• Title/Summary/Keyword: Gauss`s law

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Calculation of Capacitance Using Surface-Contacted Element and Application (표면접촉요소에 의한 정전용량계산 및 응용)

  • 박필용;현정수;최승길;심재학;강형부
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.05a
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    • pp.399-402
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    • 1999
  • In this paper, a new method for calculating capacitance in arbitrarily shape structure is Presented. This new approach based on divergence theorem of Gauss\`s law is acheive by Surface-Contacted Element(SCE) for Gaussian surface. To evaluate accurate capacitance value in nonuniform electric field. in two dimensional analysis the interpolation using the elements which contact one nod (PE: Point-Element) or two nod (FE: Face-Element) is employed. Because the elements contacted with surface are very small compared with total elements in analytic model, SCE method has shorter computing time to calculate capacitance. This proposed method is verified by comparing the simulated results with value obtained by analytic method.

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Analysis of Excimer laser ablation via FDTD method (FDTD방법을 이용한 엑시머 레이저 어블레이션 해석)

  • Bae C.H.;Choi K.H.;Kim D.S.;Lee S.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.163-164
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    • 2006
  • In this paper, an analytical laser ablation model with Maxwell equation will be addressed by considering relationship between laser ablation and material. The Maxwell equation consists of four equations: two Gauss laws for electric and magnetic fields, Faraday's law, and Ampere's law. This analytical model will be calculated by employing Finite Difference Time Domain (FDTD). This method also makes it possible to simulate the laser beam propagation in a wide range of materials, such as metals, semiconductors, and dielectrics. Therefore, in this study, a numerical model for short pulse laser interaction with materials is developed, focusing on the accurate description of laser beam propagation and ablation process into the material with each pulse.

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Vibration based energy harvesting performance of magneto-electro-elastic beams reinforced with carbon nanotubes

  • Arjun Siddharth Mangalasseri;Vinyas Mahesh;Sriram Mukunda;Vishwas Mahesh;Sathiskumar A Ponnusami;Dineshkumar Harursampath;Abdelouahed Tounsi
    • Advances in nano research
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    • v.14 no.1
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    • pp.27-43
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    • 2023
  • This article investigates the energy harvesting characteristics of a magneto-electro-elastic (MEE) cantilever beam reinforced with carbon nanotubes (CNT) under transverse vibration. To this end, the well-known lumped parameter model is used to represent the coupled multiphysics problem mathematically. The proposed system consists of the MEE-CNT layer on top and an inactive substrate layer at the bottom. The substrate is considered to be made of either an isotropic or composite material. Basic laws such as Gauss's Law, Newton's Law and Faraday's Law are used to arrive at the governing equations. Surface electrodes across the beam are used to harvest the electric potential produced, together with a wound coil, for the generated magnetic potential. The influence of various distributions of the CNT and its volume fraction, substrate material, length-to-thickness ratio, and thickness ratio of substrate to MEE layer on the energy harvesting behaviour is thoroughly discussed. Further, the effect of external resistances and changes in substrate material on the response is analysed and reported. The article aims to explore smart material-based energy harvesting systems, focusing on their behaviour when reinforced with carbon nanotubes. The results of this study may lead to an improved understanding of the design and analysis of CNT-based smart structures.

Analytical Calculation for the Breakdown Voltage of the Punchthrough Diode with Cylindrical Junction Edge (원통형 접합경계를 갖는 punchthrough 다이오드의 항복전압에 대한 해석적 계산)

  • Kim, Doo-Young;Kim, Han-Soo;Choi, Yearn-Ik;Han, Min-Koo
    • Proceedings of the KIEE Conference
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    • 1994.07b
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    • pp.1448-1450
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    • 1994
  • The breakdown voltages of punchthrough-mode diodes with cylindrical junction are analytically calculated, The proposed method, which is based on th Gauss's law, estimates the lateral expansion of the depletion region as well as the electric field and the charge distribution. The proposed method is given in terms of epitaxial layer width, the epitaxial layer doping concentration, and curvature radius of the junction edge. The calculation results agree well with the MEDICI simulation results for various device parameters.

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An Analysis of Capacitance in Multi-electrode System by Surface-Contacted Elements (표면접촉요소에 의한 다중 전극계의 정전용량 해석)

  • Park, Pil-Yong;Choi, Seung-Kil;Shim, Jae-Hak;Kang, Hyung-Boo
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2287-2289
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    • 1999
  • In this paper, a new method for calculating capacitance in multi-electrode system with arbitrarily shape is presented. This new approach based on divergence theorem and Gauss's law is achieved by Surface-Contacted Element(SCE) for Gaussian surface. To evaluate capacitance in multi-electrode system, two dimensional finite element method using only the elements which is contacted one nod (PE: Point-Element) or two nod (FE: Face-Element) with surface is employed. The proposed SCE method has short computing time to calculate capacitance which is because it uses only SCE elements and needs one calculation loop while exiting FEM method in servral loops. This method is verified by application in calculating capacitance using potential detection device model which is composed with anode, cathode, and floating electrode.

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A Discourse Analysis to Public Library Ecosystem in Korea (국내 공공도서관 생태계의 담론적 분석)

  • Yoon, Hee-Yoon
    • Journal of the Korean Society for Library and Information Science
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    • v.51 no.1
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    • pp.5-27
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    • 2017
  • The goal of this study is to suggest various improvements and expanding strategies of the public library ecosystem. For this goal, researcher reviewed and analyzed the realistic landscapes and social recognitions about the public library ecosystem as local public goods, and discoursed the basic principles and structural terrain of public library ecosystem based on natural ecosystem. As a result, researcher proposed multifaceted alternatives (ensure library's identity and publicity applying Law of Karma, strengthen librarian's professionalism on the premise of overcoming the Minerva's syndrome, optimize the library service and collection management based on the Pareto principle, reduce reading room and differentiated program through resolution of Halo effect, eliminate usage bias by life cycle based on the Gauss distribution, acceptance of the digital paradigm and use-friendly spatialization that ruminates the Icarus paradox, incorporate small library into public library system through a clear understanding of the Gresham's law, and enforce communication and spread social and cultural value through the practice of the Pompeii paradox).

Nonlinear spectral collocation analysis of imperfect functionally graded plates under end-shortening

  • Ghannadpour, S. Amir M.;Kiani, Payam
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.557-568
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    • 2018
  • An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

Exact third-order static and free vibration analyses of functionally graded porous curved beam

  • Beg, Mirza S.;Khalid, Hasan M.;Yasin, Mohd Y.;Hadji, L.
    • Steel and Composite Structures
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    • v.39 no.1
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    • pp.1-20
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    • 2021
  • An exact solution based on refined third-order theory (TOT) has been presented for functionally graded porous curved beams having deep curvature. The displacement field of the refined TOT is derived by imposing the shear free conditions at the outer and inner surfaces of curved beams. The properties of the two phase composite are tailored according the power law rule and the effective properties are computed using Mori-Tanaka homogenization scheme. The equations of motion as well as consistent boundary conditions are derived using the Hamilton's principle. The curved beam stiffness coefficients (A, B, D) are obtained numerically using six-point Gauss integration scheme without compromising the accuracy due to deepness (1 + z/R) terms. The porosity has been modeled assuming symmetric (even) as well as asymmetric (uneven) distributions across the cross section of curved beam. The programming has been performed in MATLAB and is validated with the results available in the literature as well as 2D finite element model developed in ABAQUS. The effect of inclusion of 1 + z/R terms is studied for deflection, stresses and natural frequencies for FG curved beams of different radii of curvature. Results presented in this work will be useful for comparison of future studies.

Flow Signal Characteristics of Small Scale Electromagnetic Flowmeter in Low Conductivity Fluid Measurement (저전도율 유체 측정에서 소형 전자기유량계의 신호 특성)

  • Lim, Ki Won;Jung, Sung Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.9
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    • pp.613-620
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    • 2016
  • In order to scrutinize the fluid conductivity effects on the electromagnetic flowmeter(EMF) characteristics, a small scale EMF was designed and fabricated. The measuring tube has a $3mm{\times}4mm$ rectangular cross-section, 9 mm length, and a $2mm{\times}3mm$ plate electrode and a ${\Phi}1.5mm$ point electrode. The design parameters, such as the magnetizing frequency and the number of coil turns, and the diameter were optimized. The EMF was tested with a gravimetric calibrator and showed good linearity in the range of 0 to $1.17{\times}10^{-5}m^3/s$. The fluid conductivity was varied between 3 and $11{\mu}S/cm$, and the magnitude of the flow signal was proportional to the fluid conductivity and the wetted area of the electrode. The design information and the test results provide flow measurement techniques for very low flowrate.

Vertical Buoyant Jet in Tidal Water -Crossflowing Environment- (흐름 수역(水域)에서 연직상향부력(鉛直上向浮力)?)

  • Yoon, Tae Hoon;Cha, Young Kee;Kim, Chang Wan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.1
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    • pp.11-22
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    • 1987
  • A plane buoyant jet discharged vertically upward into a crossflow is analyzed by numerical solution of the governing equations of continuity, momentum and constituent transport. The turbulent transport is modelled by the Prandtl's mixing length theory. In the numerical solution procedure, the governing equations are transformed by stream function and vorticity transport, non-dimensionalyzed by discharge velocity, slot width, and parameters representing flow characteristics, and solved by Gauss-Seidel iteration method with successive underrelaxation. The numerical experiments were performed for the region of established flow of buoyant jet in the range of discharge densimetric Froude number of 4 to 32 and in the range of velocity ratio of 8 to 15, which is the ratio of discharge velocity to crossflow velocity. Variations of velocities and temperatures, flow patterns and vorticity patterns of receiving water due to buoyant jet were investigated. Also investigated are the effects of velocity ratio and discharge densimetric Froude number on the trajectories of buoyant jet. Computed are velocities, temperatures and local densimetric Froude numbers along the trajectory of the buoyant jet. Spreading rate and dispersion ratio were analyzed in terms of discharge densimetric Froude number, local densimetric Froude number and distance from the source along the jet trajectory. It was noted that the similarity law holds in both the profiles of velocity and temperatures across the jet trajectory and the integral type analysis of Gaussian distribution is applicable.

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