Torsional wave propagation in a circular plate of piezoelectric radial phononic crystals

Shu, Haisheng; Zhao, Lei; Shi, Xiaona; Liu, Wei; Shi, Dongyan; Kong, Fankai

doi:10.1063/1.4935451

Cited by 17 publications

(5 citation statements)

References 35 publications

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“…Ma et al (2014) studied the band structures of bilayer radial phononic crystal plate with crystal gliding. Shu et al (2015) analyzed the torsional vibration of piezoelectric radial phononic crystal plate. The effects of structural and piezoelectric parameters on the band gaps were also discussed in detail.…”

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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“…For torsional vibration suppression, Shu et al (2014) studied the propagation of torsional wave in a thin circular plate of generalized PCs. Shu et al (2015) proposed a one-dimensional circular plate of piezoelectric radial phononic crystals and found the outer control gain has a significant effect on the torsional wave propagation. Fan et al (2019) designed a stack-like resonators consisting of periodically annular rubber, the finite element method (FEM) was used to study the longitudinal, torsional, and flexural vibration characteristics of the structure.…”

Section: Introductionmentioning

confidence: 99%

Analysis of flexural and torsional vibration band gaps in phononic crystal beam

Wang

Wan

Hong

et al. 2022

Journal of Vibration and Control

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Phononic crystals (PCs) play an important role in the reduction of vibration within a targeted frequency range. Most research of the one-dimensional PCs focuses on the properties or applications of the flexural band gaps; however, practically, the broadband environmental excitations also induce the torsional vibration. Hence, this paper studies a two-degrees-of-freedom local resonance (2DOF-LR) phononic crystal, which can both suppress the propagation of flexural and torsion waves in the same frequency range. To improve the computational efficiency, the Timoshenko theory with a modified transfer matrix (MTM) approach is used for flexural vibration band structure analysis. Through the finite element method (FEM), the vibration attenuation characteristics of the structure within the band gaps are verified. A comprehensive study is conducted to investigate the effects of geometric and material parameters on the attenuation characteristics of the phononic crystal. Finally, a prototype of the proposed phononic crystal is fabricated for the vibration experiment. It is worth noting that a novel experimental setup using the lever principle is designed in this paper to verify the torsional band gap. The frequency ranges of the experimental vibration attenuation match well with the numerical results.

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“…Actually, compared with periodic structures, the Fibonacci (nonperiodic) structures can exhibit many unique dynamic behaviors. In our earlier work, stop band of torsional wave for the Fibonacci RPC [18] has been primitively investigated. However, few studies on transverse wave stop band can be found.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Transverse Wave for the Piezoelectric Radial Phononic Crystal Annular Plate in a Fibonacci Order

Liu

2021

Shock and Vibration

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Based on the previous conventional phononic crystal (PC) structures infinitely periodic in Cartesian coordinates, this paper addresses a new radial phononic crystal annular plate (RPCAP) modeled in a Fibonacci order along the radial direction. In this study, piezoelectric material PZT4 is simultaneously inserted into this RPCAP model to investigate the stop band behaviors. In order to clearly show the transmission characteristics of transverse wave, in cylindrical coordinates, the transfer matrix is deduced through combining the general solutions, piezoelectric governing equations, and continuity conditions. Compared with conventional PC structures, transmission response of transverse vibration for the Fibonacci RPCAP model is calculated theoretically to analyze the stop band phenomenon. Finite element simulation method (FEM) is conducted here to verify the theoretical results. The results show that the Fibonacci RPCAP model presents two newly emerging resonance frequencies while the radial periodic order is disorganized. To thoroughly understand the RPCAP, the effects of structural parameters, material parameters, and piezoelectric parameters on the stop band are discussed in detail. The proposed Fibonacci RPCAP can be employed in many engineering applications, such as in rotating parts which are often coupled with transverse vibration (like gear driving systems).

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Torsional wave propagation in a circular plate of piezoelectric radial phononic crystals

Cited by 17 publications

References 35 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

Analysis of flexural and torsional vibration band gaps in phononic crystal beam

Propagation of Transverse Wave for the Piezoelectric Radial Phononic Crystal Annular Plate in a Fibonacci Order

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