• Title/Summary/Keyword: Maxwell equations

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Electric potential redistribution due to time-dependent creep in thick-walled FGPM cylinder based on Mendelson method of successive approximation

  • Kheirkhah, S.;Loghman, A.
    • Structural Engineering and Mechanics
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    • v.53 no.6
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    • pp.1167-1182
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    • 2015
  • In this study, the stresses and electric potential redistributions of a cylinder made from functionally graded piezoelectric material (FGPM) are investigated. All the mechanical, thermal and piezoelectric properties are modeled as power-law distribution of volume fraction. Using the coupled electro-thermo-mechanical relations, strain-displacement relations, Maxwell and equilibrium equations are obtained including the time dependent creep strains. Creep strains are time, temperature and stress dependent, the closed form solution cannot be found for this constitutive differential equation. A semi-analytical method in conjunction with the Mendelson method of successive approximation is therefore proposed for this analysis. Similar to the radial stress histories, electric potentials increase with time, because the latter is induced by the former during creep deformation of the cylinder, justifying industrial application of such a material as efficient actuators and sensors.

Parametric Analysis of Tubular-Type Linear Magnetic Couplings with Halbach Array Magnetized Permanent Magnet by Using Analytical Force Calculation

  • Kim, Chang-Woo;Choi, Jang-Young
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.110-114
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    • 2016
  • Magnetic couplings are widely used in various industrial applications because they can transmit magnetic force without any mechanical contact. In addition, linear couplings have many advantages. For example, they do not need to convert rotary motion to linear motion. This paper shows an analytical analysis of tubular type linear magnetic couplings (TLMCs) with a Halbach array magnetized permanent magnet (PM). An analytical method for magnetic fields owing to PMs is performed by using magnetic vector potential as well as Poisson and Laplace equations. Then, the magnetic force is calculated by using the Maxwell stress tensor. The analytical analysis results were compared with finite element method (FEM) results. In addition, we predicted the magnetic force characteristic according to design parameters such as the iron core thickness, inner PM thickness to -outer PM thickness ratio, PM segment ratio of the axial magnetized PM segment and radial magnetized PM segment, and various pole numbers.

New Experimental Investigation of Magnetic and Electric Fields in the Vicinity of High-Voltage Power Lines

  • Ghnimi, Said;Rajhi, Adnen;Gharsallah, Ali
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.102-109
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    • 2016
  • In this paper, the theoretical and experimental characteristics of magnetic and electric fields in the vicinity of high voltage lines are investigated. To realize these measurements and calculations, we have developed some equations for two overhead power line configurations of 150 kV (single circuit, double circuit), based on Biot-savart law, image and Maxwell theories, in order to calculate the magnetic and electric fields. The measurements were done to a maximum distance from the tower of 50 m, at a height of 1m from the ground. These experiments take into consideration the real situations of the power lines and associated equipment. The experimental results obtained are near to that of the Biot-Savart theoretical results for a far distance from the tower; and for a distance close to the power line, the results from the image theory are in good agreement with the experimental results.

IMPLEMENTATION OF VELOCITY SLIP MODELS IN A FINITE ELEMENT NUMERICAL CODE FOR MICROSCALE FLUID SIMULATIONS (속도 슬립모델 적용을 통한 마이크로 유체 시뮬레이션용 FEM 수치 코드 개발)

  • Hoang, A.D.;Myong, R.S.
    • Journal of computational fluids engineering
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    • v.14 no.2
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    • pp.46-51
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    • 2009
  • The slip effect from the molecular interaction between fluid particles and solid surface atoms plays a key role in microscale fluid transport and heat transfer since the relative importance of surface forces increases as the size of the system decreases to the microscale. There exist two models to describe the slip effect: the Maxwell slip model in which the slip correction is made on the basis of the degree of shear stress near the wall surface and the Langmuir slip model based on a theory of adsorption of gases on solids. In this study, as the first step towards developing a general purpose numerical code of the compressible Navier-Stokes equations for computational simulations of microscale fluid flow and heat transfer, two slip models are implemented into a finite element numerical code of a simplified equation. In addition, a pressure-driven gas flow in a microchannel is investigated by the numerical code in order to validate numerical results.

The Wave-Optics Analysis in Thin-Film Optical Waveguide with Faraday Effect (순수 자기광효과가 았는 광도파관의 파동 광학적 해석)

  • 정상구;김상설
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.5
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    • pp.874-879
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    • 1987
  • An exact wave-optics analysis of wave propagation in thin-film optical waveguide using gyrotropic materials as the substrate or film of the guide is presented for the first time. Based on the Maxwell's equations and the boundary conditions of the guide, the field composition and the boundary conditions of the guide, the field composition and the phase velocity for the eigenmodes of the guide are determined. The field patterns of the guided waves are shown for the eigenmodes of the guides. The present analysos allows a new interpretation in the mode conversion of the thin-film optical waveguides.

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Comprehensive piezo-thermo-elastic analysis of a thick hollow spherical shell

  • Arefi, M.;Khoshgoftar, M.J.
    • Smart Structures and Systems
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    • v.14 no.2
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    • pp.225-246
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    • 2014
  • The present paper develops piezo-thermo-elastic analysis of a thick spherical shell for generalized functionally graded piezoelectric material. The assumed structure is loaded under thermal, electrical and mechanical loads. The mechanical, thermal and electrical properties are graded along the radial direction based on a power function with three different non homogenous indexes. Primarily, the non homogenous heat transfer equation is solved by applying the general boundary conditions, individually. Substitution of stress, strain, electrical displacement and material properties in equilibrium and Maxwell equations present two non homogenous differential equation of order two. The main objective of the present study is to improve the relations between mechanical and electrical loads in hollow spherical shells especially for functionally graded piezoelectric materials. The obtained results can evaluate the effect of every non homogenous parameter on the mechanical and electrical components.

Development of Discharge Model and Preventive Diagnosis Program for Discharge Risk Assessment of Charged Human Body (대전인체의 방전위험성 평가를 위한 모델 및 예방진단 프로그램 개발)

  • 김두현;김상철;고은영
    • Journal of the Korean Society of Safety
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    • v.13 no.3
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    • pp.80-87
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    • 1998
  • This paper presents a study on the development of discharge model and computer program for assessing the risk of electrostatic discharge(ESD) of charged human body This ESD event is modelled as a two-body problem using spherical conductors, simulating the approach of a charged conductor (human body) to a second conductor (electronic equipment). The charge/discharge process for the model is formulated as a matrix of equations by Maxwell's method. Body potentials, energies and the charge transfer during a discharge are calculated. The developed program, based on the suggested scheme in this paper, is applied to a sample system. The results provide a better understanding of ESD event and demonstrate the usefulness of two-body model in practical applications.

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A Modified Calculation of Electromagnetic Shielding Effectiveness Considering Some electrical Parameters (발산가응계통에서의 뉴톤-랍슨 전력게통합)

  • Sang-Jin Lee;Myung-Hwan Oh
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.12
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    • pp.173-179
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    • 1982
  • This paper presents a modified quasi-static approximate solution derived from the Maxwell's equations of integral form for the calculation of magnetic shielding effectiveness in a non-uniform enclosure such as metal-clad high-voltage test laboratory. It also describes the simplified relationship between the electrical parameters applicable to the engineering calculations of electromagnetic absorption loss which comprise the resultant effects due to the welding seams and short-circuited slots as well as the shielding material properties. A numerical example shows the fairly good agreements with experimental results measured on the absorption loss vs. incident wave frequency without any unreasonable rapid increase.

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Experimental and Characteristic Analysis of Tubular Type Linear Oscillating Actuator with Halabch Magnetized PMs Mover (Halbach배열 영구자석 가동자로 구성된 Tubular형 직선 왕복 액추에이터의 특성해석 및 실험)

  • Jang, S.M.;Choi, J.Y.;Lee, S.H.;Lee, S.L.
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.756-758
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    • 2003
  • In the machine tool industry, direct drive linear motor technology is of increasing interest as a means to achieve high acceleration, and to increase reliability. This paper deals with the characteristics of tubular type linear oscillating actuator with Halbach magnet array. The magnetic field solutions are derived analytically in terms of vector potential, two dimensional cylindrical coordinate system and Maxwell's equations. Motor thrust, flux linkage, back emf are then derived. The results are shown in good conformity with those obtained from the commonly used finite element method. Test results such as thrust measurements are also given to confirm the analysis.

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Charateristics of defect modes in two-dimensional photonic bandgap structures (2차원 광자 밴드갭 구조의 디펙드 모드 특정)

  • 서영술;정교망
    • Korean Journal of Optics and Photonics
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    • v.11 no.3
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    • pp.198-201
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    • 2000
  • Using the Finite-Difference Time-Domain (FDTD) method that analyzes the Maxwell equations in time domain, we simulated the characteristics of optical wave propagation and defect modes in two-dimensional photonic crystals composed of dielectric cylinders located on triangular, square, and honeycomb lattices. In particular, we investigated the properties of defect modes as the permittvity of the defects is varied. aried.

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