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Solving Nonlinear Membrane-Gas Coupled Systems With Linearization Theories and Locally Reacting Boundary Conditions
Solving Nonlinear Membrane-Gas Coupled Systems With Linearization Theories and Locally Reacting Boundary Conditions
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103028
- ISBN
- 9798288864704
- DDC
- 510
- 저자명
- Feng, Zhijin.
- 서명/저자
- Solving Nonlinear Membrane-Gas Coupled Systems With Linearization Theories and Locally Reacting Boundary Conditions
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 57 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Steigmann, David;Armero, Francisco.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약This thesis is focused on some nonlinear acoustic problems that involve interactions between membrane and gas. It is indicated that with proper linearized dynamic equations and assumptions including small thickness and zero outer traction, we can linearize the traditional nonlinear balance equations for the membrane based on Lagrangian configurations into a wave equation. Similar progress is done for the gas dynamic equation, where we simplify the vector-formed equation into a wave equation by focusing on the divergence of velocity. Next, we proceed to solve the coupled wave equations between membrane and gas by using the locally reacting boundary condition that bridges between the Gauteax derivative in the membrane equation and the divergence in the gas equation, along with other traditional boundary conditions including Dirichlet and Neumann boundary conditions incorporated into this complicated system.
- 일반주제명
- Mathematics
- 일반주제명
- Mechanical engineering
- 일반주제명
- Applied mathematics
- 일반주제명
- Fluid mechanics
- 키워드
- Coupled systems
- 키워드
- Membrane theory
- 기타저자
- University of California, Berkeley Civil and Environmental Engineering
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798288864704
■035 ▼a(MiAaPQ)AAI31845556
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aFeng, Zhijin.
■24510▼aSolving Nonlinear Membrane-Gas Coupled Systems With Linearization Theories and Locally Reacting Boundary Conditions
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a57 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Steigmann, David;Armero, Francisco.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aThis thesis is focused on some nonlinear acoustic problems that involve interactions between membrane and gas. It is indicated that with proper linearized dynamic equations and assumptions including small thickness and zero outer traction, we can linearize the traditional nonlinear balance equations for the membrane based on Lagrangian configurations into a wave equation. Similar progress is done for the gas dynamic equation, where we simplify the vector-formed equation into a wave equation by focusing on the divergence of velocity. Next, we proceed to solve the coupled wave equations between membrane and gas by using the locally reacting boundary condition that bridges between the Gauteax derivative in the membrane equation and the divergence in the gas equation, along with other traditional boundary conditions including Dirichlet and Neumann boundary conditions incorporated into this complicated system.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aMechanical engineering
■650 4▼aApplied mathematics
■650 4▼aFluid mechanics
■653 ▼aContinuum mechanics
■653 ▼aCoupled systems
■653 ▼aMembrane theory
■653 ▼aNonlinear elasticity
■653 ▼aPartial differential equations
■690 ▼a0543
■690 ▼a0405
■690 ▼a0548
■690 ▼a0204
■690 ▼a0364
■71020▼aUniversity of California, Berkeley▼bCivil and Environmental Engineering.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17356747▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
