Analysis of vibration band gaps in an Euler–Bernoulli beam with periodic arrays of meander-shaped beams

Hajhosseini, Mohammad; Ebrahimi, Saeed

doi:10.1177/1077546318768995

Cited by 8 publications

(2 citation statements)

References 22 publications

(24 reference statements)

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“…As the elastic wave propagation in the periodic structures, the frequency band gap feature can be produced (Guo and Sheng, 2018;Hajhosseini and Ebrahimi, 2019;Huang et al, 2017;Li et al, 2019;Zuo et al, 2016). In the band gap frequency range, the elastic waves are forbidden to transmit through the whole periodic structures and can attenuate quickly near the disturbance sources (Ren et al, 2020;Wang et al, 2019;Ying and Ni, 2018).…”

Section: Introductionmentioning

confidence: 99%

Vibration response and band gap characteristics of functionally graded frame structure

Liu

Yuan³

et al. 2020

Journal of Vibration and Control

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Vibration response and band gap characteristics of the functionally graded frame structures are investigated based on the first-order shear deformation theory. The material properties of functionally graded material rods vary continuously in thickness direction according to a power law. Spectral stiffness matrix of the periodic functionally graded material frame structure in the global coordinate system is derived in detail. Consequently, the vibration band gap properties of the functionally graded material frame structure can be calculated and analyzed by using the spectral element method. The calculation accuracy for dynamic responses of the functionally graded material frame structure is validated by the finite element method. The results demonstrate that the wider band gaps in the low and medium frequency ranges can be achieved for the functionally graded frame structures comparing with the homogeneous ones. Moreover, the frequency windows and ranges for the band gaps of the functionally graded material frame structure can be effectively adjusted through designing the gradient indexes for the functionally graded material rods, which provide a novel idea for vibration suppression of frame structures.

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Section: Introductionmentioning

confidence: 99%

Vibration response and band gap characteristics of functionally graded frame structure

Liu

Yuan³

et al. 2020

Journal of Vibration and Control

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“…Besides the mentioned methods, other methods such as the Adomian decomposition (Hajhosseini and Ebrahimi, 2019), the transfer matrix (Guo et al, 2018), the lumped-mass (Wang et al, 2004), the plane wave expansion (Wang et al, 2019), the lattice dynamics (Chang et al, 2018), the multiple scattering (Psarobas et al, 2000), the wave finite element (Nobrega et al, 2016), and the finite-difference time-domain methods (Sun and Wu, 2007) were also used to study the vibration bandgap properties of different periodic structures. Each method has some advantages and some disadvantages.…”

Section: Introductionmentioning

confidence: 99%

Analysis of complete vibration bandgaps in a new periodic lattice model using the differential quadrature method

Hajhosseini

2020

Journal of Vibration and Control

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In this study, a new periodic lattice model with special vibration-absorbing properties is introduced. This periodic structure consists of the connected beam elements with circular cross-sections. Four models with different sets of cross-sectional radii are considered for this periodic lattice. The theoretical equations of longitudinal, torsional, and transverse vibrations of beams are solved using the combination of generalized differential quadrature and generalized differential quadrature rule methods to calculate the first three complete bandgaps. Investigating the effects of geometrical parameters on the bandgaps shows that all bands are close to each other for specific values of the cross-sectional radii. Having close bandgaps means that this periodic structure has a relatively wide bandgap in total. Furthermore, this wide band can move to low-frequency ranges by changing the lattice thickness. Absorbing both in-plane and out-of-plane vibrations over a wide bandgap at low-frequency ranges makes this periodic lattice a good vibration absorber. Verification of the analytical method using ANSYS software shows that the combination of generalized differential quadrature and generalized differential quadrature rule methods can be used for vibration analysis of two- or three-dimensional structures such as frames and trusses with high accuracy.

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Flexural wave propagation and attenuation through Timoshenko beam coupled with periodic resonators by the method of reverberation-ray matrix

Tang

Pang

Zhang

et al. 2021

European Journal of Mechanics - A/Solids

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Analysis of vibration band gaps in an Euler–Bernoulli beam with periodic arrays of meander-shaped beams

Cited by 8 publications

References 22 publications

Vibration response and band gap characteristics of functionally graded frame structure

Vibration response and band gap characteristics of functionally graded frame structure

Analysis of complete vibration bandgaps in a new periodic lattice model using the differential quadrature method

Flexural wave propagation and attenuation through Timoshenko beam coupled with periodic resonators by the method of reverberation-ray matrix

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