• 제목/요약/키워드: Numerical technique

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Evaluation of slope stability with Fabric Form (섬유거푸집을 적용한 비탈면의 안정성 평가)

  • Ahn, Kwang-Kuk;Choi, Young-Keun
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.10a
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    • pp.689-697
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    • 2005
  • The soil nailing system at permanent slope reinforcement is used with various facing methods in Korea. Also, pressure-injected grout technique is variously applied to many structures. However, most design of the pressure-injected grout technique have been carried out empirically because of complicated mechanisms associated with the behavior of surrounding soils and the hardening process of cement grout. Therefore this study, a newly modified soil nailing technology named as the PGSN (Pressure Grouting Soil Nailing) system with fabric form is developed to increase the global stability. Up to now, the PGSN system has been estimated mainly focusing on an establishment of the design procedure. In the present study, numerical study are carried out to evaluate potential failure surface and minimum factor of safety including facing stiffness and expanded radius of cemented grout by SSR (Shear Strength Reduction) technique. Also, results of numerical analysis are carried out for the typical section of soil nails slope using $FLAC^{2D}$ program for expanded effective radius by pressure grouting.

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Numerical Calculation of Energy Release Rates by Virtual Crack Closure Technique

  • Choi, Jae-Boong;Kim, Young-Jin;Yagawa, Genki
    • Journal of Mechanical Science and Technology
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    • v.18 no.11
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    • pp.1996-2008
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    • 2004
  • A seamless analysis of material behavior incorporating complex geometry and crack- tip modeling is one of greatly interesting topics in engineering and computational fracture mechanics fields. However, there are still large gaps between the industrial applications and fundamental academic studies due to a time consuming detailed modeling. In order to resolve this problem, a numerical method to calculate an energy release rate by virtual crack closure technique was proposed in this paper. Both free mesh method and finite element method have been utilized and, thereafter, robust local and global elements for various geometries and boundary conditions were generated. A validity of the proposed method has been demonstrated through a series of fracture mechanics analyses without tedious crack-tip meshing.

GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • UR REHMAN, MUJEEB;SAEED, UMER
    • Journal of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1069-1096
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    • 2015
  • In this article we introduce a numerical method, named Gegenbauer wavelets method, which is derived from conventional Gegenbauer polynomials, for solving fractional initial and boundary value problems. The operational matrices are derived and utilized to reduce the linear fractional differential equation to a system of algebraic equations. We perform the convergence analysis for the Gegenbauer wavelets method. We also combine Gegenbauer wavelets operational matrix method with quasilinearization technique for solving fractional nonlinear differential equation. Quasilinearization technique is used to discretize the nonlinear fractional ordinary differential equation and then the Gegenbauer wavelet method is applied to discretized fractional ordinary differential equations. In each iteration of quasilinearization technique, solution is updated by the Gegenbauer wavelet method. Numerical examples are provided to illustrate the efficiency and accuracy of the methods.

A Numerical Approach for Station Keeping of Geostationary Satellite Using Hybrid Propagator and Optimization Technique

  • Jung, Ok-Chul;No, Tae-Soo;Kim, Hae-Dong;Kim, Eun-Kyou
    • International Journal of Aeronautical and Space Sciences
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    • v.8 no.1
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    • pp.122-128
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    • 2007
  • In this paper, a method of station keeping strategy using relative orbital motion and numerical optimization technique is presented for geostationary satellite. Relative position vector with respect to an ideal geostationary orbit is generated using high precision orbit propagation, and compressed in terms of polynomial and trigonometric function. Then, this relative orbit model is combined with optimization scheme to propose a very efficient and flexible method of station keeping planning. Proper selection of objective and constraint functions for optimization can yield a variety of station keeping methods improved over the classical ones. Nonlinear simulation results have been shown to support such concept.

DEVELOPMENT OF HIGH-ORDER ADAPTIVE DISCONTINUOUS GALERKIN METHOD FOR UNSTEADY FLOW SIMULATION (비정상 유동 해석을 위한 고차정확도 격자 적응 불연속 갤러킨 기법 개발)

  • Lee, H.D.;Choi, J.H.;Kwon, O.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.534-541
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    • 2010
  • A high-order accurate Euler flow solver based on a discontinuous Galerkin method has been developed for the numerical simulation of unsteady flows on unstructured meshes. A multi-level solution-adaptive mesh refinement/coarsening technique was adopted to enhance the resolution of numerical solutions efficiently by increasing mesh density in the high-gradient region. An acoustic wave scattering problem was investigated to assess the accuracy of the present discontinuous Galerkin solver, and a supersonic flow in a wind tunnel with a forward facing step was simulated by using the adaptive mesh refinement technique. It was shown that the present discontinuous Galerkin flow solver can capture unsteady flows including the propagation and scattering of the acoustic waves as well as the strong shock waves.

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Transient heat transfer analysis using Galerkin finite element method for reinforced concrete slab exposed to high elevated temperature

  • Han, Byung-Chan;Kwon, Young-Jin;Lee, Byung-Jae;Kwon, Seung-Jun;Chae, Young-Suk
    • Computers and Concrete
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    • v.18 no.6
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    • pp.1097-1112
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    • 2016
  • Fire loading causes a critical collapse of RC (Reinforced Concrete) Structures since the embedded steels inside are relative week against high elevated temperature. Several numerical frameworks for fire resistance have been proposed, however they have limitations such as unstable convergence and long calculation period. In the work, 2-D nonlinear FE technique is proposed using Galerkin method for RC structures under fire loading. Closed-form element stiffness with a triangular element is adopted and verified with fire test on three RC slabs with different fire loading conditions. Several simulations are also performed considering fire loading conditions, water contents, and cover depth. The proposed numerical technique can handle time-dependent fire loading, convection, radiation, and material properties. The proposed technique can be improved through early-aged concrete behavior like moisture transport which varies with external temperature.

Coupled Analysis of Heat Transfer, Fluid Flow and Solidification in the Filling of Castings (용탕충진과정에 있어서 열 및 유동을 포함한 2차원 응고해석)

  • Kim, Sung-Bin;Cho, In-Sung;Kim, Jin-Su;Hong, Chun-Pyo
    • Journal of Korea Foundry Society
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    • v.13 no.5
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    • pp.424-431
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    • 1993
  • A Numerical technique has been developed for the coupled heat transfer and fluid flow calculation during the casting process. In this method the SMAC technique was coupled with the concept of Volume of Fluid(VOF) to calculate melt free surface and velocity profiles within the melt, and the Energy Marker method coupled with the finite difference method was proposed for the convective and conductive heat transfer analysis in the casting. When comparing numerical calculations with experimental observations, a close correlation was evident. It has been shown that this technique is useful for proper gating and casting design, especially for thin-walled castings.

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An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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Analysis of Electromagnetic Interference of a Parallel Plate with Apertures using the SDDI Technique (SDDI 기법을 이용하는 개구를 가지는 평행평판 구조의 전자파 간섭 해석)

  • 강승택;최재훈
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.1
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    • pp.63-67
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    • 2000
  • In this paper, the electromagnetic interference of a parallel plate with apertures is characterized by the method of moment(MoM), using the Spline-type Divided-Difference Interpolation(SDDI) technique. Particularly, for the solution of the problem, the application of the SDDI technique is extended to the calculation of the summation-type Green's functions. It improves numerical efficiency, having accuracy and saving the overall computational time required in the MoM application. For validating the proposed method, the electric fields on the apertures are calculated and compared to those of the literature. The numerical results show good agreement with them.

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Internal resonance and nonlinear response of an axially moving beam: two numerical techniques

  • Ghayesh, Mergen H.;Amabili, Marco
    • Coupled systems mechanics
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    • v.1 no.3
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    • pp.235-245
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    • 2012
  • The nonlinear resonant response of an axially moving beam is investigated in this paper via two different numerical techniques: the pseudo-arclength continuation technique and direct time integration. In particular, the response is examined for the system in the neighborhood of a three-to-one internal resonance between the first two modes as well as for the case where it is not. The equation of motion is reduced into a set of nonlinear ordinary differential equation via the Galerkin technique. This set is solved using the pseudo-arclength continuation technique and the results are confirmed through use of direct time integration. Vibration characteristics of the system are presented in the form of frequency-response curves, time histories, phase-plane diagrams, and fast Fourier transforms (FFTs).