• Title/Summary/Keyword: Moment equation

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Analysis of Crack Width and Deflection Based on Nonlinear Bond Characteristics in Reinforced Concrete Flexural Members (비선형 부착 특성에 기반한 철근콘크리트 휨부재의 균열폭과 처짐 해석)

  • Lee, Gi-Yeol;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.20 no.4
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    • pp.459-467
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    • 2008
  • This paper describes a proposal for average crack width and immediate deflection calculation in structural concrete members. The model is mathematically derived from actual bond stressslip relationships and tension stiffening effect between reinforcement and the surrounding concrete, and the actual strains of steel and concrete are integrated respectively along the embedded length between the adjacent cracks so as to obtain the difference in the axial elongation. With these, a model for average crack width and immediate deflection in reinforced concrete flexural members are proposed utilizing difference in the axial elongation and average steel strain and moment-curvature relationship with taking account of bond characteristics. The model is applied to the test specimens available in literatures, and the crack width and deflections predicted by the proposal equation in this study are closed to the experimentally measured data compared the current code provisions.

Filtration with Sedimentation II: New Analysis and Solid Mass Fraction of Suspension Entering Cake (침전이 수반되는 케이크 여과 II: 새로운 분석과 케이크에 도입되는 현탁액의 고체 질량분율)

  • Yim, Sung Sam
    • Korean Chemical Engineering Research
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    • v.50 no.3
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    • pp.535-544
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    • 2012
  • Filtration on horizontal filter medium facing upward is accompanied by sedimentation. When sedimentation phenomenon is not considered, the average specific cake resistance by filtration could be in error more than two times. In the previous paper on this subject, it was insisted that the solid mass fraction of suspension changes in filtration period by sedimentation. But we could not find out the degree of change. At the first half of this paper, the average specific cake resistance measured by permeation will be proved to be exact in several means. The average specific cake resistance conventionally measured by filtration does not give correct results because it uses initial solid mass fraction of suspension. Then we calculated the changed solid mass fraction of suspension due to sedimentation during filtration by the experimental values obtained "filtration-permeation" method. We also determined the solid mass fraction at a certain moment of filtration from the suspension height and a new equation derived in this study. The two results were compared and proven that they almost matched.

Probabilistic Behavior of In-plane Structure due to Multiple Correlated Uncertain Material Constants (상호 상관관계가 있는 다중 재료상수의 불확실성에 의한 평면구조의 확률론적 거동)

  • Noh Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.291-302
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    • 2005
  • Due to the importance of the parameter in structural response, the uncertain elastic modulus was located at the center of stochastic analysis, where the response variability caused by the uncertain system parameters is pursued. However when we analyze the so-called stochastic systems, as many parameters as possible must be included in the analysis if we want to obtain the response variability that can reach a true one, even in an approximate sense. In this paper, a formulation to determine the statistical behavior of in-plane structures due to multiple uncertain material parameters, i.e., elastic modulus and Poisson's ratio, is suggested. To this end, the polynomial expansion on the coefficients of constitutive matrix is employed. In constructing the modified auto-and cross-correlation functions, use is made of the general equation for n-th moment. For the computational purpose, the infinite series of stochastic sub-stiffness matrices is truncated preserving required accuracy. To demons4rate the validity of the proposed formulation, an exemplary example is analyzed and the results are compared with those obtained by means of classical Monte Carlo simulation, which is based on the local averaging scheme.

MPA-based IDA Using the Inelastic Displacement ratio, CR and the Collapse Intensity, RC (비탄성변위비와 붕괴강도비를 이용한 MPA기반의 IDA 해석법)

  • Han, Sang-Whan;Seok, Seung-Wook;Lee, Tae-Sub
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.5
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    • pp.33-39
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    • 2010
  • This study develops an approximate procedure for incremental dynamic analysis (IDA) using modal pushover analysis (MPA) with empirical equations of the inelastic displacement ratio ($C_R$) and the collapse strength ratio ($R_C$). By using this procedure, it is not required to conduct linear or nonlinear response history analyses of multi- or single- degree of freedom (MDF) systems. Thus, IDA curves can be effortlessly obtained. For verification of the proposed procedure, the 6-, 9- and 20-story steel moment frames are tested under an ensemble of 44 ground motions. The results show that the MPA-based IDA with empirical equations of $C_R$ and $R_C$ produced accurate IDA curves of the MDF systems. The computing time is almost negligible compared to the exact IDA using repeated nonlinear response history analysis (RHA) of a structure and the original MPA-based IDA using repeated nonlinear RHA of modal SDF systems.

A MOM-based algorithm for moving force identification: Part II - Experiment and comparative studies

  • Yu, Ling;Chan, Tommy H.T.;Zhu, Jun-Hua
    • Structural Engineering and Mechanics
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    • v.29 no.2
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    • pp.155-169
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    • 2008
  • A MOM-based algorithm (MOMA) has been developed for moving force identification from dynamic responses of bridge in the companion paper. This paper further evaluates and investigates the properties of the developed MOMA by experiment in laboratory. A simply supported bridge model and a few vehicle models were designed and constructed in laboratory. A series of experiments have then been conducted for moving force identification. The bending moment and acceleration responses at several measurement stations of the bridge model are simultaneously measured when the model vehicle moves across the bridge deck at different speeds. In order to compare with the existing time domain method (TDM), the best method for moving force identification to date, a carefully comparative study scheme was planned and conducted, which includes considering the effect of a few main parameters, such as basis function terms, mode number involved in the identification calculation, measurement stations, executive CPU time, Nyquist fraction of digital filter, and two different solutions to the ill-posed system equation of moving force identification. It was observed that the MOMA has many good properties same as the TDM, but its CPU execution time is just less than one tenth of the TDM, which indicates an achievement in which the MOMA can be used directly for real-time analysis of moving force identification in field.

Current Effect on the Motion and Drift Force of Cylinders Floating in Waves (주상체(柱狀體)의 운동(運動) 및 표류력(漂流力)에 미치는 해류(海流)의 영향(影響))

  • Sei-Chang,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.4
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    • pp.25-34
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    • 1986
  • A two-dimensional linear method has been developed for the motion and the second-order steady force arising from the hydrodynamic coupling between waves and currents in the presence of a body of arbitrary shape. Interaction between the incident wave and current in the absence of the body lies in the realm beyond our interest. A Fredholm integral equation of the second kind is employed in association with the Haskind's potential for a steadily moving source of pulsating strength located in or below the free surface. The numerical calculations at the preliminary stage showed a significant fluctuation of the hydrodynamic forces on the surface-piercing body. The problem is approximately solved by using the asymptotic Green function for $U^2{\rightarrow}0$. The original Green function, however, is applied for the fully submerged body. Numerical calculations are made for a submerged and for a half-immersed circular cylinder and extensively for the mid-ship section of a Lewis-form. Some of the results are compared with other analytical results without any available experimental data. The current has strong influence on roll motion near resonance. When the current opposes the waves, the roll response are generally negligible in the low frequency region. The current has strong influence on roll motion near resonance. When the current opposes the wave, the roll response decreases. When the current and wave come from the same direction, the roll response increases significantly, as the current speed increases. The mean drift forces and moment on the submerged body are more affected by current than those on the semi-immersed circular cylinder or on the ship-like section in the encounter frequency domain.

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Interface Shear Strength in Half Precast Concrete Slab (반두께 P.C. 슬래브의 면내전단내력에 관한 연구)

  • 이광수;김대근;최종수;신성우
    • Magazine of the Korea Concrete Institute
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    • v.6 no.4
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    • pp.161-168
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    • 1994
  • Half-P.C. slab system is the composite structural system which utilizes precast concrete for lower portion and cast in situ concrete for upper portion slab. When the composite slab using Half P.C. slab is deformed by flexural moment, horizontal shear happened at the interface between Half P.C. slab and topping concrete. To resist horizontal shear strength a scratch method has tried. To determine ultimate interface shear strength, shear stress, and shear coefficient, high and normal strength concrete are used for topping concrete. Major variables are compressive strength of topping concrete with or without shear reinforcement, quantitative roughness of the P.C. :surface and tie or untie of the stud with welded deformed wire fabric in the P.C. member. The Icross sectional area on joints is 3,200 $cm^2$ in all specimens. Test results showed that shear stress increased, as the depth of the quantitative roughness increased. The horizontal shear strength could be resisted with safe by the quantitative roughness without shear tie. A shear coefficient determinant equation is proposed such that K = 0.025918 + 0.0068894$\cdot$R – 0.000182354${\cdot}R^2$

Phase Current Variation of Bifilar-Wound Hybrid Stepping Motor by Lead Angle Control (Lead Angle 제어에 의한 복권형 하이브리드 스테핑 전동기의 상전류 변화에 관한 연구)

  • 우광준;이종언
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.12 no.1
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    • pp.26-34
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    • 1998
  • In this paper, we confirm that the instanteneous phase current of the bifilar-wound hybrid stepping motor is dependent of lead angle by the experimental results. The variation of phase current with lead angle gives informations about the rotor position at the moment when phase winding coil is excited. We show that the rotor position of the bifilar-wound hybrid stepping motor for the closed-loop drives can be detected by using the instantaneous phase current measurement. We propose an instantaneous phase current equation as the function of electrical lead angle by the modeling of the bifilar-wound hybrid stepping motor. We also analyze the relationship between instantaneous phase current and rotor position by the computer simulation results. By the experimental results, we also confirm that the information about the rotor position can be obtained from the instantaneous phase current values at the instance of $\pi/2$ electrical angle of excitation pulse. pulse.

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An Empirical Study on the Quality Management for Port Services - Primarily on Container Terminals in Busan - (항만서비스품질경영에 관한 실증연구 - 부산항 컨테이너터미널을 중심으로 -)

  • Choi, Young-Ro;Shin, Han-Won;Ko, Su-Bok
    • Journal of Navigation and Port Research
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    • v.26 no.2
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    • pp.153-159
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    • 2002
  • An empirical study was carried out to examine how Container Terminals in Busan view quality management activities by the provision of statistical evidence showing the efforts to enhance the standard of quality management, common factors of quality management activities and causal relationship among these factors. The data investigating the quality management for Busan Container Terminals were collected from 170 persons in charge of quality management for port services in Busan Container terminals by the use of questionnaire method and personal interviews. The Cronbach's a coefficient and factor analysis were used to analyze the reliability and the validity of measured variables. Furthermore, SEM (Structural Equation Modeling) method using AMOS(Analysis of MOment Structure) 4.0 was usea to analyze the cause-effect relationship among the source, activities and accomplishments of quality management representing the core concept of quality management system.

Numerical Analysis for Advection Equation Based on the Method of Moments (모멘트법에 의한 이송방정식의 수치해석)

  • Baek, Jung-Cheol;Jo, Won-Cheol;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.32 no.2
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    • pp.99-110
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    • 1999
  • The method of moments, a Lagrangian scheme, considers the zeroth, first, and second moments of the grid cell spatial distributions of the concentration and then advects the concentration by maintaining conservation of the moments. The reasonable inital description of the first and second moments as well as the mean concentration, the zeroth moments, in grid element is important in the method of moments. In this study, the description methods of each initial moment are reviewed, and the method of moments is extended to overcome the restrictions of Courant number. Its performance is compared with those of available Eulerian and Lagrangian schemes. As the results, the method is successfully extended to overcome the stability restriction and is an accurate scheme for the advection simulation of concentration distribution, especially of which the gradient is steep. In addition, the method is very promising scheme in terms of computational efficiency when the mixing is confined in a relatively small region to the entire domain in two-dimensional problem.

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