• Title/Summary/Keyword: analytical procedure

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Modeling of composite MRFs with CFT columns and WF beams

  • Herrera, Ricardo A.;Muhummud, Teerawut;Ricles, James M.;Sause, Richard
    • Steel and Composite Structures
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    • v.43 no.3
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    • pp.327-340
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    • 2022
  • A vast amount of experimental and analytical research has been conducted related to the seismic behavior and performance of concrete filled steel tubular (CFT) columns. This research has resulted in a wealth of information on the component behavior. However, analytical and experimental data for structural systems with CFT columns is limited, and the well-known behavior of steel or concrete structures is assumed valid for designing these systems. This paper presents the development of an analytical model for nonlinear analysis of composite moment resisting frame (CFT-MRF) systems with CFT columns and steel wide-flange (WF) beams under seismic loading. The model integrates component models for steel WF beams, CFT columns, connections between CFT columns and WF beams, and CFT panel zones. These component models account for nonlinear behavior due to steel yielding and local buckling in the beams and columns, concrete cracking and crushing in the columns, and yielding of panel zones and connections. Component tests were used to validate the component models. The model for a CFT-MRF considers second order geometric effects from the gravity load bearing system using a lean-on column. The experimental results from the testing of a four-story CFT-MRF test structure are used as a benchmark to validate the modeling procedure. An analytical model of the test structure was created using the modeling procedure and imposed-displacement analyses were used to reproduce the tests with the analytical model of the test structure. Good agreement was found at the global and local level. The model reproduced reasonably well the story shear-story drift response as well as the column, beam and connection moment-rotation response, but overpredicted the inelastic deformation of the panel zone.

An analytical approach for nonlinear response of elastic cable under complex loads

  • Lu, L.Y.;Chan, S.L.;Lu, Z.H.
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.329-338
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    • 1997
  • In this paper a general analytical approach is proposed to analyse the nonlinear response of elastic cable under complex loads. The effect of temperature change on the cable is also considered. From the vertical equilibrium equations of cable, the general analytical formula of vertical displacement is derived. Based on the vertical displacement formula and on the compatibility condition of the cable, the dimensionless equation with respect to cable tension is established. By means of such analytical procedures, the exact solutions of various cable problems can be obtained quickly. The example given in this paper shows that the new procedure is efficient for practical analysis and can be easily implemented by a general computer program without the superposition problem which there has always been in traditional analytical methods.

Data intercomparison and determination of toxic and trace elements in Algae using Instrumental Neutron Activation Analysis (중성자방사화분석에 의한 Algae중의 독성미량원소의 정량 및 실험실간 비교검증)

  • Chung, Yong-Sam;Moon, Jong-Hwa;Park, Kwang-Won;Lee, KiI-Yong;Yoon, Yoon-Yeol
    • Analytical Science and Technology
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    • v.12 no.4
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    • pp.346-353
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    • 1999
  • For the non-destructive multi-elemental analysis of environmental and biological materials, instrumental neutron activation analysis (INAA) was applied for the determination of toxic and trace elements in a set of three Algae samples provided by the International Atomic Energy Agency (IAEA). The analytical quality control was evaluated by comparing the analytical results of two standard reference materials of the National Institute of Standards and Technology (NIST); Oyster Tissue (SRM 1566a) and Citrus Leaves (SRM 1572). According to given analytical procedure, the concentration of 15-25 elements including spiked elements such as As, Cd, Cr and Hg in Algae samples were determined. To identify and validate these results, a data intercomparison program using more than 35 analytical methods in 150 laboratories was carried out and the estimated statistical data are summarized. Result of INAA is favorable, therefore, it is illustrated that can be applied for routine analysis of essential and toxic elements in algae samples as well as analytical quality assurance.

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Parallel tunnel settlement characteristics: a theoretical calculation approach and adaptation analysis

  • Liu, Xinrong;Suliman, Lojain;Zhou, Xiaohan;Abd Elmageed, Ahmed
    • Geomechanics and Engineering
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    • v.28 no.3
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    • pp.225-237
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    • 2022
  • Settlement evaluation is important for shallow tunnels in big cities to estimate the settlement that occurs due to the excavation of twin tunnels. The majority of earlier research on analytical solutions, on the other hand, concentrated on calculating the settlement for a single tunnel. This research introduces a procedure to evaluate the settlement induced by the excavation of twin tunnels (two parallel tunnels). In this study, a series of numerical analysis were performed to validate the analytical solution results. Two geological conditions were considered to derive the settlement depending on each case. The analytical and numerical methods were compared, which involved considering many sections and conducting a parametric study; the results have good agreement. Moreover, a comparison of the 3D flat model and 2D (FEM) with the analytical solution shows that in the fill soil, the maximum settlement values were obtained by the analytical solution. In contrast, the values obtained by the analytical solution in the rock is more conservative than those in the fill. Finally, this method was shown to be appropriate for twin tunnels dug side by side by utilizing finite element analysis 3D and 2D (PLAXIS 3D and PLAXIS 2D) to verify the analytical equations. Eventually, it will be possible to use this approach to predict settlement troughs over twin tunnels.

Analytical formula for decoding of images encoded using fractal algorithm proposed by monro and dudbridge (Monro 및 Dudbridge의 프랙탈 알고리즘으로 부호화된 영상의 해석식을 이용한 복호화)

  • 김재철;김원호;박종식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.5
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    • pp.907-914
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    • 1997
  • The conventional decoding procedure for the images encoded using fractal contractive transformation algorithms is performed by applying the transformations iteratively for an arbirary initial image. In this paper, we showed that the atractor image can be obtained analytically when the image is encoded using the fractal algorithm proposed by Monro and Dudbridge, in which the corresponding domain block for a range block is fixed. Using the analytical formula, we can obtain the attractor image without iteration procedure. Computer simulation results for various test images show that we can increase the image decoding speed by more than five times when we use the analytical formula compared to the previous iteration methods. Also we confirmed that the real time decoding by software on PD is possible for the moving picture with QCIF formats.

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Numerical Simulation of Shock Wave Reflecting Patterns for Different Flow Conditions

  • Choi, Sung-Yoon;Oh, Se-Jong
    • International Journal of Aeronautical and Space Sciences
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    • v.3 no.1
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    • pp.74-85
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    • 2002
  • The numerical experiment has been conducted to investigate the unsteady shock wave reflecting phenomena. The cell-vertex finite-volume, Roe's upwind flux difference splitting method with unstructured grid is implemented to solve unsteady Euler equations. The $4^{th}$-order Runge-Kutta method is applied for time integration. A linear reconstruction of the flux vector using the least-square method is applied to obtain the $2^{nd}$-order accuracy for the spatial derivatives. For a better resolution of the shock wave and slipline, the dynamic grid adaptation technique is adopted. The new concept of grid adaptation technique, which is much simpler than that of conventional techniques, is introduced for the current study. Three error indicators (divergence and curl of velocity, and gradient of density) are used for the grid adaptation procedure. Considering the quality of the solution and the numerical efficiency, the grid adaptation procedure was updated up to $2^{nd}$ level at every 20 time steps. For the convenience of comparison with other experimental and analytical results, the case of interaction between the straight incoming shock wave and a sharp wedge is simulated for various flow conditions. The numerical results show good agreement with other experimental and analytical results, in the shock wave reflecting structure, slipline, and the trajectory of the triple points. Some critical cases show disagreement with the analytical results, but these cases also have been proven to show hysteresis phenomena.

Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness

  • Eipakchi, Hamidreza;Nasrekani, Farid Mahboubi
    • Steel and Composite Structures
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    • v.43 no.2
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    • pp.241-256
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    • 2022
  • In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

Comparison of Seismic Performance of Steel Moment Frame according to Different Analytic Joint Models (국내 철골골조의 접합부모델에 따른 내진성능 비교)

  • 이준석;한상환;이리형
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.317-323
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    • 2000
  • The purpose of this study is to compare the seismic resistant capacity inherent in ductile moment resisting frames using two different joint modeling. The difference between these two models is the capability for considering the panel zone deformation. For this purpose, 5 story steel moment frame is designed in compliance to the Korean seismic design provisions and the steel structure design standard. Nonlinear Static Procedure(NSP) and Nonlinear Dynamic Procedure(NDP) of this structure are carried out using two different joint models. Based on the results of NSP and NDP, the sensitivity of the response to analytical modeling is appraised. Also, it is proposed that for the highrise steel structures, the joint deformation should be accounted properly by the analytical model.

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Flexural Behavior of Strengthened RC Beams Using FRP Sheets (FRP시트를 이용한 보강 철근콘크리트보의 휨 거동)

  • 박대효;부준성
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.75-80
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    • 2001
  • This paper investigates the flexural behavior of reinforced concrete beams strengthened with externally bonded fiber reinforced plastic (FRP) sheets is investigated in this work. FRP is attractive for strengthening the RC beams due to its good tensile strength, low weight, resistance to corrosion, and easy applicability. A simple and direct analytical procedure for evaluating the ultimate flexural capacity of FRP strengthened reinforced concrete (SRC) beams is presented using the equilibrium equations and compatibility of strains. Upper and lower limits of FRP sheet area to ensure the ductile behavior are established. A parametric study is conducted to investigate the effects of design variables such as sheet area, sheet stiffness and strength, concrete compression strength, and steel reinforcement ratio. The analytical procedure is compared with results of experimental data available in the literature.

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An Analytical Modeling for Bridging Stress Function Involving Grain Size Distribution in a Polycrystalline Alumina (다결정 알루미나에서 결정립 크기 분포를 포함하는 Bridging 응력함수의 해석적 모델링)

  • 손기선;이성학;백성기
    • Journal of the Korean Ceramic Society
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    • v.31 no.12
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    • pp.1449-1458
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    • 1994
  • A new analytical model which can discribe the relationship between the bridging stress and the crack opening displacement was proposed to investigate the microstructural effect on the R-curve behavior in a polycrystalline alumina. The crack opening displacement according to the distance behind the stationary crack tip was measured using in-situ fracture technique in an SEM, and then used for a fitting procedure to obtain the distribution of bridging stress. The current model and an empirical power law relation were introduced into the fitting procedure. The results indicated that the bridging stress function and R-curve computed by the current model were consistent with those computed by the power law relation. The microstructural factor, e.g., the distribution of grain size, was also found to be closely related to the bridging stress. Thus, this model explained well the interaction effect between the distribution of bridging stress and the local-fracture-controlling microstructure, providing important information for the systematic interpretation of microfracture mechanism including R-curve behavior of a monolithic alumina.

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