• Title/Summary/Keyword: 축차 선형계획법

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Optimum Design of Cantilever Retaining Wall (켄틸레버 옹벽의 최적 설계)

  • 김종옥
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.1
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    • pp.90-99
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    • 1995
  • In this study, the algorithm for the optimum design of cantilever retaining wall was de veloped and solved using Modified Method of Feasible Directions(MMFD), Sequential Linear Programming(SLP) and Sequential Quadratic Programming(SQP). The algorithm was applied to the optimum design of 3-different height cantilever re tairing walls. It was shown that even though the starting points and optimization strategies are dif- ferent, the objective function and optimum design variables converge to within a close range, and consequently the reliability and efficiency of the underlying optimum design algorithm can be verified. It is expected that the optimum design algorithm developed in this study can be utilized efficiently for the optimum design of any scale cantilever retaining wall. Using optimum design method, cantilever retaining wall will be designed more economi- cally and reasonably than using traditional design method.

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Contact Stress Analysis and Contact Surface Design : An Application to Spot Welder Electrode Design

  • Kwak, Byung-Man;Yoo, Wan Suk
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.2 no.3
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    • pp.69-77
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    • 1978
  • 스폿 용접 기구를 탄성체로 생각하여 접촉 응력과 용접봉의 최적 형상을 구하였다. 접촉 응력은 2차 계획법 문제로 바꾸어 해석하였고, 이에 필요한 용접봉과 피용접판의 Flexibility matrix 들은 유한 요소법의 프로그램인 SAPIV 를 사용하였다. 최애 접촉 응력을 최소로 하는 용접봉의 형상설계를 위해 축차적인 선형 계획법을 적용하고 특정한 경우의 해를 도시하였다. 최적의 용접봉 모양은 중심부가 오목하고 가장자리 부분이 볼록한 형태로 나타났다.

Efficient NLP Techniques for the Optimum Design of Simple Steel Plate Girder Cross Section (단순강판형 단면의 최적설계를 위한 효율적인 비선형계획기법)

  • 김종옥
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.2
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    • pp.111-122
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    • 1994
  • In this study, an algorithm which can be applied to the optimum design of simple steel plate girders was developed, and efficient optimization strategies for the solution of algorithm were found out. The optimum design algorithm consists of 3-levels of optimization. In the first and second levels of optimization, the absolute maximum bending moment and shearing force are extracted and in the third level of optimization, the optimum cross section of steel plate girder is determined. For the optimum design of cross section, the objective function is formulated as the total area of cross section and constraints are derived in consideration of the various stresses and the minimum dimension of flange and web based on the part of steel bridge in the Korea standard code of road bridge. Sequential unconstrained minimization technique using the exterior penalty function method(SUMT-EP), sequential linear programming(SLP) and sequential quadratic programming (SQP) are proved to be efficient and robust strategies for the optimum design of simple plate girder cross section. From the reliable point of view, SLP is the most efficient and robust strategy and SQP is the most efficient one from the viewpoint of converguency and computing time.

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A Study of Optimal Operation Policy using Risk Evaluation Criteria(II) (for the Han River Reservoirs System) (위험도 평가기준을 적용한 저수지 최적운영방안 연구(II) (한강수계 저수지군을 중심으로))

  • Park, Myeong-Gi;Kim, Jae-Han;Jeong, Gwan-Su
    • Journal of Korea Water Resources Association
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    • v.35 no.1
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    • pp.51-64
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    • 2002
  • In this study, the formulation of the developed mixed-integer programming model for a multi-reservoir system including hydro-electric power generation (park et al., 2001) has been improved for multiple reservoir system operation using risk evaluation criteria. Sequential linear programming(SLP) was applied for the linearization of the hydro-electric energy term in the model. In order to allocate monthly reservoir release reasonably the value of weight for hydro-electric energy was assigned by level of power generation hour. The improved model was applied to the five reservoirs system in the Han river. And could be confirmed the availibility of new formulation appling risk evaluation criteria.

Development of Hedging Rule for Drought Management Policy Reflecting Risk Performance Criteria of Single Reservoir System (단일 저수지의 위험도 평가기준을 고려한 가뭄대비 Hedging Rule 개발)

  • Park, Myeong-Gi;Kim, Jae-Han;Jeong, Gwan-Su
    • Journal of Korea Water Resources Association
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    • v.35 no.5
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    • pp.501-510
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    • 2002
  • During drought or impending drought period, the reservoir operation method is required to incorporate demand-management policy rule. The objective of this study is focused to the development of demand reduction rule by incorporating hedging-effect for a single reservoir system. To improve the performance measure of the objective function and constraints, we could incorporate three risk performance criteria proposed by Hashimoto et al. (1982) by mixed-integer programming and also incorporate successive linear programming to overcome nonlinear hedging term from the previous study(Shih et al., 1994). To verify this model, this hedging rule was applied to the Daechung multi-purpose dam. As a result, we could evaluate optimal hedging parameters and monthly trigger volumes.

The configuration Optimization of Truss Structure (트러스 구조물의 형상최적화에 관한 연구)

  • Lim, Youn Su;Choi, Byoung Han;Lee, Gyu Won
    • Journal of Korean Society of Steel Construction
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    • v.16 no.1 s.68
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    • pp.123-134
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    • 2004
  • In this research, a multilevel decomposition technique to enhance the efficiency of the configuration optimization of truss structures was proposed. On the first level, the nonlinear programming problem was formulated considering cross-sectional areas as design variables, weight, or volume as objective function and behavior under multiloading condition as design constraint. Said nonlinear programming problem was transformed into a sequential linear programming problem. which was effective in calculation through the approximation of member forces using behavior space approach. Such approach has proven to be efficient in sensitivity analysis and different form existing shape optimization studies. The modified method of feasible direction (MMFD) was used for the optimization process. On the second level, by treating only shape design variables, the optimum problem was transformed into and unconstrained optimal design problem. A unidirectional search technique was used. As numerical examples, some truss structures were applied to illustrate the applicability. and validity of the formulated algorithm.

A Study on the Optimal Design of Reinforced Concrete Slab-Beam-Column Structures by Direct Method (직접설계법(直接設計法)에 의한 철근(鐵筋)콘크리트 2방향(方向) 슬래브형(型) 구조체(構造體)의 최적설계(最適設計))

  • Kim, Yong Hee;Lyu, Hong Leal;Park, Moon Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.1
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    • pp.1-12
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    • 1985
  • This study is conserned for the optimum design of reinforced concrete slab-beam-column structures with multi-storys and multi-bays by Direct Method. Flexural and shear strength, sectional size, and steel ratio etc., were considered as the design-constraints and the cost function was taken as to objective function. They became high degree nonlinear problems. Using SLP as an analytical method of nonlinear optimal problems, an optimal algorithm was developed in this study and the algorithm was applied to the optimization of reinforced concrete structure system of 5 storys. The result converged to a optimal solution with 3 to 5 iterations, and proved that economical design could be possible when compared with conventional designs.

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An Optimum Design of Steel Frames by Second Order Elastic Analysis (2차 탄성해석법에 의한 강뼈대 구조물의 최적설계)

  • Park, Moon-Ho;Jang, Chun-Ho;Kim, Ki-Wook
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.2
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    • pp.123-133
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    • 2006
  • The main objective of this study is to develop an optimization algorithm of framed structures with rigid and various semi-rigid connections using the multilevel dynamic programming and the sequential unconstrained minimization techniques (SUMT). The second-order elastic analysis is performed for steel framed structures. The second order elastic analysis is developed based on nonlinear beam-column theory considering the bowing effect. The following semi-rigid connections are considered; double web angle, top-seat angle and top-seat angle with web angle. We considered the three connection models, such as modified exponential, polynomial and three parameter model. The total weight of the structural steel is used as the objective function in the optimization process. The dimensions of steel cross section are selected as the design variables. The design constraints consist of strength requirements for axial, shear and flexural resistance and serviceability requirements.