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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.39 No.5
- 발행연도
- 2021.1
- 수록면
- 511 - 528 (18page)
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초록· 키워드
오류제보하기
There are recently some advances in solving numerically topology optimization problems for large-scaled trusses based on ground structure approach. A disadvantage of this approach is that the final design usually includes many bars, which is difficult to be produced in practice. One of efficient tools is a so-called filter scheme for the ground structure to reduce this difficulty and determine several distinct bars. In detail, this technique is valuable for practical uses because unnecessary bars are filtered out from the ground structure to obtain a well-defined structure during the topology optimization process, while it still guarantees the global equilibrium condition. This process, however, leads to a singular system of equilibrium equations. In this case, the minimization of least squares with Tikhonov regularization is adopted. In this paper, a proposed algorithm in controlling optimal Tikhonov parameter is considered in combination with the filter scheme due to its crucial role in obtaining solution to remove numerical singularity and saving computational time by using sparse matrix, which means that the discrete optimal topology solutions depend on choosing the Tikhonov parameter efficiently. Several numerical examples are investigated to demonstrate the efficiency of the filter parameter control algorithm in terms of the large-scaled optimal topology designs.
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참고문헌 (24)
참고문헌 신청
Achtziger, W. / 1997 / Topology optimization of discrete structures : an introduction in view of computational and nonsmooth aspects / Topology optimization in structural mechanics, Springer-Heidelberg 5:7~100
Wolfgang Achtziger / 2007 / On simultaneous optimization of truss geometry and topology / Structural and Multidisciplinary Optimization 33(4-5):285~304
W. Achtziger / 1992 / Equivalent displacement based formulations for maximum strength truss topology design / IMPACT of Computing in Science and Engineering 4(4):315~345
Thien Thanh Banh / 2018 / Multi-material topology optimization of Reissner-Mindlin plates using MITC4 / Steel and Composite Structures, An International Journal 27(1):27~33
Amir Beck / 2009 / A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems / SIAM Journal on Imaging Sciences 2(1):183~202
Wolfgang Achtziger / 2007 / On simultaneous optimization of truss geometry and topology / Structural and Multidisciplinary Optimization 33(4-5):285~304
W. Achtziger / 1992 / Equivalent displacement based formulations for maximum strength truss topology design / IMPACT of Computing in Science and Engineering 4(4):315~345
Thien Thanh Banh / 2018 / Multi-material topology optimization of Reissner-Mindlin plates using MITC4 / Steel and Composite Structures, An International Journal 27(1):27~33
Amir Beck / 2009 / A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems / SIAM Journal on Imaging Sciences 2(1):183~202
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