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2022 Vol.35, Issue 6 Preview Page

Research Paper

Design Optimization for 3D Woven Materials Based on Regression Analysis

회귀 분석에 기반한 3차원 엮임 재료의 최적설계

Byungmo Kim1
,
Kichan Sim2
,
Seung-Hyun Ha3†
김 병모1
,
심 기찬2
,
하 승현3†
1Deputy Senior Surveyor, Ship and Offshore Technology Team, Korean Register, Busan, 46762, Korea
2Graduate Student, Department of Ship and Ocean Engineering, Korea University of Science and Technology, Daejeon, 34113, Korea
3Associate Professor, Department of Ocean Engineering, Korea Maritime and Ocean University, Busan, 49112, Korea
1한국선급 선박해양기술팀 선임연구원
2과학기술연합대학원대학교 선박해양공학과 박사과정
3한국해양대학교 해양공학과 부교수
†Corresponding Author
31 December 2022. pp. 351-356
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Abstract

In this paper, we present the regression analysis and design optimization for improving the permeability of 3D woven materials based on numerical analysis data. First, the parametric analysis model is generated with variables that define the gap sizes between each directional wire of the woven material. Then, material properties such as bulk modulus, thermal conductivity coefficient, and permeability are calculated using numerical analysis, and these material data are used in the polynomial-based regression analysis. The Pareto optimal solution is obtained between bulk modulus and permeability by using multi-objective optimization and shows their trade-off relation. In addition, gradient-based design optimization is applied to maximize the fluid permeability for 3D woven materials, and the optimal designs are obtained according to the various minimum bulk modulus constraints. Finally, the optimal solutions from regression equations are verified to demonstrate the accuracy of the proposed method.

Keywords
3D woven material
regression analysis
design optimization
parameterization
material property

본 논문에서는 3차원 엮임 재료의 유체투과율 향상을 목적으로 수치해석 데이터 기반의 물성치 회귀 분석 및 최적설계를 소개한다. 우선 3차원 엮임 재료를 구성하는 와이어 사이의 간격을 결정하는 배율 계수를 매개변수화 하여 다양한 배율 조합을 가지는 수치 모델을 생성하였고, 전산 수치해석을 통해 계산된 각 모델의 체적 탄성계수, 열전도 계수, 유체투과율 데이터를 이용하여 다항식 기반의 회귀 분석을 수행하였다. 이를 사용해서 체적 탄성계수와 유체투과율 사이의 다목적함수 최적설계를 통한 파레토 최적해를 도출하였으며, 두 물성치가 서로 상충 관계에 있음을 확인하였다. 한편 3차원 엮임 재료의 열전달 효율을 높이기 위해서 유체투과율을 최대화시키는 것을 목적으로 경사도 기반 최적설계를 수행하였고, 제약조건인 체적 탄성계수의 크기별 유체투과율의 변화율을 분석하였다. 그 결과 설계자가 원하는 최소한의 강성을 가지는 최대 유체투과율 설계 모델을 얻어낼 수 있음을 확인하였으며, 회귀 방정식을 통해서 얻어진 설계가 높은 정확도를 가지고 있음을 추가적으로 검증하였다.

키워드
3차원 엮임 재료
회귀 분석
최적설계
매개변수화
재료 물성치
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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 35
  • No :6
  • Pages :351-356
  • Received Date : 2022-10-04
  • Revised Date : 2022-10-20
  • Accepted Date : 2022-10-20
  • DOI :https://doi.org/10.7734/COSEIK.2022.35.6.351
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