Torsional wave propagation in a piezoelectric radial phononic crystals

Chai, Zhuoye; Wang, Donghua; Liu, Wei; Kong, Defeng

doi:10.3397/1/376361

Cited by 9 publications

(3 citation statements)

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“…e effects of structural parameters and outer active control on the stop bands were analyzed [12]. In order to control the torsional wave propagation in the circular plate, Chai et al [13] studied the Bragg scattering and locally resonant bands of torsional wave in the piezoelectric RPC, finding that the stop bands could be effectively varied through adjusting the external circuit parameters. Xu et al [14] employed the transfer matrix method to analyze the low-frequency phononic bands of a two-dimensional arc-shaped PC in cylindrical coordinates.…”

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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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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“…Various PnC rods, 18,19) as well as the structures (such as pipes) based on them 20) have been proposed. The BG properties of flexural wave, 21) longitudinal wave, 22) torsional wave 23) in straight rods, coupling flexural and longitudinal wave in undulated rods 24) have all been studied. Tunable PnC rods based on piezoelectric materials 25) and tension loads 26) have also been put forward, and they all undoubtedly depend on durable external factors.…”

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confidence: 99%

Tunable bandgaps in free/lock switchable foldable polyline-rod: an introduction of tunable phononic crystals independent of durable external factors

Han¹,

Zhang²,

Li³

et al. 2019

Appl. Phys. Express

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We introduce a new principle independent of durable external factors in designing tunable solid phononic crystals (PnCs), to manufacture low-energy, simple and reliable tunable PnC devices. The free/lock switchable foldable polyline-rod, which has the powerful folding capacity under external factors for bandgap tuning, and the self-fixed capacity after the removal of external factors for bandgap maintenance, is proposed as an example. From the dispersion relation computations and frequency response tests, the proposed structure without special material requirements or complex deformations, is confirmed to give wide predictable tunable bandgaps effectively targeting any in-plane excitations, without relying on durable external factors.

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“…encontrados foram: Basta; Ghommem & Emam (2020),Beli et al (2018-a),Beli et al (2018-b),Gao & Guan (2016), Li et al (2018,Haisheng et al (2014),Zhao et al (2108) eChai et al (2016).Nesse contexto, o presente trabalho apresenta o desenvolvimento conceitual de um absorvedor de vibrações periódico a ser aplicado em sistemas rotativos embarcados. Este sistema deve possuir a propriedade de atenuar as vibrações em faixas de frequências críticas para o equipamento, definindo assim o diagrama de dispersão necessário para o mesmo.…”

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Utilização de materil com características periódicas para redução de vibrações em rotor embrcado

Lima¹

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This work presents an elastic wave attenuation numerical method for onboard rotors with periodic material bases, materials with the ability to attenuate mechanical waves within certain frequency bands (bandgaps). Periodic bases are used to reduce the effects of external forces within onboard rotors, such as in aeronautical turbines, and the quality of machine tools finishing. In this study, two kinds of phononic materials were studied, the first one uses the Bragg Scattering mechanism and is composed of layers (lattices) of lead and epoxy, and the other one uses the local resonance mechanism being composed of lead lattices and a parallel mass-spring assembly. The dispersion diagram of the Bragg scattering phononic material shows a bandgap between the frequencies of 448 and 2587 Hz, and the locally resonant material presents a bandgap in the neighborhood of 60 Hz. Within its bandgap the periodic materials presented a significant reduction of the displacement produced by the base, however, the periodic base cannot affect the vibration generated by the internal components of the rotor (imbalance mass, components weight and elastic deflection), the displacement produced by the components of the rotor is of 10 -4 meters. The simulations evaluated the vibrating behavior of an embedded rotor submitted to base excitations in continuous and periodic bases using the Bragg scattering and locally resonant materials, and the simulation results showed a significant reduction in the displacement amplitude of the periodic onboard rotor disc within its bandgaps frequencies.

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Torsional wave propagation in a piezoelectric radial phononic crystals

Cited by 9 publications

References 0 publications

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

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

Tunable bandgaps in free/lock switchable foldable polyline-rod: an introduction of tunable phononic crystals independent of durable external factors

Utilização de materil com características periódicas para redução de vibrações em rotor embrcado

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