• Title/Summary/Keyword: Maxwell Equations

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Dynamic stability and structural improvement of vibrating electrically curved composite screen subjected to spherical impactor: Finite element and analytical methods

  • Xiao, Caiyuan;Zhang, Guiju
    • Steel and Composite Structures
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    • v.43 no.5
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    • pp.533-552
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    • 2022
  • The current article deals with the dynamic stability, and structural improvement of vibrating electrically curved screen on the viscoelastic substrate. By considering optimum value for radius curvature of the electrically curved screen, the structure improvement of the system occurs. For modeling the electrically system, the Maxwell's' equation is developed. Hertz contact model in employed to obtain contact forces between impactor and structure. Moreover, variational methods and nonlinear von Kármán model are used to derive boundary conditions (BCs) and nonlinear governing equations of the vibrating electrically curved screen. Galerkin and Multiple scales solution approach are coupled to solve the nonlinear set of governing equations of the vibrating electrically curved screen. Along with the analytical solution, 3D finite element simulation via ABAQUS package is provided with the aid of a FE package for simulating the current system's response. The results are categorized in 3 different sections. First, effects of geometrical and material parameters on the vibrational performance and stability of the curves panel. Second, physical properties of the impactor are taken in to account and their effect on the absorbed energy and velocity profile of the impactor are presented. Finally, effect of the radius and initial velocity on the mode shapes of the current structure is demonstrated.

Computational thermal stability and critical temperature buckling of nanosystem

  • Chengda Zhang;Haifeng Hu;Qiang Ma;Ning Wang
    • Advances in nano research
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    • v.14 no.6
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    • pp.575-590
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    • 2023
  • Many of small-scale devices should be designed to tolerate high temperature changes. In the present study, the states of buckling and stability of nano-scale cylindrical shell structure integrated with piezoelectric layer under various thermal and electrical external loadings are scrutinized. In this regard, a multi-layer composite shell reinforced with graphene nano-platelets (GNP) having different patterns of layer configurations is modeled. An outer layer of piezoelectric material receiving external voltage is also attached to the cylindrical shell for the aim of observing the effects of voltage on the thermal buckling condition. The cylindrical shell is mathematically modeled with first-order shear deformation theory (FSDT). Linear elasticity relationship with constant thermal expansion coefficient is used to extract the relationship between stress and strain components. Moreover, minimum virtual work, including the work of the piezoelectric layer, is engaged to derive equations of motion. The derived equations are solved using numerical method to find out the effects of temperature and external voltage on the buckling stability of the shell structure. It is revealed that the boundary condition, external voltage and geometrical parameter of the shell structure have notable effects on the temperature rise required for initiating instability in the cylindrical shell structure.

Modal Characteristics of Photonic Crystal Fibers

  • Lee, Yong-Jae;Song, Dae-Sung;Kim, Se-Heon;Huh, Jun;Lee, Yong-Hee
    • Journal of the Optical Society of Korea
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    • v.7 no.3
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    • pp.188-192
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    • 2003
  • The modal characteristics of the photonic crystal fibers are analyzed using the reliable and efficient plane wave expansion method. The mode profile, effective index and group velocity dispersion are obtained by solving Maxwell's vector wave equations without any approximation. The zero dispersion condition of a photonic crystal fiber is derived over a wide range of wavelengths. Higher-order modes are also easily found as a by-product of the plane wave expansion method. This method can be used to quickly and accurately design various optical properties of photonic crystal fibers.

Nonlinear Dynamics of Orthogonally Polarized Dual-mode Solid-state lasers (서로 수직으로 편광된 이중 모드 고체레이저에 대한 동력학)

  • Park, Jong-Dae;Cho, Chang-Ho
    • The Journal of Natural Sciences
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    • v.17 no.1
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    • pp.39-50
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    • 2006
  • There are two relaxation frequencies in orthogonally polarized dual-mode solid-state lasers. Complex dynamic behaviors such as chaos can be observed by modulating orthogonally polarized dual-mode solid-state lasers. In this paper, we derived Maxwell-Bloch equations by considering anisotropy explicitly in laser-atom interactions and explained the complex nonlinear dynamical behaviors.

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Electromagnetic Analysis on the Torque Motor of Servo Valve for the Fuel Supply System of Auxiliary Power Unit (보조 동력 장치 연료 공급용 서보밸브의 토크모터 전자기 해석)

  • Chang, Se-Myong;Jang, Gang-Won;Jeong, Heon-Sul;Rhee, Dong-Ho
    • Journal of Aerospace System Engineering
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    • v.1 no.3
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    • pp.7-12
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    • 2007
  • As a main part of an utility helicopter, the APU(Auxiliary Power Unit) has a solenoid valve system operated with a torque motor, which controls the flow rate in the fuel supply system. In this paper, we solved the Maxwell potential equations to analyze the electromagnetic force in the torque motor, and some additional analytic methods are used to compute the quantity of torque produced by the torque motor for the given circuit current. For the convenience, small displacement is assumed, and only magneto-static problem is considered for the two-dimensional cross section. The result will be compared with the three-dimensional analysis that will be studied in the near future.

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Analysis of cross slotted waveguide antenna using Spatial Network Method (공간회로망법을 이용한 크로스 슬롯 도파관 안테나 해석)

  • Park, Kyoung-Su;Choi, Sung-Youl;Kim, Jin;Lee, Hee-Bock;Ko, Young-Ho
    • Proceedings of the IEEK Conference
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    • 2000.11a
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    • pp.493-496
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    • 2000
  • This paper presents a slotted leaky waveguide antenna using a rectangular waveguide for mobile reception of DBS (Direct Broadcasting Satellite). A slotted rectangular waveguide in leaky-wave operation can obtain a large beam-tilting angle of 45$^{\circ}$, which is an attractive candidate of mobile DBS receiving antennas because it can be installed horizontally. SNM is used to solve arbitrary shape and materials constant, derived from maxwell's equations. In this paper, analyze cross slot waveguide antenna using SNM. and verify by HFSS.

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A Study on the Turbulent Flow and Solidification in a Continuous Casting Process with Electromagnetic Brake (EMBR을 이용한 연주공정에서의 난류유동 및 응고에 대한 연구)

  • Kim, Deok-Soo;Kim, Woo-Seung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.3
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    • pp.374-387
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    • 1999
  • Two-dimensional turbulent fluid flow and solidification were investigated in a continuous casting process of a steel slab with electromagnetic field. The electromagnetic field was described by the Maxwell equations. The enthalpy-porosity relation was employed to suppress the velocity within a mushy region. A revised low-Reynolds number $k-{\varepsilon}$ turbulence model was used to consider the turbulent effects. It is shown that the temperature gradient in the casting direction in the case with EMBR becomes very weak compared to that of the case without EMBR. The results also show that the velocity profiles of the case with solidification are quite different from those of the case without solidification.

The Computer Simulation of Hysteresis Losses by Aapplied fields, Currents and Phasor differences in Superconducting Slap (초전도 슬랩내에서 인가자장, 전류 및 위상차로 인한 히스테리시스 손실의 컴퓨터 Simulation)

  • Kim, Gweon-Jib;Ko, Tae-Kuk
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.122-125
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    • 1991
  • This paper deals with hysteresis losses on the superconducting slap by using type II superconducting theory and classical maxwell equations. Transport current is transmitted to the longitudual direction and applied magnetic field is perpendicular to the slap length and simultaneously parallel to the plat. And the sinusoidal transport currents and the magnetic fields are applied to the slap. Properties of hysteresis loss can be understood, using computer simulation with apply field, transport current and phasor difference. From this result the efficiency and the stability of superconducting system can be enhanced.

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Mathematical Models of Environmental Problems on the Electromagnetic Interference for Wind Turbines (풍력 터빈에 의한 전자기 간섭 환경 문제의 수학적 모델링)

  • Chang, Se-Myong
    • Journal of Environmental Science International
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    • v.18 no.8
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    • pp.911-918
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    • 2009
  • Electromagnetic interference (EMI) is defined as the interaction phenomena of electromagnetic waves scattered from a large structure or complex terrain. In this study, the propagation of linear wave is modeled with ray theory, direct simulation Monte Carlo (DSMC), and some classical theories on flat plates. The wave physics of reflection, refraction, and diffraction are simulated for the investigation of front and back scattering of the one-dimensional plane wave from a tower with ray theory and DSMC, respectively. The effect of rotating disk idealized from the real wind-turbine blades is modeled with a simplified version of the classical electromagnetic theory as well as DSMC based on the ray theory.

Three-Dimensional Borehole Radar Modeling (3차원 시추공 레이다 모델링)

  • 예병주
    • Economic and Environmental Geology
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    • v.33 no.1
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    • pp.41-50
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    • 2000
  • Geo-radar survey which has the advantage of high-resolution and relatively fast survey has been widely used for engineering and environmental problems. Three-dimensional effects have to be considered in the interpretation of geo-radar for high-resolution. However, there exists a trouble on the analysis of the three dimensional effects. To solve this problem an efficient three dimension numerical modeling algorithm is needed. Numerical radar modeling in three dimensional case requires large memory and long calculating time. In this paper, a finite difference method time domain solution to Maxwell's equations for simulating electromagnetic wave propagation in three dimensional media was developed to make economic algorithm which requires smaller memory and shorter calculating time. And in using boundary condition Liao absorption boundary. The numerical result of cross-hole radar survey for tunnel is compared with real data. The two results are well matched. To prove application to three dimensional analysis, the results with variation of tunnel's incident angle to survey cross-section and the result when the tunnel is parallel to the cross-section were examined. This algorithm is useful in various geo-radar survey and can give basic data to develop dat processing and inversion program.

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