• Title/Summary/Keyword: Gradients

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A Second-Order Particle Tracking Method

  • Lee, Seok;Lie, Heung-Jae;Song, Kyu-Min;Lim, Chong-Jeanne
    • Ocean Science Journal
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    • v.40 no.4
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    • pp.201-208
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    • 2005
  • An accurate particle tracking method for a finite difference method model is developed using a constant acceleration method. Being assumed constant temporal and spatial gradients, the new method permits temporal-spatial variability of particle velocity. Test results in a solid rotating flow show that the new method has second-order accuracy. The performance of the new method is compared with that of other methods; the first-order Euler forward method, and the second-order Euler predictor-corrector method. The new method is the most efficient method among the three. It is more accurate and efficient than the other two.

Temperature Analysis for Carbon Steel at Quenching Process by F. E. M.(Finite Element Method) (탄소강의 퀜칭과정에서 유한요소법을 이용한 온도해석)

  • Kim, Ok Sam;Cho, Eui Il;Shin, Young Woo
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.2
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    • pp.103-110
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    • 1994
  • It is well-known that the analysis of temperature distribution is substantilly important in optimal design of quenching process. The unsteady state temperature gradients generated during the quenching process were numerically calculated by the Finite Element Method(F. E. M.). Formulations of F. E. M. based weighted residural method were presented for the analysis of the two dimensional heat conduction problem. In the process of calculation, the temperature dependency of physical properties of the material was in consideration. At early stage of the quenching process, the abrupt temperature gradient has been shown in the surface of the carbon steel(SM45C).

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Exemplar-based image inpainting method using directional information of pixel gradients (픽셀 그레디언트의 방향성 정보를 이용한 예제기반 이미지 인페인팅 방법)

  • Lee, Hyunhyung;Chung, Byungjin;Yim, Changhoon
    • Annual Conference of KIPS
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    • 2015.04a
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    • pp.848-850
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    • 2015
  • 본 논문에서는 픽셀 그레디언트의 방향성 정보를 이용하여 복원하는 예제기반 인페인팅 방법을 제안한다. 제안하는 방법에서는 영상 내에서 픽셀 그레디언트의 방향성을 검출하여 강도가 높은 그레디언트를 가지는 픽셀들을 먼저 복원하는 특징을 가진다. 지역적인 그래디언트의 특성을 이용하여 복원 영역의 연결성을 높이고 에러의 파급 효과를 줄임으로써, 기존의 예제기반 인페인팅 방법보다 개선된 결과를 보여준다.

Surface and flexoelectricity effects on size-dependent thermal stability analysis of smart piezoelectric nanoplates

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • v.67 no.2
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    • pp.143-153
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    • 2018
  • Thermal buckling of nonlocal flexoelectric nanoplates incorporating surface effects is analyzed for the first time. Coupling of strain gradients and electrical polarizations is introduced by flexoelectricity. It is assumed that flexoelectric nanoplate is subjected to uniform and linear temperature distributions. Long range interaction between atoms of nanoplate is modeled via nonlocal elasticity theory. The residual surface stresses which are usually neglected in modeling of flexoelectric nanoplates are incorporated into nonlocal elasticity to provide better understanding of the physic of problem. A Galerkin-based approach is implemented to solve the governing equations derived from Hamilton's principle are solved. The verification of obtained results is performed by comparing buckling loads of flexoelectric nanoplate with previous data. It is shown that buckling loads of flexoelectric nanoplate are significantly affected by thermal loading type, temperature change, nonlocal parameter, surface effect, plate thickness and boundary conditions.

Electric Field Gradients at Copper Sites in the High $T_c$ Superconductor $YBa_2Cu_3O_{7-x}$

  • So Hyunsoo
    • Bulletin of the Korean Chemical Society
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    • v.10 no.6
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    • pp.551-554
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    • 1989
  • Quadrupole coupling constants of $^{63}$CU in the high $T_c$ superconductor $YBa_2Cu_3O_7_{-x}$, as determined by NQR or NMR studies, are compared with the values for representative Cu(Ⅱ) complexes determined by analyzing the forbidden lines in their EPR spectra. It is shown that the two NQR lines at 22 and 31 MHz correpsond to the quadrupole coupling constants of a square planar Cu(Ⅱ) complex and a square pyramidal Cu(Ⅱ) complex, respectively.t This result is in agreement with the assignment of these lines to Cu(1) and Cu(2) sites in YBCO based on the NMR spectra of oriented single crystals.

Gradient based Stereo Temperature Sensor System (구배값을 이용한 스테레오 열감지 센서 시스템)

  • Lee, Sooyong
    • The Journal of Korea Robotics Society
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    • v.14 no.4
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    • pp.258-263
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    • 2019
  • Some animals have special sensing functions in order to find foods, home and mates. Instead of passively sensing, they discharge signals and then extract necessary information from the response. More importantly, they utilize the gradients of the sensed signal in order to find the destination or objects. In this paper this special strategy is formulated mathematically, i.e., the perturbation and the correlation based gradient estimation is developed. A stereo sensor system using temperature sensors mounted on motors is developed for verification. The proposed method can estimate the gradient of the measured value accurately. Using this method, the direction in the maximum measured value can be estimated accurately, and the position of the heat source can be estimated from the intersection of the directions estimated from both sensors.

Innovative Modeling and Simulation of Reacting Flow with Complex Confined Boundaries

  • Kim, Ki-Hong;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.311-319
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    • 2008
  • We present an innovative method of multi physics application involving energetic materials. Energetic materials are related to reacting flows in extreme environments such as fires and explosions. They typically involve high pressure, high temperature, strong shock waves and high strain rate deformation of metals. We use an Eulerian methodology to address these problems. Our approach is naturally free from large deformation of materials that make it suitable for high strain rate multi-material interacting problems. Furthermore we eliminate the possible interface smearing by using the level sets. We heave devised a new level set based tracking framework that can elegantly handle large gradients typically found in reacting gases and metals. We show several work-in-progress application of our integrated framework.

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Collapse behaviour of three-dimensional brick-block systems using non-linear programming

  • Baggio, Carlo;Trovalusci, Patrizia
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.181-195
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    • 2000
  • A two-step procedure for the application of non linear constrained programming to the limit analysis of rigid brick-block systems with no-tension and frictional interface is implemented and applied to various masonry structures. In the first step, a linear problem of programming, obtained by applying the upper bound theorem of limit analysis to systems of blocks interacting through no-tension and dilatant interfaces, is solved. The solution of this linear program is then employed as initial guess for a non linear and non convex problem of programming, obtained applying both the 'mechanism' and the 'equilibrium' approaches to the same block system with no-tension and frictional interfaces. The optimiser used is based on the sequential quadratic programming. The gradients of the constraints required are provided directly in symbolic form. In this way the program easily converges to the optimal solution even for systems with many degrees of freedom. Various numerical analyses showed that the procedure allows a reliable investigation of the ultimate behaviour of jointed structures, such as stone masonry structures, under statical load conditions.

Strategy for refinement of nodal densities and integration cells in EFG technique

  • Patel, Bhavana S.S.;Narayan, Babu K.S.;Venkataramana, Katta
    • Structural Engineering and Mechanics
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    • v.59 no.5
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    • pp.901-920
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    • 2016
  • MeshFree methods have become popular owing to the ease with which high stress gradients can be identified and node density distribution can be reformulated to accomplish faster convergence. This paper presents a strategy for nodal density refinement with strain energy as basis in Element-Free Galerkin MeshFree technique. Two popular flat plate problems are considered for the demonstration of the proposed strategies. Issue of integration errors introduced during nodal density refinement have been addressed by suggesting integration cell refinement. High stress effects around two symmetrical semi-circular notches under in-plane axial load have been addressed in the first problem. The second considers crack propagation under mode I and mode II fracture loading by the way of introducing high stress intensity through line crack. The computational efficacy of the adaptive refinement strategies proposed has been highlighted.

The Study on Configurations and Interferences of differential gear unit for Light Rail Transit (경량전철용 차동기어장치의 구성 및 간섭에 관한 연구)

  • 김연수;박성혁;이우동;정종덕;한석윤
    • Proceedings of the KSR Conference
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    • 1999.11a
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    • pp.99-106
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    • 1999
  • Because many light rail transit systems are mainly operated in the downtown areas of a large cities and the congestion areas, there are many steep gradients and sharp radius sections in that lines. As that reasons above, light rail vehicles are equipped with differential gear units between traction motors and final reduction gear units. In this paper, the configurations and the interferences of 2K-H I type Planetary gear train, which is applicable for light rail vehicles and based on various differential gear units, are studied. The ranges of addendum modification coefficients which would not lead to interferences is analyzed, and optimal addendum modification coefficients among these ranges are presented, which generate the maximum efficiency of planetary gear drives and differential gear unit as pressure angles, speed ratios,

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