• Title/Summary/Keyword: 이산형변수

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Optimum Design of Braced Steel Framed Structures Considering Soil Condition Under Earthquake Loads (지반조건을 고려한 브레이스된 강골조 구조물의 내진 최적설계)

  • Park, Moon-Ho;Kim , Ki-Wook;Lee , Seung-Jo;Park , Jung-Hwal
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.4
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    • pp.97-107
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    • 2006
  • This study is structural analysis and continuous, discrete optimum design of braced steel frame structures under earthquake loads considering soil condition. The program which is able to perform simultaneously structural analysis and continuous, discrete optimum design, it is applied steel frame structures using unbraced, Z-braced, and X-braced types and analyze the program about static loads and seismic loads. The purpose of this study is to present proper braced type for seismic effects by comparing and analyzing results of analytic method about various cases using specially Newmark-Hall design spectrum, ATC design spectrum and ATC equivalent static analysis and finding minimum weight and design variables which satisfy the ultimate strength requirements of AISC-ASD specifications, the serviceability requirements and allowable story drift requirements of ATC-3-06 and various constraints.

Optimal Control of Multireservoirs Using Discrete Laguerre Polynomials (Laguerre Polynomial을 이용한 저수지군의 최적제어)

  • Lee, Jae Hyoung;Kim, Min Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.4
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    • pp.91-102
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    • 1991
  • Traditionally, a dynamic programming(DP) technique has been used to the multireservoir control system. The algorithm has inherent problem to increase computational requirements exponentially due to discretization of variables and expanding the dimension of the system. To solve this problem, this paper describes transforming the optimal control system into a quadratic programming(QP), using Laguerre polynomials(LP) and its properties. The objective function of the proposed QP is independent of time variable. The solution of the QP is obtained by nonlinear programming(NLP) using augmented Lagrangian multiplier method. The numerical experiment shows that the water level of reservoirs is higher than Lee's and the evaluated benefit value is about the same as other researcher's.

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Tree Based Cluster Analysis Using Reference Data (배경자료를 이용한 나무구조의 군집분석)

  • 최대우;구자용;최용석
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.535-545
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    • 2004
  • The clustering method suggested in this paper produces clusters based on the 'rules of variables' by merging the 'training' and the identically structured reference data and then by filtering it to obtain the clusters of the 'training data' through the use of the 'tree classification model'. The reference dataset is generated by spatially contrasting it to the 'training data' through the 'reverse arcing' algorithm to effectively identify the clusters. The strength of this method is that it can be applied even to the mixture of continuous and discrete types of 'training data' and the performance of this algorithm is illustrated by applying it to the simulated data as well as to the actual data.

Optimum Design of Multi-Stage Gear Drive Using Genetic Algorithm Mixed Binary and Real Encoding (이진코딩과 실수코딩이 조합된 유전 알고리즘을 이용한 다단 기어장치의 최적설계)

  • 정태형;홍현기;이정상
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.118-123
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    • 2004
  • In this study, genetic algorithm mixed binary and real encoding is proposed to deal with design variables of various types. And that is applied to optimum design of Multi-stage gear drive. Design of pressure vessel which is mixed discrete and continuous variables is applied to verify reasonableness of proposed genetic algorithm. The proposed genetic algorithm is applied for the gear ratio optimization and the volume minimization of geared motor which is used in field. In result, it shows that the volume has decreased about 8% compared with the existing geared motor.

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Multi-level linear Tracking to the Reservoir System Control (저수지 시스템제어에 대한 다단계 선형추적-)

  • 권오헌
    • Water for future
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    • v.17 no.1
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    • pp.37-43
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    • 1984
  • Linear tracking problem I analytically solved with the buadratic performance measure. This theory has the inherent drawbacks in application, because the tracking assumes no boundness of the control and state vectors. The tracking was performed to the discrete system and interrupted subject to the violation. Multi-level tracking was intended based on the concept of the Bellman's Principle of Optimality in this paper. The tracking is iterated to get the desired trajectory which is not known in advance. An application was made to real operation of 6 rervoirs over 36 monthly periods for the Han river.

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Spatial analysis on forest fire occurrence with meteorological data (기상인자를 이용한 산불 발생 공간 분석)

  • Kwak, Han-Bin;Lee, Woo-Kyun;Lee, Si-Young;Won, Myung-Soo;Koo, Kyo-Sang;Lee, Myung-Bo
    • Proceedings of the Korean Association of Geographic Inforamtion Studies Conference
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    • 2009.04a
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    • pp.279-281
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    • 2009
  • 우리나라 산불은 대부분 인간에 의해서 발생한다고 알려져 있다. 하지만 그것이 반드시 기상요인을 받지 않는다고는 볼 수 없다. 연중 대부분의 산불이 봄철 건조한 시기에 일어나기 때문이다. 본 연구는 이처럼 산불 발생과 관련이 있는 기상인자 중 기온과 강수량, 습도를 중심으로 산불 발생과의 관련성을 알아보고자 하였다. 몇몇 독립변수들을 통제하기 위해 지형 지리 인자들이 분석에 포함되었다. 시간을 두고 발생하는 이산형 사건 분석에 적합한 포아송 회귀분석을 실시하기 위해 산불 발생 지점의 점 자료를 래스터화하여 사용하였다.

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Multi-Level Optimization for Steel Frames using Discrete Variables (이산형 변수를 이용한 뼈대구조물의 다단계 최적설계)

  • 조효남;민대용;박준용
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.115-124
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    • 2000
  • An efficient multi-level (EML) optimization algorithm using discrete variables of framed structures is proposed in this paper. For the efficiency of the proposed algorithm multi-level optimization techniques using a decomposition method that separates both system-level and element-level are incorporated in the algorithm In the system-level, to save the numerical efforts an efficient reanalysis technique through approximated structural responses such as moments and frequencies with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by automatic differentiation (AD) that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. In the element-level, to use AISC W-sections a section search algorithm is introduced. The efficiency and robustness of the EML algorithm, compared with a conventional multi-level (CML) algorithm and single-level genetic algorithm is successfully demonstrated in the numerical examples.

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Development of DCOC Algorithm Considering the Variation of Effective Depth in the Optimum Design of PRC Continuous Beam (PRC연속보 최적설계에서 단면의 유효깊이 변화를 고려한 DCOC알고리즘 개발)

  • 조홍동;한상훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.2
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    • pp.281-291
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    • 2002
  • This paper describes the minimum cost design of prestressed reinforced concrete (PRC) hem with rectangular section. The cost of construction as objective function which includes the costs of concrete, prestressing steel, non prestressing steel, and formwork is minimized. The design constraints include limits on the minimum deflection, flexural and shear strengths, in addition to ductility requirements, and upper-Lower bounds on design variables as stipulated by the specification. The optimization is carried out using the methods based on discretized continuum-type optimality criteria(DCOC). Based on Kuhn-Tucker necessary conditions, the optimality criteria are explicitly derived in terms of the design variables - effective depth, eccentricity of prestressing steel and non prestressing steel ratio. The prestressing profile is prescribed by parabolic functions. In this paper the effective depth is considered to be freely-varying and one uniform for the entire multispan beam respectively. Also the maximum eccentricity of prestressing force is considered in every span. In order to show the applicability and efficiency of the derived algorithm, several numerical examples of PRC continuous beams are solved.

Vibration and Buckling Characteristics for Composite Rectangular Plates Stiffened with Box Beam Stiffeners (상자형 보로 보강된 복합재료 사각판의 진동 및 좌굴특성)

  • Kim, Young-Wann;Chung, Kang
    • Composites Research
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    • v.13 no.6
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    • pp.9-22
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    • 2000
  • The Rayleigh-Ritz procedure based on energy method is used to present analytically the natural frequencies and the critical buckling loads for four types of loading conditions: (1) uniaxial, (2) biaxial, (3) positive shear and (4) negative shear, of the rectangular, composite plates unidirectionally stiffened with box beam type stiffeners. In analysis the discrete stiffener theory is adopted to present the effect of stiffeners in the plate structure. The convergence study is presented to demonstrate the accuracy of the results. Contour plots of the vibrated and buckled mode shapes are shown for some examples. The effect of various parameters such as numbers, position, aspect ratio of stiffener and layer angle, aspect ratio of plate are focused.

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An Improved Multi-level Optimization Algorithm for Orthotropic Steel Deck Bridges (강바닥판교의 개선된 다단계 최적설계 알고리즘)

  • 조효남;이광민;최영민;김정호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.237-250
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    • 2003
  • Since an orthotropic steel deck bridge has large number of design variables and shows complex structural behavior, it would be very difficult and impractical to directly use a Conventional Single Level (CSL) optimization algorithm for its optimum design. Thus, in this paper, an Improved Multi Level Design Synthesis (IMLDS) optimization algorithm is proposed to improve the computational efficiency. In the proposed IMLDS algorithm, a coordination method is introduced to divide the bridge into main girders and orthotropic steel deck with preserving the characteristics of the structural behavior. For an efficient optimization of the bridge, the IMLDS algorithm incorporates the various crucial approximation techniques such as constraints deletion, Automatic Differentiation (AD), stress reanalysis, and etc. In the case of orthotropic steel deck system, optimum design problems are characterized by mixed continuous discrete variables and discontinuous design space. Thus, a modified Genetic Algorithm (GA) is also applied to optimize discrete member design for orthotropic steel deck. From the numerical example, the efficiency and convergency of the IMLDS algorithm proposed in this paper is investigated. It may be positively stated that the IMLDS algorithm will lead to more effective and practical design compared with previous algorithms.