• 제목/요약/키워드: Gauss`s law

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

  • 박필용;현정수;최승길;심재학;강형부
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1999년도 춘계학술대회 논문집
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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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FDTD방법을 이용한 엑시머 레이저 어블레이션 해석 (Analysis of Excimer laser ablation via FDTD method)

  • 최경현;배창현;김동수;이석희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2006년도 춘계학술대회 논문집
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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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    • 제14권1호
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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.

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

  • 김두영;김한수;최연익;한민구
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 하계학술대회 논문집 C
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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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표면접촉요소에 의한 다중 전극계의 정전용량 해석 (An Analysis of Capacitance in Multi-electrode System by Surface-Contacted Elements)

  • 박필용;최승길;심재학;강형부
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 E
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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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국내 공공도서관 생태계의 담론적 분석 (A Discourse Analysis to Public Library Ecosystem in Korea)

  • 윤희윤
    • 한국문헌정보학회지
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    • 제51권1호
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    • pp.5-27
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    • 2017
  • 이 연구는 공공도서관 생태계의 담론화를 통한 개선 확장 전략을 제시하는데 목적이 있다. 이를 위하여 자연생태계의 순환원리와 구성요소에 근거하여 공공도서관 생태계의 기본원리와 구조적 지형을 해명하고 현주소와 인식을 분석하였다. 이를 바탕으로 다양한 관점과 시각을 차용한 전략적 방안(카르마 법칙을 적용한 도서관의 정체성 및 공공성 보장, 미네르바 신드롬을 극복하기 위한 사서직의 주체성 및 전문성 강화, 파레토 원리를 응용한 자료서비스 및 장서관리의 최적화, 부정적 후광효과를 해소하기 위한 일반열람실 축소와 비교우위 프로그램서비스 제공, 가우스 분포를 준수한 생애주기별 이용편차 해소, 이카루스 역설을 반추한 디지털 패러다임 수용과 이용친화형 공간화, 그레샴 법칙의 경계를 위한 작은도서관의 공공도서관 시스템화, 그리고 폼페이 역설을 반면교사로 삼은 소통강화와 사회문화적 가치 확산 등)을 제안하였다.

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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    • 제66권5호
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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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    • 제39권1호
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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.

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

  • 임기원;정성수
    • 대한기계학회논문집B
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    • 제40권9호
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    • pp.613-620
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    • 2016
  • 유체의 전도율(conductivity)이 전자기유량계의 특성에 미치는 영향을 평가하기 위해 소형 전자기 유량계를 설계 제작하였다. 유량계의 측정관(measuring tube)은 $4mm{\times}3mm$의 직사각형 단면을 가지며 길이는 9 mm이다. 전극은 직경이 1.5 mm인 점전극과 단면이 $2mm{\times}3mm$인 면전극으로 설계하였다. 코일의 열 발생에 영향을 미치는 자화주파수, 회전수 및 굵기를 변화시키면서 최적값을 찾았다. 최적화된 측정관은 자속밀도(magnetic flux density) 0.04 T (400 gauss)를 발생시키며 안정되고, 선형적인 유량신호를 얻을 수 있었다. 유량계를 특성을 평가하기 위해 중량식 유량계 교정 장치를 제작하였다. 유동율 범위는 최대 $1.17{\times}10^{-5}m^3/s$(700 cc/min)이며 ISO규격에 따라 유동량 결정의 불확도를 평가하였으며 크기는 0.06 % 이내이었다. 유체의 전도율은 $3-11{\mu}S/cm$ 사이에서 조절하였다.

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

  • 윤태훈;차영기;김창완
    • 대한토목학회논문집
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    • 제7권1호
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    • pp.11-22
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    • 1987
  • 흐름수역(水域)에서 연직상향으로 방류되는 평면부력(平面浮力)?의 거동이 연속방정식(連續方程式), 운동량방정식(運動量方程式) 및 추적물수송식(追跡物輸送式)의 기본방정식을 수치적(數値的)으로 풀음으로서 해석(解析)된다. 난류확산(亂流擴散)에는 Prandtl의 혼합거리이론(混合距離理論)을 도입한 난류수송모형(亂流輸送模型)이 이용된다. 수치해과정(數値解過程)은 기본방정식을 유함수(流凾數)(stream function)식(式)과 골도수송(滑度輸送)(vorticity transport)식을(式) 이용하여 변환(變換)한 후, ?방류속도(放流速度), ?방류구폭(放流口幅) 등(等)으로 표현되는 변수(變數)와 흐름을 지배(支配)하는 무차원매개변수(無次元媒介變數)를 도입하여 무차원화(無次元化)하고 successive under-relaxation을 이용하여 Gauss-Seidal 반복법(反復法)으로 해를(解) 구(求)하는 것이다. 수치실험(數値實驗)은 방류(放流)Froude수(數)가 4~32, 방류속도(放流速度)와 가로흐름속도와의 비로(比) 정의되는 속도비가 8~15 의 범위의 흐름영역(領域)에서 수행되었다. 부력(浮力)?으로 인한 주변(周邊)흐름수역(水域)의 속도변화(速度變化), 온도상승(溫度上昇)범위, 흐름상태 및 골도(滑度)가 조사되었으며, ?의 경로에 대한 속도비와 방류밀도Froude 수의 영향이 또한 조사되었다. ?중심선의 속도, 온도변화, 국부밀도(局部密度)Froude 수(數)의 변화가 계산되며 퍼짐율(spreading rate)과 확산비(擴散比)(dispersion ratio)가 방류밀도(放流密度)Froude 수, 국부밀도(局部密度)Froude 수(數) 및 속도비(速度比)의 항(項)으로 해석되었다. 또한 속도와 온도분포를 상사(相似)(similarity)로 나타낼 수 있음이 밝혀졌으며, Gaussian 분포(分布)를 이용한 적분형해석(積分型解析)(integral type analysis)이 가능한 것으로 사료된다.

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