• 제목/요약/키워드: Linear behavior

검색결과 2,505건 처리시간 0.031초

Ussing's flux ratio theorem for nonlinear diffusive transport with chemical interactions

  • Bracken, A.J.;McNabb, A.;Suzuki, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.747-752
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    • 1994
  • Ussing's flux ratio theorem (1978) reflects a reciprocal relationship behavior between the unidirectional fluxes in asymmetric steady diffusion-convection in a membrane slab. This surprising result has led to many subsequent studies in a wide range of applications, in particular involving linear models of time dependent problems in biology and physiology. Ussing's theorem and its extensions are inherently linear in character. It is of considerable interest to ask to what extent these results apply, if at all, in situations involving, for example, nonlinear reaction. A physiologically interesting situation has been considered by Weisiger et at. (1989, 1991, 1992) and by McNabb et al. (1990, 1991) who studied the role of albumin in the transport of ligands across aqueous diffusion barriers in a liver membrane slab. The results are that there exist reciprocal relationships between unidirectional fluxes in the steady state, although albumin is chemically interacting in a nonlinear way of the diffusion processes. However, the results do not hold in general at early times. Since this type of study first started, it has been speculated about when and how the Ussing's flux ratio theorem fails in a general diffusion-convection-reaction system. In this paper we discuss the validity of Ussing-type theorems in time-dependent situations, and consider the limiting time behavior of a general nonlinear diffusion system with interaction.

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가공전선의 이도거동에서 탄성계수와 선팽창계수의 영향 (The Effects of Elastic Modulus Coefficient and Linear Expansion Coefficient of Overhead Conductor on Sag Behavior)

  • 김병걸;김상수;왕윤찬
    • 한국전기전자재료학회논문지
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    • 제21권10호
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    • pp.954-960
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    • 2008
  • The effects of elastic modulus coefficient and linear expansion coefficient of overhead distribution power line(ACSR $58 mm^2$) on sag behavior in distribution line have been investigated to clarify the difference between specification and experimental level. The elastic modulus coefficients of Al wire and steel wire were $5,182.6 kgf/mm^2,\;18,348.8 kgf/mm^2$, respectively Therefore, the computational composition elastic modulus coefficient of the power line was $7,063.5 kgf/mm^2$, while that of experimentally measured was $7681.1 kgf/mm^2$. As a result, we found that elastic modulus coefficient which was experimentally measured was higher than that of computational by 8.7 %. However, when planner designs the sag of disoibution line, the elastic modulus coefficient of power line $8,400 kgf/mm^2$ should be generally adopted. These two different using values lead to the sag difference of 0.62 m. The other results will be discussed.

일반 구조용강 열간압연 박판에 대한 CTOD와 CTOA 곡선 결정 (Determination of CTOD & CTOA Curve for Structural Steel Hot-Rolled Thin Plates)

  • 이계승;이억섭
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.729-732
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    • 2003
  • The K-R design curve is an engineering method of linear-elastic fracture analysis under plane-stress loading conditions. By the way, linear-elastic fracture mechanics (LEFM) is valid only as long as nonlinear material deformation is confined to a small region surrounding the crack tip. Like general steels, it is virtually impossible to characterize the fracture behavior with LEFM, in many materials. Critical values of J contour integral or crack tip opening displacement (CTOD) give nearly size independent measures of fracture toughness, even for relatively large amounts of crack tip plasticity. Furthermore, the crack tip opening displacement is the only parameter that can be directly measured in the fracture test. On the other. the crack tip opening angle (CTOA) test is similar to CTOD experimentally. Moreover, the test is easier to measure the fracture toughness than other method. The shape of the CTOA curve depends on material fracture behavior and, on the opening configuration of the cracked structure. CTOA parameter describes crack tip conditions in elastic-plastic materials, and it can be used as a fracture criterion effectively. In this paper, CTOA test is performed for steel JS-SS400 hot-rolled thin plates under plane-stress loading conditions. Special experimental apparatuses are used to prevent specimens from buckling and to measure crack tip opening angle for thin compact tension (CT) specimens.

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Effect of higher order terms of Maclaurin expansion in nonlinear analysis of the Bernoulli beam by single finite element

  • Zahrai, Seyed Mehdi;Mortezagholi, Mohamad Hosein;Mirsalehi, Maryam
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.949-966
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    • 2016
  • The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope-deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.

암석파괴역학에 의한 3차원 절리면의 진행성 파괴 모델 (A Three-Dimensional Progressive Failure Model for Joints Considering Fracture Mechanics and Subcritical Crack Growth in Rock)

  • 김치환
    • 터널과지하공간
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    • 제19권2호
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    • pp.86-94
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    • 2009
  • 암석파괴역학과 파괴인성(rock fracture toughness) 이하의 응력확대계수(stress intensity factor)에서 균열이 성장하는 현상을 이용하여 암석 절리면의 비선형 강도특성과, 시간의 경과에 따라 파괴가 진행되는 특성을 고려한 수치해석용 3차원 절리면 요소를 개발하였다. 이 절리면 요소를 사용하여 암석 절리면 전단시험을 수치해석으로 모사한 결과, 전단응력이 증가하고 시간이 경과함에 따라 절리면 사이에 연결된 절리면 내 접점(asperity in joint)에서 암석의 파괴인성보다 응력확대계수가 작음에도 불구하고 균열이 발생하였고 시간이 경과하면서 균열이 성장, 절리면 내 접점이 파괴되었다. 이와 같이 각각의 절리면 내 접점의 파괴에 따라 절리면의 강도는 감소하고, 절리면의 전단응력은 응력경화와 응력연화 후 잔류응력에 도달하는 비선형거동을 보이면서 시간의 경과에 따라 점진적으로 파괴되었다.

Numerical investigation on the response of circular double-skin concrete-filled steel tubular slender columns subjected to biaxial bending

  • Abu-Shamah, Awni;Allouzi, Rabab
    • Steel and Composite Structures
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    • 제37권5호
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    • pp.533-549
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    • 2020
  • Recently, Concrete-filled double skin steel tubular (CFDST) columns have proven an exceptional structural resistance in terms of strength, stiffness, and ductility. However, the resistance of these column members can be severely affected by the type of loading in which bending stresses increase in direct proportion with axial load and eccentricity value. This paper presents a non-linear finite element based modeling approach that studies the behavior of slender CFDST columns under biaxial loading. Finite element models were calibrated based on the outcomes of experimental work done by other researchers. Results from simulations of slender CFDST columns under axial loading eccentric in one direction showed good agreement with the experimental response. The calibrated models are expanded to a total of thirty models that studies the behavior of slender CFDST columns under combined compression and biaxial bending. The influences of parameters that are usually found in practice are taken into consideration in this paper, namely, eccentricity-to-diameter (e/D) ratios, slenderness ratios, diameter-to-thickness (D/t) ratios, and steel contribution ratios. Finally, an analytical study based on current code provisions is conducted. It is concluded that South African national standards (2011) provided the most accurate results contrasted with the Eurocode 4 (2004) and American Institute of Steel Construction (2016) that are found to be conservative. Accordingly, correction factors are proposed to the current design guidelines to provide more satisfactory results.

포장체의 강성이 강상판의 거동에 미치는 영향에 관한 기초연구 (A Fundamental Study on the Effects of Pavement Stiffness to the Structural Behavior of Orthotropic Steel Plate Deck)

  • 이환우;정두회
    • 한국구조물진단유지관리공학회 논문집
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    • 제7권1호
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    • pp.191-198
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    • 2003
  • The pavement stiffness is scarcely used in structural analysis to design the superstructure of bridge. It is reasonable not to consider it in the case of asphalt concrete pavement over concrete deck because the pavement stiffness compared with the concrete deck plate can be ignored. However, sometimes, the pavement materials have a similar amount of elastic modulus to concrete and are applied to the orthotropic steel deck plate which has relatively less stiffness compared with the concrete deck plate. In this paper, the steel plate deck of a real bridge project was analyzed by considering the pavement stiffness by linear elastic FEM. It was assumed that a perfect bond between the steel plate deck and the pavement exited. The results indicated that the structural behavior of the orthotropic steel deck plate can be estimated enough to affect the evaluation result of structural capacity in some cases. Therefore, the investigations by experimental tests and more advanced numerical model are indispensible in figuring the design formula for considering the effects of pavement stiffness in the structural analysis of an orthotropic bridge.

Behavior in Solution and Mixing Ratio-Dependent Binding Modes of Carcinogenic Benzo[a]pyrene-7,8-dione to Calf Thymus DNA

  • Jin, Biao;Han, Sung Wook;Lee, Dong Jin
    • Bulletin of the Korean Chemical Society
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    • 제35권10호
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    • pp.3015-3020
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    • 2014
  • The behavior of benzo[a]pyrene-7,8-dione (BPQ) in aqueous solution and its interaction with native DNA was investigated using conventional absorption and linear dichroism (LD) spectroscopy. The appearance of a broad absorption maximum at long wavelengths and its proportional relationship to solvent polarizability suggested that BPQ adopts a aggregated state for all solutions examined. Disappearance of this absorption band at higher temperatures in aqueous solution also supported BPQ aggregation. When associated with DNA absorption spectral properties were essentially the same as that in aqueous solution. However, two isosbestic wavelengths were found in the concentration-dependent absorption spectrum of the BPQ-DNA complex, suggesting the presence of at least two or more DNA-bound BPQ species. Both species produced $LD^r$ spectra whose magnitude in BPQ absorption region is larger or comparable to that in the DNA absorption region, suggesting that the molecular BPQ plane is near perpendicular relative to the local DNA helical axis. Therefore, BPQ molecules are aligned along the DNA stem in both DNA-aggregated BPQ species.

용융 폴리우레탄의 비 뉴톤 유동 메카니즘과 유변학적인 성질 (The Non Newtonian Flow Mechanism and Rheological Properties of Polyurethane Melts)

  • 김남정
    • Elastomers and Composites
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    • 제44권4호
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    • pp.423-428
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    • 2009
  • 용융 폴리우레탄의 비 뉴톤 유동곡선을 Physica cone-plate 레오메타를 사용하여 여러 온도에서 구하였다. 이러한 유동 곡선을 이론적인 비 뉴톤 유동식에 적용하여 유동파라메타를 얻었다. 유동곡선에서 전단 속도를 증가시켰다가 감소시킬 때 hysteresis loop가 나타나며, 틱소트로피 유동 현상을 보인다. 용융 폴리우레탄은 전단 흐름에서는 강한 젤 현상을 보이나, 항복응력 이상에서는 비선형 점탄성 성질을 나타낸다. 전단속도를 감소시킬 때 구조변형이 일어나서 전단응력이 전단 속도 증가시보다 작은 값을 보이게 된다.

신형식 거더의 고강도 콘크리트 적용 시 비선형 거동 분석 (Non-linear Behavior of New Type Girder Filled by High-Strength Concrete)

  • 최성우;이학;공정식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.217-220
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    • 2008
  • 구조물의 시공에 있어 더욱 경제적이고 안정적인 결과를 얻기 위해 최근 전 세계적으로 고성능 콘크리트와 복합재료에 관한 연구가 활발히 이루어지고 있다. 그 중 하나로 대구경의 강관 내부를 콘크리트계 재료로 충전하여 충전재간의 상호 구속효과(Confinement effect)로 인해 부재의 변형성능과 강성 및 내력을 향상시키는 콘크리트 충전 강관구조(Concrete Filled Steel Tubular Structure, CFT구조)에 아치구조 효과와 강선 등을 이용한 프리스트레스 구조를 도입하여, 구조적, 경제적 효율성을 극대화 시킨 새로운 형식의 거더인 CFTA 거더(Concrete Filled and Tied Steel Tubular Arch 거더)가 있다. 본 연구에서는 구조해석 프로그램인 ABAQUS 6.5-1을 사용하여 CFTA 거더에 일반 콘크리트와 여러 강도의 고강도 콘크리트를 충전한 모델의 비선형 거동을 분석하고 각각의 결과를 비교 분석하였다.

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