• Title/Summary/Keyword: cubic system

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Numerical Analysis of Flow Interference at Discontinuity Junction of fracture Network (단열교차점에서 유체간섭에 관한 수치적 고찰)

  • 박영진;이강근;이승구
    • Journal of the Korean Society of Groundwater Environment
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    • v.4 no.3
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    • pp.111-115
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    • 1997
  • Discrete fracture model has become one of the alternatives for the classical continuum model to simulate the irregular aspects of the fluid flow and the solute transport in fractured rocks. It is based on the assumptions that the discharge in a single fracture is proportional to the cube of the aperture and the fractured rock can be represented by the statistical assemblage of such single fractures. This study is intended to evaluate the effect of the fracture junction on the cubic law. Numerical solution of flow in junction system was obtained by using the Boundary-Fitted Coordinate System (BFCS) method. Results with different intersection angles in crossing fractures show that the geometry of the junction affects the discharge pattern under the same simulation conditions. Therefore, strict numerical and experimental examinations on this subject are required.

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Vibration Design of a Rigid Body Supported by Orthogonal Springs (직교스프링들에 의해 지지되는 강체의 진동 설계)

  • Jang, Seon-Jun;Lee, Jun-Ho;Choi, Yong-Je
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.97-104
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    • 2007
  • Vibration analysis of a rigid body supported by in-parallel linear springs can be greatly simplified by utilizing the conditions for a plane of symmetry. The vibration modes of an oscillatory system having plane of symmetry are classified into the in-plane and out-of-plane modes. From the viewpoint of screw theory, they represent respectively the vibration axes perpendicular to the plane of symmetry and lying in the plane of symmetry. In this paper, the sets of orthogonal and mutually intersecting three springs are used as resilient support of a rigid body. The geometrical conditions for the system to have a plane of symmetry and diagonalized stiffness matrix are presented. From the orthogonality of the vibration modes with respect to the inertia matrix, the geometrical relation between the reaction wrenches and the vibration modes are derived. This geometrical relation is then used to get the cubic design equation for the design of out-of-plane modes. The numerical design example of engine mounts is presented in order to explain the suggested design technique.

A Design Database for High Speed IC Package Interconnection (고속 집적회로 패키지 인터커넥션을 위한 설계 데이타베이스)

  • ;;;F. Szidarovszki;O.A.Palusinski
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.12
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    • pp.184-197
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    • 1995
  • In this paper, high speed IC package-to-package interconnections are modeled as lossless multiconductor transmission lines operating in the TEM mode. And, three mathematical algorithms for computing electrical parameters of the lossless multiconductor transmission lines are described. A semi-analytic Green's function method is used in computing per unit length capacitance and inductance matrices, a matrix square root algorithm based on the QR algorithm is used in computing a characteristic impedance matrix, and a matrix algorithm based on the theory of M-matrix is used in computing a diagonally matched load impedance matrix. These algorithms are implemented in a computer program DIME (DIagonally Matched Load Impedance Extractor) which computes electrical parameters of the lossless multiconductor transmission lines. Also, to illustrate the concept of design database for high speed IC package-to-package interconnection, a database for the multi conductor strip transmission lines system is constructed. This database is constructed with a sufficiently small number of nodes using the multi-dimensional cubic spline interpolation algorithm. The maximum interpolation error for diagonally matched load impedance matrix extraction from the database is 1.3 %.

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NUMERICAL ANALYSIS FOR THE SHALLOW WATER EQUATIONS ON THE SPHERE BY CIP METHOD (CIP법을 이용한 구 좌표계에서의 천수 방정식 해석)

  • Yoon, Seong-Young;Kim, Soo-Youn;Kim, Hyun-Chul
    • Journal of computational fluids engineering
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    • v.10 no.2
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    • pp.7-14
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    • 2005
  • In this study, the shallow water equations on the sphere is simulated by the proposed method which has high spatial resolution and is based on the CIP(Cubic Interpolated Pseudoparticle) method. The governing equations are approximated on the longitude-latitudinal coordinate system. To avoid the problems resulting from the convergence of the meridians toward high-latitude and singularities on the poles, the semi-Lagrangian and finite volume method are employed. in addition, the CIP method is employed to solve the advection equations and is extended to apply on the equations in the polar coordinate system. The mathematical formulation and numerical results are also described. To verify of the efficiency, accuracy and capability of proposed algorithm, the standard test cases proposed bv Williamson et. al are simulated and the results are compared with other results. As a result, it is found that the present scheme gives a good properties in preserving shapes of solution and settles the pole problems in solving the shallow water equations on the sphere.

Performance Improvement of DS-CDMA Signal through MZ Modulator in Optical SCM Signal Transmission with Rake Receiver (광 SCM 전송방식에서 MZ 변조기를 통과한 DS-CDMA 신호의 레이크 수신기에 의한 성능개선)

  • 김회준;이도현;신성일;임명섭
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.11
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    • pp.1113-1120
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    • 2003
  • It is expected in the future that the demand of optical subcarrier multiplexing system, in which a number of small size base stations with only antenna and RF transmission are connected to central station using optical fiber, will be increased in the CDMA digital cellular mobile communication network. In this paper, in order to analysis the performance of optical SCM system fur CDMA RF signal transmission, MZ modulator is modelled as a non-linear transfer function with cubic operation. The performance degradation due to multipath signals and other user signals through MB modulator is analyzed and the performance is improved using the Rake receiver.

Phase Transition adn Crystal Structure Analysis Using Rietveld Method in the $(Na_{0.3}Sr_{0.7})(Ti_{0.7}M_{0.3})O_3 (M=Ta, Nb)$ System (Rietveld 법을 이용한 $(Na_{0.3}Sr_{0.7})(Ti_{0.7}M_{0.3})O_3 (M=Ta, Nb)$ 계에서의 결정구조 해석과 상전이 특성)

  • 정훈택;김호기
    • Journal of the Korean Ceramic Society
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    • v.32 no.5
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    • pp.582-586
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    • 1995
  • The crystal structures of (Na0.3Sr0.7)(Ti0.7M0.3)O3 (M=Ta, Nb) compounds were determined using the Rietveld method. Due to the tilting of a oxygen octahedron, (Na0.3Sr0.7)(Ti0.7Nb0.3)O3 had a superlattice of doubled a, b and c of simple perovskite. The crystal structure of (Na0.3Sr0.7)(Ti0.7M0.3)O3 was tetragonal with a space group 14/mmm. The crystal structure of (Na0.3Sr0.7)(Ti0.7M0.3)O3 was a cubic with space group Pm3m, in which no tilting of oxygen octahedron was observed. The difference in the oxygen tilting of these two materials was due to the larger covalency of Nb-O bond than that of Ta-O bond, which induced a strong $\pi$Nb0 bonding in (Na0.3Sr0.7)(Ti0.7M0.3)O3. Therefore, the higher transition temperature of (Na0.3Sr0.7)(Ti0.7M0.3)O3 could be related to the larger tilting of oxygen octahedron.

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A Numerical Solution of Transport of Mono- and Tri-valent Cations during Steady Water Flow in a Binary Exchange System

  • Ro, Hee-Myong;Yoo, Sun-Ho
    • Journal of Applied Biological Chemistry
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    • v.43 no.1
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    • pp.18-24
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    • 2000
  • A one-dimensional transport of displacing monovalent ion, $A^+$, and a trivalent ion being displaced, $B^{3+}^ in a porous exchange system such as soil was approximated using the Crank-Nicolson implicit finite difference technique and the Thomas algorithm in tandem. The variations in the concentration profile were investigated by varying the ion-exchange equilibrium constant (k) of ion-exchange reactions, the influent concentrations, and the cation exchange capacity (CEC) of the exchanger, under constant flux condition of pore water and dispersion coefficient. A higher value of k resulted in a greater removal of the native ion, behind the sharper advancing front of displacing ion, while the magnitude of the penetration distance of $A^+$ was not great. As the CEC increased, the equivalent fraction of $B^{3+}^ initially in the soil was greater, thus indicating that a higher CEC adsorbed trivalent cations preferentially over monovalent ions. Mass balance error from simulation results was less than 1%, indicating this model accounted for instantaneous charge balance fairly well.

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Varition Microstructure for Heat treatment of Thin Films $BaTiO_3$ System ($BaTiO_3$계 세라믹 박막의 열처리에 따른 미세구조변화)

  • Park, Choon-Bae;Song, Min-Jong;Kim, Tae-Wan;Kang, Dou-Yol
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.293-295
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    • 1994
  • Barium Titanate ($BaTiO_3$) is one of the few titanateds which is cubic at room temperature. It has the perovskite structure, high dielectric constant (${\varepsilon}_r=300$) and a small temperature coefficient of resistance due to it's Low transition temperature ($Tc=120^{\circ}c$). PTCR (Positive Temperature Coefficient of Resistivity) thermistor in thin film $BaTiO_3$ system was prepared by using radio frequency (13.56MHz) and BC magnetron sputter equipment. Polycrystalline, and surface structure characteristics of the specimens were measured by X-ray diffraction (D-Max3, Rigaku, Japan), SEM(Scanning Electron Microscopy: M. JSM84 01, Japan), respectively. Temperature at below $600^{\circ}C$, $1000^{\circ}C$ to $700^{\circ}C$, and above $1100^{\circ}C$ for spotted $BaTiO_3$ thin films showed the amorphous, degree of crystal growth, and polycrystalline, respectively.

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Passive suppression of helicopter ground resonance instability by means of a strongly nonlinear absorber

  • Bergeot, Baptiste;Bellizzi, Sergio;Cochelin, Bruno
    • Advances in aircraft and spacecraft science
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    • v.3 no.3
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    • pp.271-298
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    • 2016
  • In this paper, we study a problem of passive suppression of helicopter Ground Resonance (GR) using a single degree freedom Nonlinear Energy Sink (NES), GR is a dynamic instability involving the coupling of the blades motion in the rotational plane (i.e. the lag motion) and the helicopter fuselage motion. A reduced linear system reproducing GR instability is used. It is obtained using successively Coleman transformation and binormal transformation. The analysis of the steadystate responses of this model is performed when a NES is attached on the helicopter fuselage. The NES involves an essential cubic restoring force and a linear damping force. The analysis is achieved applying complexification-averaging method. The resulting slow-flow model is finally analyzed using multiple scale approach. Four steady-state responses corresponding to complete suppression, partial suppression through strongly modulated response, partial suppression through periodic response and no suppression of the GR are highlighted. An algorithm based on simple criterions is developed to predict these steady-state response regimes. Numerical simulations of the complete system confirm this analysis of the slow-flow dynamics. A parametric analysis of the influence of the NES damping coefficient and the rotor speed on the response regime is finally proposed.

Synthesis of Platinum Nanoparticles Using Electrostatic Stabilization and Cluster Duplication of Perfluorinated Ionomer

  • Lee, Pyoung-Chan;Kim, Dong-Ouk;Han, Tai-Hoon;Kang, Soo-Jung;Pu, Lyong-Sun;Nam, Jae-Do;Kim, Byung-Woo;Lee, Jun-Ho
    • Macromolecular Research
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    • v.17 no.3
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    • pp.187-191
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    • 2009
  • Platinum (Pt) nanoparticles were prepared by the liquid-phase reduction of tetraammineplatinum (II) chloride $([Pt(NH_3)_4]Cl_2)$ using Nafion as a stabilizer under various conditions of the Nation phase. This method is novel in its use of electrostatic interactions between the Pt complex ions and sulfonic groups in the hydrated Nation molecules. The synthesized Pt nanoparticles of the recast film system had a cubic shape. In the case of the Nation solution system, the Pt nanoparticles mainly had a spherical shape. The shapes and sizes of the Pt nanoparticles were strongly influenced by the Nation phase.