• Title/Summary/Keyword: 함수조건

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Estimation on Unsaturated Hydraulic Conductivity Function of Jumoonjin Sand for Various Relative Densities (주문진 표준사의 상대밀도에 따른 불포화 투수계수함수 산정)

  • Song, Young-Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2369-2379
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    • 2013
  • The Soil-Water Characteristics Curve (SWCC) is affected by the initial density of soil under unsaturated condition. Also, the characteristic of hydraulic conductivity is changed by the initial density of soil. To study the effect of initial density of unsaturated soil, SWCC and the Hydraulic Conductivity Function (HCF) of Jumoonjin sand with various relative densities, 40%, 60% and 75% were measured in both drying and wetting processes. As the results of SWCC estimated by van Genuchten (1980) model, the parameter related to Air Entry Value(AEV), ${\alpha}$ in the wetting process is larger than that in drying process, but the parameters related to the SWCC slope, n and the residual water content, m are larger than those in wetting process. The AEV is increased or Water Entry Value (WEV) is decreased with increasing the relative density of sand. The AEV is larger than the WEV at the same relative density of sand. As the results of HCF estimated by van Genuchten (1980) model which is one of the parameter estimation methods, the unsaturated hydraulic conductivity maintained at a saturated one in the low level of matric suctions and then suddenly decreased just before the AEV or the WEV. The saturated hydraulic conductivity in drying process is larger than that in wetting process. The saturated hydraulic conductivity is decreased with increasing the relative density of sand in both drying and wetting processes. Also, the hysteresis in unsaturated HCFs between drying and wetting process was occurred like the hysteresis in SWCCs. According to the test results, the AEV on SWCC is decreased and the saturated hydraulic conductivity is increased with increasing the initial density. It means that SWCC and HCF are affected by the initial density in the unsaturated soil.

Spatial Distribution Functions of Strength Parameters for Simulation of Strength Anisotropy in Transversely Isotropic Rock (횡등방성 암석의 강도 이방성 모사를 위한 강도정수 공간분포함수)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.26 no.2
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    • pp.100-109
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    • 2016
  • This study suggests three spatial distribution functions of strength parameters, which can be adopted in the derivation of failure conditions for transversely isotropic rocks. All three proposed functions, which are the oblate spheroidal function, the exponential function, and the function based on the directional projection of the strength parameter tensor, consist of two model parameters. With assumption that the cohesion and friction angle can be described by the proposed distribution functions, the transversely isotropic Mohr-Coulomb criterion is formulated and used as a failure condition in the simulation of the conventional triaxial tests. The simulation results confirm that the failure criteria incorporating the proposed distribution functions could reproduce the general trend in the variations of the axial stress at failure and the directions of failure planes with varying inclination of the weankness planes and confining pressure. Among three distribution functions, the function based on the directional projection of the strength parameter tensor yields the highest axial strength, while the axial strength estimated by the oblate spheroidal distribution function is the lowest.

조건문에 관한 성향적 분석

  • No, Ho-Jin
    • Korean Journal of Logic
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    • v.9 no.2
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    • pp.31-57
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    • 2006
  • 직설법적 조건문의 이론이 해결해야 할 문제 중 하나는 각자 옳을 것 같지만 모두 참일 수 없는 직설법적 조건문에 관한 세 원리들이 있다는 것이다. 먼저 직설법적 조건문을 진리 함수적으로 분석하는 것은 '주관적 확률'을 고려할 때 이 문제를 해결할 수 없다고 논증할 것이다. 필자는 여기서 직설법적 조건문에 관한 성향적 분석을 제시하고 이 이론이 세 원리들의 문제를 해결한다고 주장한다. 그리고 잘 알려져 있는 직설법적 조건문의 수용 조건 혹은 주장가능성 조건을 제시하는 아담스 논제는 조건부 확률이 두 절대적 확률의 비로 정의된 다면 옳지 않을 것이라고 주장한다. 조건부 확률을 성향적으로 정의할 경우에만 아담스 논제는 옳을 수 있다. 마지막으로 아담스 논제의 주장가능성 조건을 진리 조건으로 제시하는 이론도 논박될 것이다.

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An Integration Type Adaptive Compensator for a Class of Linearly Parameterized Systems (선형 파라미터화된 시스템에 대한 적분형 적응보상기)

  • Yoo Byung-Kook;Yang Keun-Ho
    • Journal of the Institute of Convergence Signal Processing
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    • v.6 no.2
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    • pp.82-88
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    • 2005
  • A compensation scheme for a class of linearly parameterized systems is presented. The compensator consists of a typical linearizing control and an adaptive observer with integration type update law, which is based on Speed Gradient (SG) algorithm.. Instead of the intermediate functions of the compensation schemes suggested by other researchers, the proposed compensator is designed with some design functions which guarantee the growth, convexity, attainability, and pseudo gradient conditions in the update law. The scheme achieves the asymptotic stability of the tracking error and the boundedness of the estimation errors. A numerical example is given to demonstrate the validity of the proposed design.

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Optimum of Reinforced Concrete Framed Structures by Multilevel Decomposition (다단계분할법에 의한 철근콘크리트 뼈대구조의 최적화에 관한 연구)

  • 변근주;최홍식
    • Magazine of the Korea Concrete Institute
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    • v.1 no.1
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    • pp.87-94
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    • 1989
  • 철근콘크리트 뼈대구조와 같이 설계변수가 과다하고, 제약조건식이 복잡한 구조물의 최적화를 위하여는 구조물을 여러개의 부분구조물로 분할하여 최적해를 구하는 분할법이 많이 사용되고 있다. 그러나 기존의 분할법에 의한 최적화는 구조해석과정과 고정된 부재력에대한 단면설계변수의 부분최적화 과정만으로 이루어지기 때문에, 최적해를 구하려면 반복적인 재해석과정만을 수행하지 않으면 안된다. 따라서 본 연구에서는 다단계분할법에 의하여 철근콘크리트 뼈대구조의 최적화 문제를 3단계로 형성하고, 분할된 부분최적화문제의 최적화시 전체구조의 강성 및 부재력 변화가 반영되어 부분 구조물의 결합을 유지시킬 수 있는 최적화 알고리즘을 제안하였다. 최적화 문제에서 설계변수로는 단면의 크기, 철근량, 모멘트 재분배율등을 취하고,목적함수는 경비함수, 제약조건으로는 강도설계법에 의한 부재강도, 시방서의 요구사항등을 고려하여 문제를 형성하였다. 본 연구에서 개발한 다단계 최적화과정의 첫째 단계에서는 탄성해석에 의하여 재분배모멘트의 설계공간을 형성한다. 이 때 부재력변화량추정(forece approximation technique)에 의하여 단면치수의 변화에 따른 부재력의 변화를 제약조건식 내에 포함시킬 수 있도록 하였다. 둘째 단면에서는 첫째 단계에서 구한 부재력변화량추정이 포함된 제약조건식 내에서 무제약최소화기법에 의하여 단면치수를 최적화하도록 하였다. 셋째 단계에서는 재분배 모멘트를 최적화하였으며, 이 때 재분배모멘트의 변화에 따른 단면설계 변수의 변화는 둘째 단계에서 구한 설계민감도(design sensitivity)를 이용하여 반영시키도록 하였다. 제안된 알고리즘을 1층 2경간 및 2층 1경간 뼈대구조에 적용하여 알고리즘의 타당성과 효율성을 입증하였다. 따라서 본 연구의 알고리즘은 철근 콘크리트 뼈대구조의 최적설계에 안정성있게 적용할 수 있을 것으로 판단된다.

Computational Efficiency of 3-D Contact Analysis by Domain/Boundary Decomposition Formulation (영역/경계 분할 정식화에 의한 삼차원 접촉 해석의 효율성 검토)

  • Kim, Yong-Uhn;Ryu, Han-Yeol;Shin, Eui-Sup
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.4
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    • pp.469-476
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    • 2007
  • A domain/boundary decomposition technique is applied to carry out efficient finite element analyses of 3-D contact problems. Appropriate penalty functions are selected for connecting an interface and contact interfaces with neighboring subdomains that satisfy continuity constraints. As a consequence, all the effective stiffness matrices have positive definiteness, and computational efficiency can be improved to a considerable degree. If necessary, any complex-shaped 3-D domain can be divided into several simple-shaped subdomains without considering the conformity of meshes along the interface. With a set of numerical examples, the basic characteristics of computational efficiency are investigated carefully.

Influence of Changing Coefficient of Consolidation and Layered Condition on Consolidation Behavior (압밀계수변화 및 지층조건이 압밀현상에 미치는 영향)

  • Jeon, Je-Sung;Koo, Ja-Kap;Lee, Song
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.1
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    • pp.147-157
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    • 2005
  • In this study, consolidation analysis methods reflecting various ground condition and changing coefficient of consolidation with consolidation process are presented. Research activities include development of numerical program consists of two parts considering vertical drainage only and both drainage condition with vertical and radial direction. Also, interface equation of adjacent two layers and function for changing coefficient of consolidation are added to developed program. This paper presents the results from a detailed consolidation analyses, which explores consolidation process with time in varying layered system and changing coefficient of consolidation

H Control for Discrete-Time Fuzzy Markovian Jump Systems with State and Input Time Delays (상태 및 입력 시간지연을 갖는 이산 퍼지 마코비안 점프 시스템의 H 제어)

  • Lee, Kap-Rai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.1
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    • pp.28-35
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    • 2012
  • This paper presents the method for $H_{\infty}$ fuzzy controller design of discrete-time fuzzy Markovian jump systems with state and input time delays. The Takagi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the fuzzy Markovian jump systems with state and input time delays. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller is given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficiency of the proposed design method.

Isogeometric Shape Design Optimization of Structures under Stress Constraints (응력 제한조건을 갖는 구조물의 아이소-지오메트릭 형상 최적설계)

  • Ahn, Seung-Ho;Kim, Min-Geun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.3
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    • pp.275-281
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    • 2010
  • In this paper, the design optimization of structures with stress constraints is performed using isogeometric shape optimization method. The stress constraints have an important role in design optimization problems since stress concentration could result in structural failure. To represent exact geometry in analysis, the isogeometric analysis method uses the same basis functions as used in the CAD geometry. The geometrically exact model can be used in both stress and design sensitivity analyses so that it can yield more precise optimal design than finite element one. Through numerical examples, the isogeometric approach turns out to be effective in shape optimization problems under stress constraints.