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Sound Wave Propagation Through Periodic and Nonreciprocal Structures With Viscous Constituents
Sound Wave Propagation Through Periodic and Nonreciprocal Structures With Viscous Constituents
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152741
- ISBN
- 9798383203682
- DDC
- 530.1
- 저자명
- Shymkiv, Dmytro.
- 서명/저자
- Sound Wave Propagation Through Periodic and Nonreciprocal Structures With Viscous Constituents
- 발행사항
- [Sl] : University of North Texas, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 91 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
- 주기사항
- Advisor: Krokhin, Arkadii.
- 학위논문주기
- Thesis (Ph.D.)--University of North Texas, 2024.
- 초록/해제
- 요약Acoustic properties of periodic elastic structures have been a subject of active research for more than a century. Here, I derived and analyzed the dispersion equation for sound waves propagating in a periodic layered heterogeneous structure containing at least one viscous fluid as a constituent. The derivation of the dispersion equation is based on the Navier-Stokes equation for sound wave and the boundary conditions of continuity of fluid displacement and stresses at the interfaces with Bloch periodic boundary condition. The obtained dispersion equation is very general, it is valid for different combinations of elastic layers, any direction of propagation, and frequency of sound. In the case of superlattice consisting of narrow layers with high viscosity fluid and layers of ideal fluid, an acoustic analog of the Borrmann effect is predicted. In the other part of my dissertation, I study the nonreciprocal wave propagation in phononic crystals induced by viscosity. Using Fourier-transformed wave equation, I proved analytically that for an infinite phononic crystal with broken PT-symmetry dispersion relation remains the same switching the direction of the wave propagation, while Fourier components of velocity are nonreciprocal. I optimized shape of the scatterer to reach the highest value of the nonreciprocity in a two-dimensional finite phononic crystal. Sound propagation through crystals with various unit cells is numerically simulated with COMSOL Multiphysics to create a dataset of transmission values. For each introduced parameter the optimized scatterer's geometries are obtained utilizing machine learning techniques. I found parameters of the crystal, which may serve as a linear non-resonant passive acoustic diode.
- 일반주제명
- Theoretical physics
- 일반주제명
- Acoustics
- 일반주제명
- Physics
- 키워드
- Phononic crystal
- 키워드
- Superlattice
- 키워드
- Viscosity
- 키워드
- Dissipation
- 키워드
- Nonreciprocity
- 기타저자
- University of North Texas Department of Physics
- 기본자료저록
- Dissertations Abstracts International. 86-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152741
■006m o d
■007cr#unu||||||||
■020 ▼a9798383203682
■035 ▼a(MiAaPQ)AAI31520117
■035 ▼a(MiAaPQ)0158vireo3783Shymkiv
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aShymkiv, Dmytro.
■24510▼aSound Wave Propagation Through Periodic and Nonreciprocal Structures With Viscous Constituents
■260 ▼a[Sl]▼bUniversity of North Texas▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a91 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-01, Section: B.
■500 ▼aAdvisor: Krokhin, Arkadii.
■5021 ▼aThesis (Ph.D.)--University of North Texas, 2024.
■520 ▼aAcoustic properties of periodic elastic structures have been a subject of active research for more than a century. Here, I derived and analyzed the dispersion equation for sound waves propagating in a periodic layered heterogeneous structure containing at least one viscous fluid as a constituent. The derivation of the dispersion equation is based on the Navier-Stokes equation for sound wave and the boundary conditions of continuity of fluid displacement and stresses at the interfaces with Bloch periodic boundary condition. The obtained dispersion equation is very general, it is valid for different combinations of elastic layers, any direction of propagation, and frequency of sound. In the case of superlattice consisting of narrow layers with high viscosity fluid and layers of ideal fluid, an acoustic analog of the Borrmann effect is predicted. In the other part of my dissertation, I study the nonreciprocal wave propagation in phononic crystals induced by viscosity. Using Fourier-transformed wave equation, I proved analytically that for an infinite phononic crystal with broken PT-symmetry dispersion relation remains the same switching the direction of the wave propagation, while Fourier components of velocity are nonreciprocal. I optimized shape of the scatterer to reach the highest value of the nonreciprocity in a two-dimensional finite phononic crystal. Sound propagation through crystals with various unit cells is numerically simulated with COMSOL Multiphysics to create a dataset of transmission values. For each introduced parameter the optimized scatterer's geometries are obtained utilizing machine learning techniques. I found parameters of the crystal, which may serve as a linear non-resonant passive acoustic diode.
■590 ▼aSchool code: 0158.
■650 4▼aTheoretical physics
■650 4▼aAcoustics
■650 4▼aPhysics
■653 ▼aPhysical acoustics
■653 ▼aPhononic crystal
■653 ▼aSuperlattice
■653 ▼aViscosity
■653 ▼aDissipation
■653 ▼aNonreciprocity
■690 ▼a0986
■690 ▼a0753
■690 ▼a0605
■71020▼aUniversity of North Texas▼bDepartment of Physics.
■7730 ▼tDissertations Abstracts International▼g86-01B.
■790 ▼a0158
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163690▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
