• 제목/요약/키워드: Transformation optimization

검색결과 213건 처리시간 0.029초

동하중에서 변환된 등가정하중에 의한 최적화 방법의 수학적 고찰 (Mathematical Proof for Structural Optimization with Equivalent Static Loads Transformed from Dynamic Loads)

  • 박경진;강병수
    • 대한기계학회논문집A
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    • 제27권2호
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    • pp.268-275
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    • 2003
  • Generally, structural optimization is carried out based on external static loads. All forces have dynamic characteristics in the real world. Mathematical optimization with dynamic loads is extremely difficult in a large-scale problem due to the behaviors in the time domain. The dynamic loads are often transformed into static loads by dynamic factors, design codes, and etc. Therefore, the optimization results can give inaccurate solutions. Recently, a systematic transformation has been proposed as an engineering algorithm. Equivalent static loads are made to generate the same displacement field as the one from dynamic loads at each time step of dynamic analysis. Thus, many load cases are used as the multiple leading conditions which are not costly to include in modern structural optimization. In this research, it is mathematically proved that the solution of the algorithm satisfies the Karush-Kuhn-Tucker necessary condition. At first, the solution of the new algorithm is mathematically obtained. Using the termination criteria, it is proved that the solution satisfies the Karush-Kuhn-Tucker necessary condition of the original dynamic response optimization problem. The application of the algorithm is discussed.

구속조건을 고려한 캐릭터의 움직임 변경 (The Motion Transformation of Character Included Contrained Optimization Problem)

  • 이지홍;이원희;조인성
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 하계종합학술대회 논문집(3)
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    • pp.223-226
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    • 2002
  • If one can easily modify the existing motion data to a new motion in making an animation movie, he can save a lot of time for graphic design. To implement this kind of system, we propose a PC-based system composed of low cost commercial animation tool (3D Studio Max) for visualization of the animation and motion editing module that handles optimization process during the motion transform. Researchers studying advanced motion transform techniques only have to focus on the mathematical manipulation of the motion data

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우유 균질 조건 예측을 위한 반응표면방법론의 활용 (Applying Response Surface Methodology to Predict the Homogenization Efficiency of Milk)

  • 임성수;오세종
    • Journal of Dairy Science and Biotechnology
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    • 제41권1호
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    • pp.1-8
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    • 2023
  • Response surface methodology (RSM) is a statistical approach widely used in food processing to optimize the formulation, processing conditions, and quality of food products. The homogenization process is achieved by subjecting milk to high pressure, which breaks down fat globules and disperses fat more evenly throughout milk. This study focuses on an application of RSM including the logit transformation to predict the efficiency of milk homogenization, which can be maximized by minimizing the relative difference in fat percentage between the top part and the remainder of milk. To avoid a negative predicted value of the minimum of this proportion, the logit transformation is used to turn the proportion into the logit, whose possible values are real numbers. Then, the logit values are modeled and optimized. Subsequently, the logistic transformation is used to turn the predicted logit into the predicted proportion. From our model, the optimum condition for the maximized efficiency of milk homogenization was predicted as the combination of a homogenizer pressure of 30 MPa, a storage temperature of 10℃, and a storage period of 10 days. Additionally, with a combination of a homogenizer pressure of 30 MPa, a storage temperature of 10℃, and a storage period of 50 days, the level of milk homogenization was predicted to be acceptable, even with the problem of extrapolation taken into account.

불구속연쇄 동적시스템을 위한 최적설계 프로그램 개발 (Development of An Optimal Design Program for Open-Chain Dynamic Systems)

  • 최동훈;한창수;이동수;서문석
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.12-23
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    • 1994
  • This paper proposes an optimal design software for the open-chain dynamic systems whose governing equations are expressed as differential equation. In this software, an input module and an automatic creation module of the equation of motion are developed to contrive the user's convenience. To analyze the equation of motion of the dynamic systems, variable-order and variable-stepsize Adams-Bashforth-Moulton predictor-corrector method is used to improve the efficiency. For the optimization and the design sensitivity analysis, ALM(augmented lagrange multiplier)method and adjoint variable method are adopted respectively. An output module with which the user can compare and investigate the analysis and the optimization results through tables and graphs is also provided. The developed software is applied to three typical dynamic response optimization problems, and the results compare very well with those available in the literature, demonstrating its effectiveness.

동하중을 받는 구조물의 최적화에 관한 연구동향 (An Overview of Optimization of Structures Subjected to Transient Loads)

  • 박경진;강병수
    • 대한기계학회논문집A
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    • 제29권3호
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    • pp.369-386
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    • 2005
  • Various aspects of structural optimization techniques under transient loads are extensively reviewed. The main themes of the paper are treatment of time dependent constraints, calculation of design sensitivity, and approximation. Each subject is reviewed with the corresponding papers that have been published since 1970s. The treatment of time dependent constraints in both the direct method and the transformation method is discussed. Two ways of calculating design sensitivity of a structure under transient loads are discussed - direct differentiation method and adjoint variable method. The approximation concept mainly focuses on re- sponse surface method in crashworthiness and local approximation with the intermediate variable Especially, as an approximated optimization technique, Equivalent Static Load method which takes advantage of the well-established static response optimization technique is introduced. And as an application area of dynamic response optimization technique, the structural optimization in flexible multibody dynamic systems is re- viewed in the viewpoint of the above three themes

Optimization for nonlinear systems via block pulse transformation

  • Ahn, Doo-Soo;Park, Jun-Hun;Kim, Jong-Boo;Lee, Seung;Go, Young-Ki
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.969-973
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    • 1990
  • This paper presents a method of suboptimal control for nonlinear systems via block pulse transformation. The adaptive optimal control scheme proposed by J.P. Matuszewski is introduced to minimize the performance index. Nonlinear systems are controlled using the obtained optimal control via block pulse transformation. The proposed method is simple and computationally advantageous. Viablity of the this method is established with simulation results for the van der Pol equation for comparision with other methods.

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Optimization of different factors for an Agrobacterium-mediated genetic transformation system using embryo axis explants of chickpea (Cicer arietinum L.)

  • Sadhu, Suman Kalyan;Jogam, Phanikanth;Gande, Kranthikumar;Banoth, Raghu;Penna, Suprasanna;Peddaboina, Venkataiah
    • Journal of Plant Biotechnology
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    • 제49권1호
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    • pp.61-73
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    • 2022
  • In this study, we developed a reliable and efficient Agrobacterium-mediated genetic transformation system by applying sonication and vacuum infiltration to six chickpea cultivars (ICCV2, ICCV10, ICCV92944, ICCV37, JAKI9218, and JG11) using embryo axis explants. Wounded explants were precultured for 3 days in shoot induction medium (SIM) before sonication and vacuum infiltration with an Agrobacterium suspension and co-cultivated for 3 days in co-cultivation medium containing 100 µM/l of acetosyringone and 200 mg/l of L-cysteine. Responsive explants with putatively transformed shoots were selected using a gradual increase in kanamycin from 25 mg/l to 100 mg/l in selection medium to eliminate escapes. Results showed optimal transformation efficiency at a bacterial density of 1.0, an optical density at 600 nm wavelength (OD600), and an infection duration of 30 min. The presence and stable integration of the β-glucuronidase (gusA) gene into the chickpea genome were confirmed using GUS histochemical assay and polymerase chain reaction. A high transformation efficiency was achieved among the different factors tested using embryo axis explants of cv. JAKI 9218. Of the six chickpea cultivars tested, JAKI9218 showed the highest transformation efficiency of 8.6%, followed by JG11 (7.2%), ICCV92944 (6.8%), ICCV37 (5.4%), ICCV2 (4.8%), and ICCV10 (4.6%). These findings showed that the Agrobacterium-mediated genetic transformation system will help transfer novel candidate genes into chickpea.

[ $C^1$ ] Continuous Piecewise Rational Re-parameterization

  • Liang, Xiuxia;Zhang, Caiming;Zhong, Li;Liu, Yi
    • International Journal of CAD/CAM
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    • 제6권1호
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    • pp.59-64
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    • 2006
  • A new method to obtain explicit re-parameterization that preserves the curve degree and parametric domain is presented in this paper. The re-parameterization brings a curve very close to the arc length parameterization under $L_2$ norm but with less segmentation. The re-parameterization functions we used are $C^1$ continuous piecewise rational linear functions, which provide more flexibility and can be easily identified by solving a quadratic equation. Based on the outstanding performance of Mobius transformation on modifying pieces with monotonic parametric speed, we first create a partition of the original curve, in which the parametric speed of each segment is of monotonic variation. The values of new parameters corresponding to the subdivision points are specified a priori as the ratio of its cumulative arc length and its total arc length. $C^1$ continuity conditions are imposed to each segment, thus, with respect to the new parameters, the objective function is linear and admits a closed-form optimization. Illustrative examples are also given to assess the performance of our new method.

Mass optimization of four bar linkage using genetic algorithms with dual bending and buckling constraints

  • Hassan, M.R.A.;Azid, I.A.;Ramasamy, M.;Kadesan, J.;Seetharamu, K.N.;Kwan, A.S.K.;Arunasalam, P.
    • Structural Engineering and Mechanics
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    • 제35권1호
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    • pp.83-98
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    • 2010
  • In this paper, the mass optimization of four bar linkages is carried out using genetic algorithms (GA) with single and dual constraints. The single constraint of bending stress and the dual constraints of bending and buckling stresses are imposed. From the movement response of the bar linkage mechanism, the analysis of the mechanism is developed using the combination of kinematics, kinetics, and finite element analysis (FEA). A penalty-based transformation technique is used to convert the constrained problem into an unconstrained one. Lastly, a detailed comparison on the effect of single constraint and of dual constraints is presented.