• Title/Summary/Keyword: 변수분리법

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Nonlinear Diffraction of Incident Waves with Side-band Disturbances by a Thin Wedge (변조된 입사파의 쐐기에 의한 산란)

  • 지원식;최항순
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.1
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    • pp.45-53
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    • 1991
  • The nonlinear forward diffraction of a modulated wave train by a thin wedge has been studied analytically. Since the physical variables involved in the problem have vastly different scales, the multiple scale expansion method has been used to obtain an approximate solution. To simplify the problem. the wedge is assumed to be thin and the parabolic approximation is utilized. The wave evolution can be described by a kind of the cubic Schrodinger equation. which consists of the linear time evolution. the lateral dispersion and the nonlinearity. Numerical results indicate that the nonlinearity. which it defined by the ratio of the ratio of the incident wave to the wedge angle. governs the amplitude and the stability of diffracted waves. The instability of dirffracted waves becomes more pronounced as the nonlinearity increases and the modulation ratio decreases. It is also found that the stem waves. initially developed along the wedge. can not sustain for a long time.

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Effect of Zeolite-X ion Exchange on Adsorption Isotherms of Gases (X형 제올라이트의 이온교환이 기체 평형흡착량에 미치는 영향)

  • Kim, K.I.;Kim, T.H.;Park, J.K.;Kim, J.W.;You, Y.J.;Cho, S.C.;Jin, M.J.
    • Applied Chemistry for Engineering
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    • v.9 no.3
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    • pp.317-321
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    • 1998
  • X-type Zeolite for the gas separation was prepared by hydrothermal methods and the zeolite was ion-exchanged with KCl, $CaCl_2$, $YCl_3$ and $InCl_3$ in order to investigate the effect of ions on the properties of molecular sieves. Adsorption isotherms of $CO_2$ on ion exchanged X-type zeolites and those of $O_2$ and $N_2$ on the synthesized zeolite were measured at $25^{\circ}C$ using a volumetric method and the adsorption characteristics were compared with each other. Model parameters for the Langmuir, Freundlich and Toth equations were regressed for the measured adsorption isotherms. In order to confirm the applicability of the zeolite on $CO_2-PSA$ processes, breakthrough tests and process simulation were undertaken. It was found that the X-type zeolite could be a potential adsorbent in recovering $CO_2$ from flue gas.

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Analytic Solution to Mild Slope Equation for Transformation of Waves Propagating over an Axi-symmetric Pit (축대칭 함몰지형 위를 진행하는 파의 변형에 관한 완경사 방정식의 해석 해)

  • Jung, Tae-Hwa;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.4
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    • pp.308-320
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    • 2006
  • An analytic solution to the mild-slope equation is derived for waves propagating over an axi-symmetric pit. The water depth inside the pit varies in proportion to a power of radial distance from the pit center. The governing equation is transformed into ordinary differential equations by using separation of variables, and the coefficients of the equations are transformed into explicit forms by using Hunt's (1979) approximate solution. Finally, by using the Frobenius series, the analytic solution is derived. Due to the feature of Hunt's equation, the present analytic solution is accurate in shallow and deep waters, while it is less accurate in intermediate depth water. The validity of the analytic solution is demonstrated by comparison with numerical solutions. The analytic solution is also used to examine the effects of pit geometry and relative depth on wave transformation.

A Study on the Optimization of Steel Structures Considering Displacement Constraints (변위제약조건을 고려한 강구조물의 최적화에 관한 연구)

  • Kim, Ho Soo;Lee, Han Joo
    • Journal of Korean Society of Steel Construction
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    • v.10 no.4 s.37
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    • pp.657-666
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    • 1998
  • This study presents an effective dual algorithm for the optimal design of steel structures with displacement constraints. The dual method can replace a primary optimization problem with a sequence of approximate explicit subproblems with a simple algebraic structure. Since being convex and separable, each subproblem can be solved efficiently by the dual method. Specifically, this study uses the principle of virtual work to obtain the displacement constraint equations with an explicit form and adds the linear regression equation expressing the relationships between the cross-section properties to the dual algorithm to reduce the number of design variables. Furthermore, this study deals with the discrete optimization problem to select members with the standard steel sections. Through numerical analyses, the proposed method will be compared with the conventional optimality criteria method.

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Evaluation of Solder Printing Efficiency with the Variation of Stencil Aperture Size (스텐실 개구홀 크기 변화에 따른 솔더프린팅 인쇄효율 평가)

  • Kwon, Sang-Hyun;Kim, Jeong-Han;Lee, Chang-Woo;Yoo, Se-Hoon
    • Journal of the Microelectronics and Packaging Society
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    • v.18 no.4
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    • pp.71-77
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    • 2011
  • Main parameters of the screen printing were determined and the printing parameters were optimized for 0402, 0603, and 1005 chips in this study. The solder pastes used in this study were Sn-3.0Ag-0.5Cu and Sn-0.7Cu. The process parameters were stencil thickness, squeegee angle, printing speed, stencil separating speed and gap between stencil and PCB. The printing pressure was fixed at 2 $kgf/cm^2$. From ANOVA results, the stencil thickness and the squeegee angle were determined to be main parameters for the printing efficiency. The printing efficiency was optimized with varying two main parameters, the stencil thickness and the squeegee angle. The printing efficiency increased as the squeegee angle was lowered under 45o for all chips. For the 0402 and the 0603 chips, the printing efficiency increased as the stencil thickness decreased. On the other hand, for the 1005 chip, the printing efficiency increased as the stencil thickness increased.

A Study on the Improvement Policy for Entering Telecommunication Business of Private Network Holders (자가망 사업자의 통신사업 진입에 따른 개선 방안)

  • 이동식;김기문
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.8
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    • pp.1200-1205
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    • 2002
  • Construction of Private networks is becoming easier due to the openness of telecommunication market, rapidly developing telecommunication technology. The size of existing private networks is becoming huge which resulted in surplus of capacity of the networks. These trends will generate a problem of efficient use of national telecommunication resources and which will be a factor for the structure of domestic telecommunication market which will have a big impact on the existing telecommunication carriers. Therefore, national policy of private network issues should be considered along with the national efforts for the information infrastructure, control of telecommunication market, fairness of competition, strength Power of national competition. In this paper it will be suggested that the efficient policy on the issue of domestic private network, by analyzing present situation, status quo, laws, regulation and procedure for domestic private networks and comparing it with those of U.S.A, Japan, EU.

Hydrologic Response Analysis Considering the Scale Problem : Part 1. Derivation of the Model (규모문제를 고려한 수문응답의 해석 : 1. 모형이론의 유도)

  • 성기원;선우중호
    • Water for future
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    • v.28 no.4
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    • pp.185-194
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    • 1995
  • The objective of this study is to explore scale problem and to analyze the relations between scale and geomorphologic parameters of the rainfall-runoff model. Generally, measurement and calculation of geomorphologic parameters rely on and are sensitive to the resolution of source information available. Therefore, rainfall-runoff models using geomorphologic parameters should take account of the effects of the map scale used in their development. The derived rainfall-runoff model considering scale problem in this research is the GIUH type model, that is a basin IUH consisting of the channel network response and hillslope response. The cannel network response is computed by means of the diffusion analogy transformed from linearized St. Venant equation and hillslope response is calculated by 2-parameter gamma distribution function. Representing geomorphologic structure of the channel network and initial distribution of its response is width function. This width function is derived by fractal theory and Melton's law to consider scale problems and is weighted by the source location function (SLF) proposed in this research to increase the applicability.

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Composition-control of Mn-Zn Ferrite Single Crystal Using a Phase Diagram (상평형도를 이용한 Mn-Zn 페라이트 단결정 조성 조절)

  • Je, Hae-June;Kim, In-Tae;Hong, Kug-Sun
    • Analytical Science and Technology
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    • v.5 no.3
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    • pp.327-332
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    • 1992
  • Mn-Zn ferrite single crystals show some fluctuations in composition along the direction of growth by the conventional Bridgman method. The single crystal with a uniform composition was obtained by maintaining the liquid composition content. For example, two batches of powder were prepared : one is consisted of 52 mol% of $Fe_2O_3$, 30 mol% of MnO, and 18 mol% Zn(Composition A), and the other 53 mol% of $Fe_2O_3$, 28.5 mol% of MnO, and 18.5 mol% ZnO(Composition B). Crack-free single crystals with the uniform composition B were grown in a size of 60mm diameter, 300mm long by melting the pellets of composition A and followed by supplying the composition B as tablets. Initial permeabilities were obtained above 600 at 5 MHz in the region of 30~270 mm along the direction of growth.

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Optimization of Biopolymer Production from Alkali-Tolerant Bacillus sp. (알칼리 내성 Bacillus sp.의 생물고분자 생산조건의 최적화)

  • Lee, Shin-Young;Lee, Beom-Su;Lee, Keun-Eok
    • Korean Journal of Food Science and Technology
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    • v.23 no.2
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    • pp.167-174
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    • 1991
  • Cultural conditions for the biopolymer production by an alkali tolerant Bacillus sp. isolated from soil were investigated and determination of optimal conditions was carried out by response surface method. The maximal production of biopolymer was obtained after cultivation at $30^{\circ}C$ for 36hrs in the mixture of 8% soluble starch, 0.75% yeast extract, 0.1% $NaNO_3$, 0.05% $MgSO_4\;7H_2O$ and 1% $Na_2CO_3$ adjusted to pH 10. Under these conditions, about 44 g/l of biopolymer were produced. From the results of response surface analysis, optimal condition for the production of biopolymer were obtained at stationary point with 15.16 of C/N ratio, $34.62^{\circ}C$ of temperature and 9.50 of pH. On the basis of these conditions, it was estimated that 66.84 g/l of the biopolymer could be produced.

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Dynamic Analysis of Offshore Structures Considering External Fluid-Structure Interaction (외부유체-구조물의 상호작용을 고려한 해양구조물의 동적해석)

  • Hwang, Chul-Sung;Paik, In-Yeol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.1
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    • pp.271-281
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    • 2005
  • The effects of radiation damping is used to compensate the truncated boundary which is relatively close to the structure-fluid interface in the fluid element surrounding the submerged structures. An efficient ring element is presented to model the shell and fluid element which fully utilizes the characteristics of the axisymmetry. The computational model uses the technique which separate the meridional shape and circumferential wave mode and gets similar result with the exact solution in the eigenvalues and the earthquake analysis. The fluid-structure interaction techniques is developed in the finite element analysis of two dimensional problems using the relations between pressure, nodal unknown acceleration and added mass assuming the fluid to be invicid, incompressible and irrotational. The effectiveness and efficiency of the technique is demonstrated by analyzing the free vibration and seismic analysis using the added mass matrix considering the structural deformation effect.