• Title/Summary/Keyword: Radial limit

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NONRELATIVISTIC LIMIT IN THE SELF-DUAL ABELIAN CHERN-SIMONS MODEL

  • Han, Jong-Min;Song, Kyung-Woo
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.997-1012
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    • 2007
  • We consider the nonrelativistic limit in the self-dual Abelian Chern-Simons model, and give a rigorous proof of the limit for the radial solutions to the self-dual equations with the nontopological boundary condition when there is only one-vortex point. By keeping the shooting constant of radial solutions to be fixed, we establish the convergence of radial solutions in the nonrelativistic limit.

The Forming Limit of Flange in the Radial Extrusion (레이디얼 압출에서 플랜지의 성형한계)

  • 고병두;장동환;최호준;임중연;황병복
    • Transactions of Materials Processing
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    • v.12 no.3
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    • pp.228-235
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    • 2003
  • In this paper, the workability of flange in the radial extrusion is analyzed in terms of the deformation pattern, the punch load and the forming limit by using simulation and experiment. A single action pressing is applied to both simulation and experiment. The analysis in this study is focused on the transient extrusion into the gap in radial direction with various gap heights and die corner radius. Based on the surface strains where surface cracking occurs, the forming patterns and strain-fracture relationships in producing radially extruded flange are obtained.

저형상비 토카막 중성자원에 기반한 핵변환로 형상 연구

  • Hong, Bong-Geun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.414.2-414.2
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    • 2016
  • The optimal configuration of a transmutation reactor based on a low aspect ratio tokamak is determined using coupled analysis of tokamak systems and neutron transport. The inboard radial build of the reactor components is obtained from plasma physics and engineering constraints, while outboard radial builds are mainly determined by constraints on a neutron multiplication, a tritium-breeding ratio, and a power density. It is shown that a breeding blanket model has an impact on the radial build of a transmutation blanket. A burn cycle has to be determined to limit a fast neutron fluence of a plasma facing material below a radiation damage limit.

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CONFORMAL DENSITY OF VISIBILITY MANIFOLD

  • Kim, Hyun-Jung
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.211-222
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    • 2001
  • In this paper, we prove the existence and uniqueness of a $\delta(\Gamma)$-conformal density on the limit set of $\Gamma$ acting on visibility manifold H for a Fuchsian group $\Gamma$.

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NEW EVALUATION METHODS FOR RADIAL UNIFORMITY IN NEUTRON TRANSMUTATION DOPING

  • Kim, Hak-Sung;Lim, Jae-Yong;Pyeon, Cheol-Ho;Misawa, Tsuyoshi;Shiroya, Seiji;Park, Sang-Jun;Kim, Myong-Seop;Oh, Soo-Youl;Jun, Byung-Jin
    • Nuclear Engineering and Technology
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    • v.42 no.4
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    • pp.442-449
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    • 2010
  • Recently, the neutron irradiation for large diameter silicon (Si)-ingots of more than 8" diameter is requested to satisfy the demand for the neutron transmutation doping silicon (NTD-Si). By increasing the Si-ingot diameter, the radial non-uniformity becomes larger due to the neutron attenuation effect, which results in a limit of the feasible diameter of the Si-ingot. The current evaluation method has a certain limit to precisely evaluate the radial uniformity of Si-ingot because the current evaluation method does not consider the effect of the Si-ingot diameter on the radial uniformity. The objective of this study is to propose a new evaluation method of radial uniformity by improving the conventional evaluation approach. To precisely predict the radial uniformity of a Si-ingot with large diameter, numerical verification is conducted through comparison with the measured data and introducing the new evaluation method. A new concept of a gradient is introduced as an alternative approach of radial uniformity evaluation instead of the radial resistivity gradient (RRG) interpretation. Using the new concept of gradient, the normalized reaction rate gradient (NRG) and the surface normalized reaction rate gradient (SNRG) are described. By introducing NRG, the radial uniformity can be evaluated with one certain standard regardless of the ingot diameter and irradiation condition. Furthermore, by introducing SNRG, the uniformity on the Si-ingot surface, which is ignored by RRG and NRG, can be evaluated successfully. Finally, the radial uniformity flattening methods are installed by the stainless steel thermal neutron filter and additional Si-pipe to reduce SNRG.

A Study on the Static and Dynamic Equivalent Load of the Ball Bearings (볼 베어링의 등가하중에 관한 연구)

  • 이재선;한동철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.1
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    • pp.157-162
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    • 2000
  • The ball bearings are the widely-used machine elements in many machineries. They support not only the radial and the axial force but also the moment in many cases. To simply determine the limit load which can be maintained on an ball bearing or survived in wanted life, the combined the radial and axial force with the moment is converted to the equivalent radial or axial load. However, it is not easy to calculate the equivalent load on the ball bearings. So the simplified equations to evaluate the dynamic and static equivalent load considering the axial force and moment are proposed in this analysis. And the modified equation for the static equivalent radial load with the moment and the axial load is proposed. It is desired that these equations are effectively refered in designing the machineries where the ball bearings are installed.

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A Comparison of HPL of RAIM Algorithm (RAIM 알고리즘의 허용오차 경계 비교)

  • 이중원;지규인
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.52-52
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    • 2000
  • The HPL(Horizontal Protection Limit) means bound of radial horizontal error with given probability in satellite navigation system. RAIM algorithm is not available if HPL exceeds HAL (Horizontal Alert Limit). So exact calculation of HPL is very significant in RAIM algorithm. In this paper the methods that calculate HPL their own way a]:e studied and compared by simulation. And availability of RAIM algorithm is evaluated also.

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Numerical Computation of Bearing Capacity Factor $N_{\gamma}$ (지지력 계수 $N_{\gamma}$의 수치적 산정법)

  • Kim, Won-Cheul
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.565-573
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    • 2004
  • This study is to present explicit analytical expressions for calculating bearing capacity factor $N_{\gamma}$, to provide results of the numerical computation instead of the graphical method. In this study, $N_{\gamma}$ is proposed in the critical failure surface on assumption that the center of log spiral in the radial shear zone can be located at the any points of around footing. The critical failure surface is one which yields minimum passive pressure $P_{\gamma}$ on the radial shear zone from the family of log spirals accoding to change of the center of log spiral. This study adoptes Terzaghi's bearing capacity principle(e.g., Prandtl's mechanism, limit equilibrium equation, superposition principle) but the soil wedge in an elastic zone makes angle $45^{\circ}+{\phi}/2$ with the horizontal and the location of the log spiral's center.

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Radial basis function collocation method for a rotating Bose-Einstein condensation with vortex lattices

  • Shih, Y.T.;Tsai, C.C.;Chen, K.T.
    • Interaction and multiscale mechanics
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    • v.5 no.2
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    • pp.131-144
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    • 2012
  • We study a radial basis function collocation method (RBFCM) to discretize a coupled nonlinear Schr$\ddot{o}$dinger equation (CNLSE) that governs a two dimensional rotating Bose-Einstein condensate (BEC) with an angular momentum rotation term. We exploit a RBFCM-continuation method (RBFCM-CM) to trace the solution curve of the CNLSE. We compare the performance of the RBFCM-CM with the FEM-CM. We observe that the RBFCM-CM is very robust in a coarse grid for resolving the ground state solution with many vortices when the angular momentum rotation is close to the limit. Numerical results demonstrate the efficiency and accuracy of the RBFCM-CM for computing the superfluid density of the ground level of the BEC.