Using PWE/FE Method to Calculate the Band Structures of the Semi-Infinite PCs : Periodic in x-y Plane and Finite in z–direction

Qian, D.; Shi, Z.

doi:10.1515/aoa-2017-0076

Artykuł - szczegóły

Tytuł artykułu

Using PWE/FE Method to Calculate the Band Structures of the Semi-Infinite PCs : Periodic in x-y Plane and Finite in z–direction

Autorzy

Qian D. , Shi Z.

Treść / Zawartość

Pełne teksty:

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Identyfikatory

DOI

10.1515/aoa-2017-0076

Warianty tytułu

Języki publikacji

Abstrakty

This paper introduces the concept of semi-infinite phononic crystal (PC) on account of the Infinite periodicity in x-y plane and finiteness in z-direction. The plane wave expansion and finite element methods are coupled and formulized to calculate the band structures of the proposed periodic elastic composite structures based on the typical geometric properties. First, the coupled plane wave expansion and finite element (PWE/FE) method is applied to calculate the band structures of the Pb/rubber, steel/epoxy and steel/aluminum semi-infinite PCs with cylindrical scatters. Then, it is used to calculate the band structure of the Pb/rubber semi-infinite PC with cubic scatter. Last, the band structure of the rubbercoated Pb/epoxy three-component semi-infinite PC is calculated by the proposed method. Besides, all the results are compared with those calculated by the finite element (FE) method implemented by adopting COMSOL Multiphysics. Numerical results and further analysis demonstrate that the proposed PWE/FE method has strong applicability and high accuracy.

Słowa kluczowe

semi-infinite phononic crystal coupled plane wave expansion finite element method band structure

Wydawca

Instytut Podstawowych Problemów Techniki PAN
Komitet Akustyki PAN
Polskie Towarzystwo Akustyczne

Czasopismo

Archives of Acoustics

Rocznik

2017

Tom

Vol. 42, No. 4

Strony

735--742

Opis fizyczny

Bibliogr. 38 poz., rys., tab., wykr.

Twórcy

autor

Qian D.

State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu, 210016, China

autor

Shi Z.

zyshi@nuaa.edu.cn

State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu, 210016, China

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-3a65362f-a770-489c-b41f-75585ea27495