이중스케일 SIMP 위상최적화 기법을 통한 경량구조 설계 프레임워크 연구 = A Study on SIMP-Based Dual-Scale Topology Optimization Framework for Lightweight Structural Design

다국어 초록 (Multilingual Abstract)

This study proposes a Dual-Scale SIMP-based framework that integrates macro-scale topology optimization(TO) with micro-scale infill structure design for lightweight structural applications. The macro-scale geometry is first determined through SIMP TO, and the stress state of each element is then used to generate the infill structure via element-level SIMP TO. The resulting infill structures are homogenized to obtain effective elastic tensors, which are assigned to each element and assembled for global finite element analysis. This homogenization approach enables efficient structural analysis without modeling micro-structures while capturing their mechanical contributions. Comparative evaluations demonstrate that the proposed framework achieves higher stiffness-to-weight performance than conventional lattice and infill pattern based structures.

목차 (Table of Contents)

• 목 차 ⅰ
• 그림 목차 ⅱ
• 표 목차 ⅴ
• Abstract ⅵ
• 제 1 장 서론 1
• 제 2 장 방법론 8
• 2.1 SIMP TO 10
• 2.2 유한요소해석 20
• 2.3 Dual-Scale SIMP 24
• 제 3 장 결과 및 비교 35
• 3.1 Dual-Scale SIMP 35
• 3.2 일반적인 Infill 구조 41
• 3.2.1 격자 구조 42
• 3.2.2 Infill 패턴 47
• 3.2.2.1 Grid 패턴 47
• 3.2.2.2 Honeycomb 패턴 52
• 제 4 장 결론 57
• 참고문헌 61