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Topology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces.
Topology Optimization of Resonant Structures for Locally Resonant Elastodynamic Metasurfaces.
- 자료유형
- 학위논문
- Control Number
- 0017164417
- International Standard Book Number
- 9798346387275
- Dewey Decimal Classification Number
- 516.15
- Main Entry-Personal Name
- Guzman, Daniel Giraldo.
- Publication, Distribution, etc. (Imprint
- [S.l.] : The Pennsylvania State University., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 197 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- General Note
- Advisor: Shokouhi, Parisa.
- Dissertation Note
- Thesis (Ph.D.)--The Pennsylvania State University, 2024.
- Summary, Etc.
- 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.
- Subject Added Entry-Topical Term
- Symmetry.
- Subject Added Entry-Topical Term
- Design.
- Subject Added Entry-Topical Term
- Acoustics.
- Subject Added Entry-Topical Term
- Boundary conditions.
- Subject Added Entry-Topical Term
- Composite materials.
- Subject Added Entry-Topical Term
- Shear stress.
- Subject Added Entry-Topical Term
- Materials science.
- Subject Added Entry-Topical Term
- Mathematics.
- Added Entry-Corporate Name
- The Pennsylvania State University.
- Host Item Entry
- Dissertations Abstracts International. 86-05B.
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:655257
Buch Status
- Reservierung
- 캠퍼스간 도서대출
- 서가에 없는 책 신고
- Meine Mappe