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Computational Synthesis of Structures and Mechanisms Using Topology Optimization With Variable Boundary Conditions
Computational Synthesis of Structures and Mechanisms Using Topology Optimization With Variable Boundary Conditions
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260209102856
- ISBN
- 9798291574522
- DDC
- 004
- 저자명
- Alacoque, Lee R.
- 서명/저자
- Computational Synthesis of Structures and Mechanisms Using Topology Optimization With Variable Boundary Conditions
- 발행사항
- [Sl] : University of Illinois at Urbana-Champaign, 2023
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2023
- 형태사항
- 99 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-02, Section: B.
- 주기사항
- Advisor: James, Kai A.
- 학위논문주기
- Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2023.
- 초록/해제
- 요약Topology optimization is a computational design method capable of automatically generating optimal structures after only being given a set of design requirements, a space to distribute material within, and the boundary conditions of the problem. However, there are many problems where the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads and supports are often difficult to find manually. This substantially limits topology optimization's effectiveness for many structural and mechanism design problems. The work of this dissertation removes this limitation by developing methods which automatically determine optimal boundary condition configurations simultaneously with optimal material layouts.To parameterize the shapes, locations, and orientations of loads and supports, a modified finite element model is constructed where elastic support springs and applied forces are placed everywhere in the domain. A feature-mapping method is then used to control the distributions of support stiffness and load magnitude, as well as the shapes and locations of movable non-design regions. By this parameterization, the boundary conditions are made smooth and continuous functions of the design variables. The design sensitivities are computed using the adjoint sensitivity analysis method and the optimization problems are solved using the method of moving asymptotes.The technique is first implemented in a two-dimensional topology optimization algorithm with linear elastic physics. Several simple cases of static structures and compliant mechanisms are synthesized, showing improvements in design performance of up to 150%. A prototype compliant mechanism is additively manufactured to demonstrate the practical applicability of the method. The method is then extended to three dimensions to solve a structural optimization problem of a component within an assembly, where the load transfer point between parts is a design parameter. Using a variable applied load, manufacturing constraint methods, and high-performance computing, a wheel-and-axle structure is successfully synthesized from only a high-level description of its intended function. Finally, using nonlinear elastic physics, methods for a variable input displacement are developed. A variety of compliant mechanisms are synthesized with large output displacements, snap-through responses, and prescribed output paths, producing designs with significantly improved performance in every case tested. Compared to optimal designs generated using best-guess boundary conditions used in previous studies, the mechanisms presented see performance increases ranging from 23%-430%. Overall, the work of the dissertation expands the capabilities of the topology optimization method and shows that significantly improved designs can be discovered in both structural and compliant mechanism design problems when the boundary conditions are automatically optimized parameters.
- 일반주제명
- Computer science
- 일반주제명
- Aerospace engineering
- 일반주제명
- Mechanical engineering
- 키워드
- Elasticity
- 기타저자
- University of Illinois at Urbana-Champaign Aerospace Engineering
- 기본자료저록
- Dissertations Abstracts International. 87-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■1001 ▼aAlacoque, Lee R.
■24510▼aComputational Synthesis of Structures and Mechanisms Using Topology Optimization With Variable Boundary Conditions
■260 ▼a[Sl]▼bUniversity of Illinois at Urbana-Champaign▼c2023
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2023
■300 ▼a99 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-02, Section: B.
■500 ▼aAdvisor: James, Kai A.
■5021 ▼aThesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2023.
■520 ▼aTopology optimization is a computational design method capable of automatically generating optimal structures after only being given a set of design requirements, a space to distribute material within, and the boundary conditions of the problem. However, there are many problems where the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads and supports are often difficult to find manually. This substantially limits topology optimization's effectiveness for many structural and mechanism design problems. The work of this dissertation removes this limitation by developing methods which automatically determine optimal boundary condition configurations simultaneously with optimal material layouts.To parameterize the shapes, locations, and orientations of loads and supports, a modified finite element model is constructed where elastic support springs and applied forces are placed everywhere in the domain. A feature-mapping method is then used to control the distributions of support stiffness and load magnitude, as well as the shapes and locations of movable non-design regions. By this parameterization, the boundary conditions are made smooth and continuous functions of the design variables. The design sensitivities are computed using the adjoint sensitivity analysis method and the optimization problems are solved using the method of moving asymptotes.The technique is first implemented in a two-dimensional topology optimization algorithm with linear elastic physics. Several simple cases of static structures and compliant mechanisms are synthesized, showing improvements in design performance of up to 150%. A prototype compliant mechanism is additively manufactured to demonstrate the practical applicability of the method. The method is then extended to three dimensions to solve a structural optimization problem of a component within an assembly, where the load transfer point between parts is a design parameter. Using a variable applied load, manufacturing constraint methods, and high-performance computing, a wheel-and-axle structure is successfully synthesized from only a high-level description of its intended function. Finally, using nonlinear elastic physics, methods for a variable input displacement are developed. A variety of compliant mechanisms are synthesized with large output displacements, snap-through responses, and prescribed output paths, producing designs with significantly improved performance in every case tested. Compared to optimal designs generated using best-guess boundary conditions used in previous studies, the mechanisms presented see performance increases ranging from 23%-430%. Overall, the work of the dissertation expands the capabilities of the topology optimization method and shows that significantly improved designs can be discovered in both structural and compliant mechanism design problems when the boundary conditions are automatically optimized parameters.
■590 ▼aSchool code: 0090.
■650 4▼aComputer science
■650 4▼aAerospace engineering
■650 4▼aMechanical engineering
■653 ▼aTopology optimization
■653 ▼aStructural optimization
■653 ▼aFinite element method
■653 ▼aDisplacement control
■653 ▼aElasticity
■653 ▼aGeometry projection
■690 ▼a0538
■690 ▼a0548
■690 ▼a0984
■71020▼aUniversity of Illinois at Urbana-Champaign▼bAerospace Engineering.
■7730 ▼tDissertations Abstracts International▼g87-02B.
■790 ▼a0090
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17365926▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
