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Topology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces
Topology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152959
- ISBN
- 9798346387275
- DDC
- 516.15
- 서명/저자
- Topology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces
- 발행사항
- [Sl] : The Pennsylvania State University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 197 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- 주기사항
- Advisor: Shokouhi, Parisa.
- 학위논문주기
- Thesis (Ph.D.)--The Pennsylvania State University, 2024.
- 초록/해제
- 요약This research presents a systematic design methodology for resonant structures exhibiting particular dynamic responses by implementing a two-fold eigenfrequency-based approach to match antiresonances with target frequencies subject to harmonic loads and to generate resonance gaps around specific frequencies. This design methodology, formulated as gradient-based density-based topology optimization, introduces a computationally efficient approach for 3D dynamic problems requiring resonance or antiresonance manipulation by combining classical eigenfrequency design approaches with a novel harmonic-informed eigenmode identification strategy. The optimization's objective function minimizes the error between target antiresonances and the actual structure's antiresonance eigenfrequencies, and maximizes the difference between a prescribed frequency and all neighbor resonance eigenfrequencies. The harmonic analysis-informed identification strategy compares harmonic displacement fields against eigenvectors using a modal assurance criterion, ensuring an accurate recognition and selection of appropriate eigenmodes. Simultaneously, this design methodology effectively prevents well-known problems in topology optimization of eigenfrequencies such as localized eigenmodes, repeated eigenfrequencies, and eigenmodes switching order; a new eigenmode identification approach removes these problems by analyzing the eigenvectors' response. Multiple case studies demonstrate that the proposed design methodology generates resonant structures exhibiting specific resonances and antiresonances at the desired frequencies subject to multiple harmonic loads, given different design domain dimensions, mesh discretizations, or material properties. The developed methodology enables the design of elastic/acoustic metamaterials without relying on commonly used dispersion curves design methodologies and, presents a computationally efficient approach to conceiving metamaterials by designing single resonant units, instead of unit cells that require periodicity and several assumptions. Multiple numerical and experimental studies demonstrate the optimized resonators' effectiveness in controlling surface and plate wave propagation when arranged as locally resonant metasurfaces.
- 일반주제명
- Symmetry
- 일반주제명
- Design
- 일반주제명
- Acoustics
- 일반주제명
- Boundary conditions
- 일반주제명
- Composite materials
- 일반주제명
- Shear stress
- 일반주제명
- Materials science
- 일반주제명
- Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008250123s2024 us c eng d■001000017164417
■00520250211152959
■006m o d
■007cr#unu||||||||
■020 ▼a9798346387275
■035 ▼a(MiAaPQ)AAI31631261
■035 ▼a(MiAaPQ)PennState19008dzg5526
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a516.15
■1001 ▼aGuzman, Daniel Giraldo.
■24510▼aTopology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces
■260 ▼a[Sl]▼bThe Pennsylvania State University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a197 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Shokouhi, Parisa.
■5021 ▼aThesis (Ph.D.)--The Pennsylvania State University, 2024.
■520 ▼aThis research presents a systematic design methodology for resonant structures exhibiting particular dynamic responses by implementing a two-fold eigenfrequency-based approach to match antiresonances with target frequencies subject to harmonic loads and to generate resonance gaps around specific frequencies. This design methodology, formulated as gradient-based density-based topology optimization, introduces a computationally efficient approach for 3D dynamic problems requiring resonance or antiresonance manipulation by combining classical eigenfrequency design approaches with a novel harmonic-informed eigenmode identification strategy. The optimization's objective function minimizes the error between target antiresonances and the actual structure's antiresonance eigenfrequencies, and maximizes the difference between a prescribed frequency and all neighbor resonance eigenfrequencies. The harmonic analysis-informed identification strategy compares harmonic displacement fields against eigenvectors using a modal assurance criterion, ensuring an accurate recognition and selection of appropriate eigenmodes. Simultaneously, this design methodology effectively prevents well-known problems in topology optimization of eigenfrequencies such as localized eigenmodes, repeated eigenfrequencies, and eigenmodes switching order; a new eigenmode identification approach removes these problems by analyzing the eigenvectors' response. Multiple case studies demonstrate that the proposed design methodology generates resonant structures exhibiting specific resonances and antiresonances at the desired frequencies subject to multiple harmonic loads, given different design domain dimensions, mesh discretizations, or material properties. The developed methodology enables the design of elastic/acoustic metamaterials without relying on commonly used dispersion curves design methodologies and, presents a computationally efficient approach to conceiving metamaterials by designing single resonant units, instead of unit cells that require periodicity and several assumptions. Multiple numerical and experimental studies demonstrate the optimized resonators' effectiveness in controlling surface and plate wave propagation when arranged as locally resonant metasurfaces.
■590 ▼aSchool code: 0176.
■650 4▼aSymmetry
■650 4▼aDesign
■650 4▼aAcoustics
■650 4▼aBoundary conditions
■650 4▼aComposite materials
■650 4▼aShear stress
■650 4▼aMaterials science
■650 4▼aMathematics
■690 ▼a0389
■690 ▼a0986
■690 ▼a0794
■690 ▼a0405
■71020▼aThe Pennsylvania State University.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0176
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164417▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
