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Huang, X.,Xie, Y.M. Techno-Press 2007 Structural Engineering and Mechanics, An Int'l Jou Vol.27 No.1
This paper presents a modified and improved bi-directional evolutionary structural optimization (BESO) method for topology optimization. A sensitivity filter which has been used in other optimization methods is introduced into BESO so that the design solutions become mesh-independent. To improve the convergence of the optimization process, the sensitivity number considers its historical information. Numerical examples show the effectiveness of the modified BESO method in obtaining convergent and mesh-independent solutions. A study of the effects of various BESO parameters on the solution is then conducted to determine the appropriate values for these parameters.
엄영섭(Young-Sop Eom),유광선(Kwang-Sun Yoo),김동연(Dong-Yeon Kim),박재용(Jae-Yong Park),한석영(Seog-Young Han) 한국생산제조학회 2010 한국공작기계학회 추계학술대회논문집 Vol.2010 No.-
In this paper, reliability-based topology optimization (RBTO) for 3-D structures was performed by using bi-directional evolutionary structural optimization (BESO) and standard response surface method (SRSM). In order to get stable optimal topology, the latest developed filter scheme was implemented to BESO, and SRSM was used to generate an approximate limit state function. These results were compared with recently announced results of RBTO for the 2-D structures, and the differences between the results of 3-D and 2-D structures are considered. Cantilever beam and MBB beam were selected as numerical examples. From performing RBTO, it is found that the optimal topologies of DTO and RBTO for 2-D and 3-D MBB beams are obtained very differently. Especially, two-support member at the left hand side comes into being in the width direction. Therefore, it is known that RBTO for 3-D structures is necessary to be performed.
Huang, X.,Xie, Y.M. Techno-Press 2010 Structural Engineering and Mechanics, An Int'l Jou Vol.34 No.5
This paper presents topology optimization of geometrically and materially nonlinear structures using a bi-directional evolutionary optimization (BESO) method. To maximum the stiffness of nonlinear structures under prescribed design load, the complementary work is selected as the objective function of the optimization. An optimal design can be obtained by gradually removing inefficient material and adding efficient ones. The proposed method can be applied to a series of geometrically and/or materially nonlinear structures. The results show considerable differences in topologies and stiffness of the optimal designs for linear and nonlinear structures. It is found that the optimal designs for nonlinear structures are much stiffer than those for linear structures when large design loads (which result in significantly nonlinear deformations) are applied.
X. Huang,Y.M. Xie 국제구조공학회 2010 Structural Engineering and Mechanics, An Int'l Jou Vol.34 No.5
This paper presents topology optimization of geometrically and materially nonlinear structures using a bi-directional evolutionary optimization (BESO) method. To maximum the stiffness of nonlinear structures under prescribed design load, the complementary work is selected as the objective function of the optimization. An optimal design can be obtained by gradually removing inefficient material and adding efficient ones. The proposed method can be applied to a series of geometrically and/or materially nonlinear structures. The results show considerable differences in topologies and stiffness of the optimal designs for linear and nonlinear structures. It is found that the optimal designs for nonlinear structures are much stiffer than those for linear structures when large design loads (which result in significantly nonlinear deformations) are applied.
엄영섭(Young-Sop Eom),유광선(Kwang-Sun Yoo),김동연(Dong-Yeon Kim),박재용(Jae-Yong Park),한석영(Seog-Young Han) 한국생산제조학회 2010 한국생산제조시스템학회 학술발표대회 논문집 Vol.2010 No.10
In this paper, reliability-based topology optimization (RBTO) for 3-D structures was performed by using bi-directional evolutionary structural optimization (BESO) and standard response surface method (SRSM). In order to get stable optimal topology, the latest developed filter scheme was implemented to BESO, and SRSM was used to generate an approximate limit state function. These results were compared with recently announced results of RBTO for the 2-D structures, and the differences between the results of 3-D and 2-D structures are considered. Cantilever beam and MBB beam were selected as numerical examples. From performing RBTO, it is found that the optimal topologies of DTO and RBTO for 2-D and 3-D MBB beams are obtained very differently. Especially, two-support member at the left hand side comes into being in the width direction. Therefore, it is known that RBTO for 3-D structures is necessary to be performed.
황승민,박재용,임민규,오영규,한석영 한국공작기계학회 2009 한국공작기계학회 춘계학술대회논문집 Vol.2009 No.-
This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). Topology optimization is formulated as volume minimization problem with probabilistic displacement constraint. Young's modulus, external load and thickness are considered as uncertain variables. In order to compute reliability index, four methods, i.e., RIA, PMA, SLSV and ADL(adaptive-loop), are used. Reliability-based topology optimization design process is conducted to obtain optimal topology satisfying displacement and reliability index constraints with the above four methods, and then each result is compared with respect to numerical stability and computing time.
박재용,황승민,임민규,오영규,박재용,한석영 한국공작기계학회 2009 한국공작기계학회 춘계학술대회논문집 Vol.2009 No.-
This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic topology optimization (DTO) is obtained without considering of uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In this paper, the reliability index approach (RIA) is adopted to evaluate the probabilistic constraint. RBTO based on BESO starting from various design domains produces a similar optimal topology each other. Numerical examples are presented to compare the DTO with the RBTO.
박재용(Jae-Yong Park),황승민(Seung-Min Hwang),임민규(Min-Kyu Lim),오영규(Young-Kyu Oh),박재용(Jae-Yong Park),한석영(Seog-Young Han) 한국생산제조학회 2009 한국생산제조시스템학회 학술발표대회 논문집 Vol.2009 No.5
This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic topology optimization (DTO) is obtained without considering of uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In this paper, the reliability index approach (RIA) is adopted to evaluate the probabilistic constraint. RBTO based on BESO starting from various design domains produces a similar optimal topology each other. Numerical examples are presented to compare the DTO with the RBTO.
엄영섭(Young-Sop Eom),유광선(Kwang-Sun Yoo),박재용(Jae-Yong Park),한석영(Seog-Young Han) 한국생산제조학회 2009 한국생산제조시스템학회 학술발표대회 논문집 Vol.2009 No.5
It is important to represent limit state function in reliability-based design optimization. Since it is very difficult to explicitly represent a limit state function in topology optimization, it is necessary to make the limit state function an approximate function. In case of implementing RSM, the limit state function can easily approximated. In this study, the limit state function of structures was approximated using ADAPRES to obtain the effective response surface modeling as reducing the experiment points. From the result of carrying out the BESO using the ADAPRES, it is concluded that the ADAPRES can be applied to RETO and is more effective than RSM in computing cost.
엄영섭,유광선,박재용,한석영 한국공작기계학회 2009 한국공작기계학회 춘계학술대회논문집 Vol.2009 No.-
It is important to represent limit state function in reliability-based design optimization. Since it is very difficult to explicitly represent a limit state function in topology optimization, it is necessary to make the limit state function an approximate function. In case of implementing RSM, the limit state function can easily approximated. In this study, the limit state function of structures was approximated using ADAPRES to obtain the effective response surface modeling as reducing the experiment points. From the result of carrying out the BESO using the ADAPRES, it is concluded that the ADAPRES can be applied to RETO and is more effective than RSM in computing cost.