Research on flexural wave band gap of a thin circular plate of piezoelectric radial phononic crystals

Shu, Haisheng; Liu, Wei; Li, Shidan; Dong, Liqiang; Wang, Weiyuan; Liu, Shaogang; Zhao, Dan

doi:10.1177/1077546314544694

Cited by 18 publications

(14 citation statements)

References 19 publications

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“…Torrent et al (2010) and Carbonell et al (2013) analyzed the acoustic resonances in two-dimensional radial sonic crystal shell, and the energy band is solved numerically. Shu et al (2016) studied the flexural wave propagation in a thin circular plate of piezoelectric radial periodic circular plate, finding that the frequency band can be varied by outer controller. Additionally, Shu et al (2014) also made a detail research on the torsional wave of periodic circular plate.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration and Transmission Response Analysis for Torsional Vibration of Circular Annular Plate

Liu

Sun

Zhao

2021

Iran J Sci Technol Trans Mech Eng

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In this paper, free vibration and transmission response for the torsional vibration of circular annular plate are presented. To the author’s knowledge, few studies can be found for the torsional vibration from wave standpoint. For this purpose, in this study, natural frequencies for the torsional vibration of annular plate with clamped–clamped and free–free boundaries are calculated. The natural frequencies obtained by wave approach are compared with those derived by the classical method. Furthermore, transmissibility curves of the periodic annular model and Fibonacci annular model are analyzed. The finite element simulations are carried out to verify the theoretical results. Finally, the influence of inner radius and length ratio on the transmission response is also discussed. The obtained results are useful for the torsional vibration reduction of machinery structures.

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Section: Introductionmentioning

confidence: 99%

Free Vibration and Transmission Response Analysis for Torsional Vibration of Circular Annular Plate

Liu

Sun

Zhao

2021

Iran J Sci Technol Trans Mech Eng

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“…In the previous research, Shu et al have studied the band gaps of flexural wave in the radial phononic crystal. Meanwhile, numerical results are also verified by FEM [19]. Herein, this paper is mainly focused on radial vibration of composite structures.…”

Section: Introductionmentioning

confidence: 91%

Research on Radial Vibration of a Circular Plate

Liu

Wang

et al. 2016

Shock and Vibration

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Radial vibration of the circular plate is presented using wave propagation approach and classical method containing Bessel solution and Hankel solution for calculating the natural frequency theoretically. In cylindrical coordinate system, in order to obtain natural frequency, propagation and reflection matrices are deduced at the boundaries of free-free, fixed-fixed, and fixed-free using wave propagation approach. Furthermore, radial phononic crystal is constructed by connecting two materials periodically for the analysis of band phenomenon. Also, Finite Element Simulation (FEM) is adopted to verify the theoretical results. Finally, the radial and piezoelectric effects on the band are also discussed.

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“…Furthermore, several methods such as the FEM (Nobrega et al., 2016), the spectral element method (Wu and Li, 2014), the transfer matrix method (Shu et al., 2014) and differential quadrature method (Cheng et al., 2015; Xiang and Shi, 2009) have been used to analyze the band gaps in periodic structures.…”

Section: Introductionmentioning

confidence: 99%

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

Hajhosseini

Ebrahimi

2018

Journal of Vibration and Control

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In this study, an Euler–Bernoulli beam carrying periodic arrays of meander-shaped beams is introduced. Each meander-shaped beam consists of several connected beam elements. Two models with different number of beam elements are considered. In each model, the effects of geometrical parameters on the lower and upper edges of the first three band gaps are investigated using the Adomian decomposition method. Results show that the wide band gaps at low frequency ranges can be obtained by changing the geometrical parameters. Furthermore, the band gaps are very close to each other for specific values of the geometrical parameters. Another advantage of this periodic beam is that its length is shorter than other types of periodic beams. These features make this periodic beam very useful in different applications of the band gap phenomenon such as vibration absorption. The finite element simulation (ANSYS software) is used to validate the analytical results and good agreement is found.

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Research on flexural wave band gap of a thin circular plate of piezoelectric radial phononic crystals

Cited by 18 publications

References 19 publications

Free Vibration and Transmission Response Analysis for Torsional Vibration of Circular Annular Plate

Free Vibration and Transmission Response Analysis for Torsional Vibration of Circular Annular Plate

Research on Radial Vibration of a Circular Plate

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

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