[논문]양방향 진화적 구조최적화를 이용한 신뢰성기반 위상최적화

유진식; 김상락; 박재용; 한석영

양방향 진화적 구조최적화를 이용한 신뢰성기반 위상최적화
Reliability-Based Topology Optimization Based on Bidirectional Evolutionary Structural Optimization 원문보기

한국공작기계학회지 = Journal of the Korean society of machine tool engineers, v.19 no.4, 2010년, pp.529 - 538

유진식 (Dept. of Mechanical Engineering, Hanyang University) , 김상락 (Dept. of Mechanical Engineering, Hanyang University) , 박재용 (Dept. of Mechanical Engineering, Hanyang University) , 한석영 (School of Mechanical Engineering, Hanyang University)

Abstract ▼ AI-Helper

This paper presents a reliability-based topology optimization (RBTO) based on bidirectional evolutionary structural optimization (BESO). In design of a structure, uncertain conditions such as material property, operational load and dimensional variation should be considered. Deterministic topology optimization (DTO) is performed without considering the uncertainties related to the design variables. However, the RBTO can consider the uncertainty variables because it can deal with the probabilistic constraints. The reliability index approach (RIA) and the performance measure approach (PMA) are adopted to evaluate the probabilistic constraints in this study. In order to apply the BESO to the RBTO, sensitivity number for each element is defined as the change in the reliability index of the structure due to removal of each element. Smoothing scheme is also used to eliminate checkerboard patterns in topology optimization. The limit state indicates the margin of safety between the resistance (constraints) and the load of structures. The limit State function expresses to evaluate reliability index from finite element analysis. Numerical examples are presented to compare each optimal topology obtained from RBTO and DTO each other. It is verified that the RBTO based on BESO can be effectively performed from the results.

주제어

AI 본문요약
AI-Helper

* AI 자동 식별 결과로 적합하지 않은 문장이 있을 수 있으니, 이용에 유의하시기 바랍니다.

가설 설정

Consider the removal of the i-th element from a structure comprising n finite elements. The stiffness mat» rix will change by #, where [K] is the stiffness matrix of the resulting structure after removal of the i~th element and [K] is the stiffness matrix of the i-th element.

제안 방법

And AFORM (advanced first order reliability method)*。is used for calculating sensitivity number in this paper. In order to verify whether RBTO based on BESO is suecessfiilly applied for obtaining an optimal topology or not, RBTO for a short cantilever and MBB beams is performed under the stiffness constraint in the case of having uncertainties of material property, applied load and thickness. Then, each optimal topology obtained from RBTO and DTO(deterministic topology optimization) are compared each other.

대상 데이터

5mm. Design domain was divided into 32x20 rectangular quadrilateral elements. BESO is used for topology optimization.

이론/모형

, can be used to solve this equation. In this paper, the advanced first order reliability method(8, 22) is employed to perform reliability analyses in RIA.
It causes severe numerical errors in topology optimization. To overcome this problem, an intuitive smoothing scheme(25) and checkerboard patterns occurrence decision algorithme26) are used in this study. It is clear that the second order scheme in the smoothing scheme may provide a better correction to these numerical instabilities than the first order scheme.

성능/효과

(3) It is known that the volume of the optimal topology obtained by RBTO ha 후he case of one uncertainty variable is larger than that of DTO as expected.
(4) It is known that the volume of the optimal topology obtained by RBTO in the case of three uncertainty variable for the same relability index is the larger than that in the case of one uncertainty variables as expected.

참고문헌 (27)

Kim, C. I., Wang, S. M., Bae K. R, and Moon, H. G., 2006 "Reliability-Based Topology Optimization with Uncertainties," J. Mech. Sci. Tech., Vol. 20, No.4, pp. 494-504.

원문보기 상세보기
Maute, K. and Allen, M., 2004 "Conceptual design of aeroelastic structures by topology optimization," Struct. Multidisc. Optim., Vol. 27, pp. 27-42.

상세보기
Jensen, H. A., Valdebenito, M. A., and Schueller, G. I., 2008, "An efficient reliability-based optimization scheme for uncertain linear systems subject to general Gaussian excitation," Comput. Methods Appl. Mech. Engrg., Vol. 198, pp. 72-87.

상세보기
Agarwal, H., Renaud, H. E., Prestion E. L., and Padmanabhan, D., 2004, "Uncertainty quantification using evidence theory in multidisciplinary design optimization," Reliability Eng. Sys. Safety, Vol. 85, pp. 281-294.

상세보기
Gasser, M. and Schueller, G. I., 1997, "Reliability -Based Optimization of Structural Systems," Math. Methods. Oper. Research, Vol. 46, pp. 287-307.

상세보기
Fishman, G. S., 1996, Monte Carlo: Concepts, algorithms and applications, Springer-Verlag, New York.
Padmanabhan, D., Agarwal, H., Renaud, J. E., and Batill, S. M., 2006, "A study using Monte Carlo Simulation for failure probability calculation in Reliabuility-Based Optimization," Optim. Eng., Vol. 7, pp. 297-316.

상세보기
Choi, S. K., Grandhi, R. V., and Canficld, R. A., 2007, Reliability-based Structural Design, SpringerVerlag, London.
Lee, J. O., Yang, Y. S., and Ruy, W. S., 2002, "A Comparative study on reliability and targetperformance- based probabilistic structural design optimization," Comput. Struct., Vol. 80, pp. 257-269.

상세보기
Youn, B. D., Choi, K. K., and Park, Y. H., 2003, "Hybrid Analysis Method for Reliability-Based Design Optimization," ASME. J. Mech. Design, Vol. 125, pp. 221-232.

상세보기
Bendsoe, M. P. and Kikuchi, N., 2004, "Generating optimal topologies in structural design using a homogenization method," Comp. Methods Appl. Mech. Engr., Vol. 71, pp. 197-224.
Bendsoe, M. P. and Sigmund, O., 2003, Topology optimization: theory, methods and applications, Springer, Berlin, New York.
Mlehnek, H. P. and Schirrmacher, R., 1993, "An Engineer's Approach to Optimal Material Distribution & Shape Finding," Comp. Methods Appl. Mech. Engr., Vol. 106, pp. 1-26.

상세보기
Chu, D. N., Xie, Y. M., Hira, A., and Steven, G. P., 1996, "Evolutionary Structural Optimization for problems with stiffness constraints," Finite Element in Analysis and Design, Vol. 21, pp. 239-251.

상세보기
Xie, Y. M. and Steven, G. P., 1997, Evolutionary Structural Optimization, Springer-Verlog Press, London.
Xie, Y. M. and Steven, G. P., 1998, "Evolutionary Structural Optimization (ESO) using bidirectional algorithm," Engineering Computations, Vol. 15, pp. 1031-1048.

상세보기
Bang, S. H. and Min, S. J., 2006, "Reliability-Based Topology Optimization Using Single-Loop SingleVector Approach," J. KSME., Vol. 30, No.8, pp. 889-896.

원문보기 상세보기
Jung, H. S. and Cho, S. H., 2004, "Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties," Finite Element in Analysis and Design. Vol. 43, pp. 311-331.
Kim, C. I., Wang, S. M., Hwang, I. H., and Lee, J. G., 2007, "Application of Reliability-Based Topology Optimization for Microelectromechanical Systems," AIAA. J., Vol. 45, pp. 2926-2934.

상세보기
Kwon, Y. W. and Bang, H. C., 2000, The Finite Element Method Using MATLAB, Second Edition, CRC press LLC, Florida.
Kim, S. R., Park, J. Y., Lee, W. G. Yu, J. S., and Han, S. Y. 2007, "Reliability-Based Topology Optimization Based on Evolutionary Structural Optimization," Proc. World Academy of Sci. Eng. And Tech., Vol. 32, pp. 168-172.
Halder, A. and Machadevan, S., 2000, Probability, Reliability, and Statistical Methods in Engineering Design, John Wiley & Sons, Inc. New York.
Youn, B. D., Choi, K. K., and Park, Y. H., 2003, "Hybrid Analysis Method for Reliability-Based Design Optimization," ASME, J. Mech. Design, Vol. 125, pp. 221-232.

상세보기
Yoon, B. D. and Choi, K. K., 2004, "A new response surface methodology for reliability-based design optimization," Comp. & Struc., Vol. 82, pp. 241-256.

상세보기
Li, Q., Steven, G. P., and Xie, Y. M., 2001, "A simple checkerboard suppression algorithm for evolutionary structural optimization," Struct. Multidisc. Optim., Vol. 22, pp. 230-239

상세보기
Poulsen, T. A., 2002, "A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization," Siruet. Multidise. Optim., Vol. 24, pp. 396-399.

상세보기
Huang, X. and Xie, Y. M., 2007, "Convergent and meshindependent solutions for the bi-directional evolutionary structural optimization method," Finite. Elem. Anal. Des., Vol. 43, pp. 1039-1049.

상세보기

내보내기 구분	파일저장 인쇄 메일전송
구성항목	기본정보 상세정보 관리번호, 논문명, 저널/프로시딩명, 저자 , 발행년, 권, 호, 시작페이지, 끝페이지, 발행기관 관리번호, 논문명, 대등논문명, 저자 , 저널/프로시딩명, 발행기관, 발행년, 발행언어, 권, 호, 시작페이지, 끝페이지, ISBN, ISSN, 주제분야, 키워드, 초록(한글), 초록(영문), 저자(소속기관)
저장형식	Text(ASCII format) Excel format RefWorks Direct Export RIS format (for Reference Manager, ProCite, EndNote), Scholar's Aids, Mendeley
메일정보	받는사람 (필수) @ 보내는사람 (선택) @ 제목 내용 KISTI 검색결과 이메일 서비스
안내	총 건의 자료가 검색되었습니다. 다운받으실 자료의 인덱스를 입력하세요. (1-10,000) 검색결과의 순서대로 최대 10,000건 까지 다운로드가 가능합니다. 데이타가 많을 경우 속도가 느려질 수 있습니다.(최대 2~3분 소요) 다운로드 파일은 UTF-8 형태로 저장됩니다. 파일의 내용이 제대로 보이지 않을실 때는 웹브라우저 상단의 보기 -> 인코딩 -> 자동선택 여부를 확인하십시오. ~ Text(ASCII format) Excel format

연합인증

양방향 진화적 구조최적화를 이용한 신뢰성기반 위상최적화
Reliability-Based Topology Optimization Based on Bidirectional Evolutionary Structural Optimization 원문보기

Abstract ▼ AI-Helper

주제어

AI 본문요약
AI-Helper

가설 설정

제안 방법

대상 데이터

이론/모형

성능/효과

참고문헌 (27)

이 논문을 인용한 문헌

저자의 다른 논문 :

관련 콘텐츠

원문 보기

원문 URL 링크

이 논문과 함께 이용한 콘텐츠

AI-Helper ※ AI-Helper는 오픈소스 모델을 사용합니다.

선택된 텍스트

연합인증

양방향 진화적 구조최적화를 이용한 신뢰성기반 위상최적화 Reliability-Based Topology Optimization Based on Bidirectional Evolutionary Structural Optimization 원문보기

Abstract ▼ AI-Helper

주제어

AI 본문요약 엑셀 다운로드 AI-Helper

가설 설정

제안 방법

대상 데이터

이론/모형

성능/효과

참고문헌 (27)

이 논문을 인용한 문헌

저자의 다른 논문 :

유진식 (3) 김상락 (4) 박재용 (23) 한석영 (52)

관련 콘텐츠

원문 보기

원문 URL 링크

이 논문과 함께 이용한 콘텐츠

AI-Helper ※ AI-Helper는 오픈소스 모델을 사용합니다.

선택된 텍스트

양방향 진화적 구조최적화를 이용한 신뢰성기반 위상최적화
Reliability-Based Topology Optimization Based on Bidirectional Evolutionary Structural Optimization 원문보기

AI 본문요약
AI-Helper