compared with the numerical simulation by harmonic analysis and by carrying out dispersion analysis on a unit cell of the periodic structure using Floquet–Bloch theory. Dispersion curves of the periodic plates yielded bandgaps, which were observed to be in agreement with the bandgaps from the experiment. The effect of variation in the aspect ratio of the cavities, that is length-to-width ratio, on the bandgaps has also been examined. It has been demonstrated that by suitable selection of the shape/size of the periodic cavity, desired vibration attenuation bandgaps can be realized for a 2-dimensional structure.

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Section: Introductionmentioning

confidence: 99%

Vibration attenuation and bandgap characteristics in plates with periodic cavities

Das

Dwivedi

Sabareesh

et al. 2020

Journal of Vibration and Control

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show abstract

“…On the basis of previous studies, the method of varying amplitudes was employed to study the propagation characteristics of transverse waves in a finite string with a periodically modulated cross-section (Sorokin and Thomsen, 2017). Using the finite element method, Guo and Sheng (2018) investigated the propagation characteristics and attenuation behavior of flexural waves through periodic bilayer beams. The above researches have brought great inspiration, that is the flexural wave scattering relationship which is deduced based on the compatibility of the displacements and the equilibrium of the generalized forces at the joints, can be used to establish the constraint conditions of the displacement functions of the beam and cable.…”

Section: Introductionmentioning

confidence: 99%

Study of flexural wave propagation through a cable stayed beam subjected to a moving load

Wang

et al. 2022

Advances in Structural Engineering

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A physical perspective of the propagation and attenuation of flexural waves is presented in this paper for the dynamic behaviors of cable stayed beams subjected to a moving load. Based on the method of reverberation-ray matrix (MRRM), the waveform solutions of the wave equations of a simplified beam-cable system subjected to a moving load (hereinafter referred to as a beam-cable system) are given, and the theory is verified by a numerical example. The dynamic response of cable stayed beams is decomposed into nine kinds of flexural waves, including traveling waves, near-field waves, and nondispersive waves, according to the wavenumber characteristics. Numerical examples are analyzed to demonstrate the propagation characteristics of flexural waves through cable stayed beams. Numerical results show that the flexural waves in the cable stayed beams are mainly low-frequency waves whose frequencies are less than 3 times the structural fundamental frequency, which can be used to further improve the computational efficiency of response analysis method based on MRRM, and the proportion of high-frequency components increases gradually with increasing structural stiffness. The near-field wave can be transformed into a traveling shear wave when its frequency is larger than the critical frequency, which decreases with increasing radius of gyration and decreasing elastic modulus of the beam. With the increase in the radius of gyration and the elastic modulus of the beam, the attenuation effect of the near-field wave weakens. The wave velocity and the wave dispersion effect have a positive correlation with the stiffness-related parameters of the beam-cable system. The study of the effect of the beam-cable system parameters on flexural wave propagation characteristics can be applied to achieve a better dynamic design for engineering structures.

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“…Lougou et al (2015) proposed a double scale asymptotic method to predict damping properties and stop bands in large repetitive sandwich structures with viscoelastic cores. Guo and Sheng (2016) studied flexural waves’ bandgaps in periodic bi-layer beams. Zhang et al (2018a, 2018b) developed new models to find bandgaps for wave propagation in composite beam structures using microstructural approaches.…”

Section: Introductionmentioning

confidence: 99%

Analysis of periodic laminated fiber-reinforced composite beams in free vibration

Bishay

Rodríguez

2021

Journal of Vibration and Control

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The dynamic behavior of solid structures is an important aspect that must be considered in the design phase to ensure that the designed structure will have desired response under external excitation. Periodic structures offer various design possibilities that can tailor the dynamic behavior of the structure to match the desired response under a given applied excitation. The use of laminated fiber-reinforced composite materials in periodic structures further increases the design degrees of freedom by introducing new design parameters, such as the number of plies in each periodic patch and their fiber-orientation angles. In this article, the classical lamination theory is integrated with the forward approach of the wave finite element method to analyze periodic fiber-reinforced composite beams in flexural vibration. Since Euler–Bernoulli’s beam theory is used, the proposed approach is much simpler and computationally efficient than using laminated shell finite elements. The article shows the effects of the number of periodic cells, the segment length ratio, the number of plies in each periodic patch, and their fiber-orientation on the first stop band of the beam. The results reported can guide the design of such structures to attenuate vibration amplitudes at specific target frequency bands and avoid undesired dynamic responses. Results have been validated in the 0–2000 Hz frequency range by comparison with finite element laminated shell models.

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Bandgap of flexural wave in periodic bi-layer beam

Cited by 13 publications

References 36 publications

Vibration attenuation and bandgap characteristics in plates with periodic cavities

Vibration attenuation and bandgap characteristics in plates with periodic cavities

Study of flexural wave propagation through a cable stayed beam subjected to a moving load

Analysis of periodic laminated fiber-reinforced composite beams in free vibration

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