Earticle

초록

영어

This study shows a variance regularization method in order to obtain the stable optimal solutions, when a numerical method accelerating design variables is used for material topology optimization algorithm. Since a moved and regularized Heaviside function used in the accelerated method is composed of nonlinear concave and convex functions in a given design domain between 0 and 1, design variables below 0.5 can move fast toward the value of 0 and those over 0.5 are rapidly located to the value of 1. However optimal solutions may be not stable due to singularity of element stiffness, while the accelerated design variables are too closed to value 0. In particular this instability may occur to the accelerated method-based material topology optimization algorithms much repeating the moved and regularized Heaviside function. In order to resolve the problem, in this study, a variance regularization is formulated within a linear governing equation for structural analyses of optimization procedures. Numerical examples for topologically optimally modeling a linear elastostatic MBB-beam verify that the accelerated method of design variables take numerical stability of topological optimal solutions by being associated with the variance regularization method.

목차

1. 서론
2. 최적 설계변수 가속법(Accelerated Method)
3. 분산 정규화법(Variance regularization method)
 3.1 분산 정규화의 수학적 공식화
 3.2 분산 정규화의 선형방정식 시스템
4. 위상 최적화 문제의 정식화
 4.1 최적화 문제
 4.2 밀도분배법의 개념
5. 분산 정규화법을 적용한 설계변수 가속법에 기초한위상 최적화 알고리즘
6. 수치 예제
7. 결론
참고문헌

키워드

저자

• 이동규 [ Lee, Dong-Kyu | 포항산업과학연구원 강구조연구소, 선임연구원 ]
• 박현정 [ Park, Hyun-Jung | 신라대학교 건축학부 조교수, 공학박사 ]
• 신수미 [ Shin, Soo-Mi | 부산대학교 건축공학과 BK21 박사후연구원, 공학박사 ] 교신저자

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  대한건축학회연합논문집 [Journal of the Regional Association of Architectural Institute of Korea]

• 간기

  격월간

• pISSN

  1229-5752

• 수록기간

  1999~2026

• 등재여부

  KCI 등재

• 십진분류

  KDC 540 DDC 690