• 제목/요약/키워드: maxwell stress tensor

검색결과 61건 처리시간 0.024초

자기벡터포텐셜을 이용한 3차원 전자력 계산 (Electromagnetic Force Calculation Using Magnetic Vector Potentials in 3-D Problems)

  • 양재진;이복용;이기식
    • 한국자기학회지
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    • 제6권2호
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    • pp.106-111
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    • 1996
  • 전동기와 같이 가동부를 갖는 전기기기는 힘이나 토크를 발생시키기 위하여 고안되었고, 힘이나 토크는 이들 기기의 해석과 설계에 중요한 요소이다. 지금까지 유한요소법을 이용한 전자력 계산 방법으로는 여러가지 방법들이 제시되어 왔고, 그 중 널리 사용되는 방법으로는 맥스웰 응력법과 가상변위법이 있다. 맥스웰 응력법은 맥스웰 스트레스텐서를 이용하여 표면 전자력 밀도를 구하고 이의 표면 적분으로 전자력을 구하는 방법이고, 가상변위법은 물체에 변위가 일어났을 때 발생하는 에너지의 변화량을 이용하여 전자력을 구하는 방법이다. 전류원이 포함된 문제에서는 정확도를 높이기 위하여 벡터포텐셜을 주로 이용하여 자장해석을 하여 왔으므로 본 논문에서는 유한요소법으로 3차원 자장 문제를 해석한 결과인 자기벡터포텐셜을 맥스웰 응력법과 가상변위법에 적용하여 전기기계의 각 요소의 전자력을 구하는 방법을 제시한다. 제시한 방법의 검증을 위하여 해석 모델을 솔레노이드로 하여 제시한 방법으로 구한 전자력을 3차원으로 해석한 결과와 비교하여 그 유용성을 증명한다.

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Analysis of Coaxial Magnetic Gear with Low Gear Ratios for Application in Counter Rotating Systems

  • Shin, H.M.;Chang, J.H.
    • Journal of Magnetics
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    • 제20권2호
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    • pp.186-192
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    • 2015
  • This paper describes the electromagnetic and mechanical characteristics of coaxial magnetic gear (CMG) with a low gear ratio. The analysis models are restricted to a CMG with a gear ratio of less than 2. The electromagnetic characteristics including transmitted torque and iron losses are presented according to the variation of the gear ratio. The pole pairs of high speed rotor are chosen as 6, 8 and 10 by considering the torque capability. As the gear ratio approaches 1, both iron losses on the ferromagnetic materials and eddy current losses on the rotor permanent magnets are increased. The radial and tangential forces on the modulating pieces are calculated using the Maxwell stress tensor. When the maximum force is exerted on the modulating pieces, the mechanical characteristics including stress and deformation are derived by structural analysis. In CMG models with a low gear ratio, the maximum radial force acting on modulating pieces is larger than that in CMG models with a high gear ratio, and the normal stress and normal deformation are increased in a CMG with a low gear ratio. Therefore, modulating pieces should be designed to withstand larger radial forces in CMG with a low gear ratio compared to CMG with a high gear ratio.

FDTD 방법을 이용한 광집게의 포획 힘 계산 (Calculations of the Trapping Force of Optical Tweezers using FDTD Method)

  • 성승용;이용구
    • 한국광학회지
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    • 제19권1호
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    • pp.80-83
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    • 2008
  • 광집게는 매질보다 큰 굴절률을 가지는 마이크로 크기의 구형 유전체를 강하게 집속되는 레이저를 이용해서 포획하고 움직이는 도구이다. 본 논문에서는 FDTD 방법을 이용해서 포획 힘을 계산하고, 그 방법을 설명하였다. 강하게 집속되는 레이저는 nonparaxial Gaussian beam을 이용해서 표현하였으며, 레이저가 대상물체와 매질에서 진행하는 것은 FDTD 방법을 이용해서 시뮬레이션 하였다. 레이저를 계산공간 전체에서 해석적으로 표현하기 위해서 scattered field formulation을 이용하였다. FDTD 방법을 이용해서 대상물체의 안팎의 전자기장을 시뮬레이션하고, 그 결과를 이용해서 Maxwell's stress tensor에 기반하여 포획 힘을 계산하였다.

비틀림 상오작용 상태에 있는 터어보 발전기의 전기적 특성 (enerator During the State of Torsional Interaction)

  • Lee, Eun-Ung
    • 대한전기학회논문지
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    • 제37권1호
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    • pp.10-17
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    • 1988
  • The torsional resonance of the generator shaft system has the possibility of inducing voltages across the stator winding because it is a carrier with the field excitation. And these torsional induced stator currents inducs the eddy current in the rotor. This paper describes the eddy current based on the double Fourier series method. The forces generating during the torsional interaction are computed using the Maxwell's magnetic stress tensor for each of the Fouriercomponennts. And then, these forces of the Fourier components are evaluated by the Parseval's theorem.

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정자력 계산을 위한 적응 유한 요소법 (An Adaptive Finite Element Method for Magnetostatic Force Computations)

  • 박용규;박일한;정형석;정현교;이기식;한송엽
    • 대한전기학회논문지
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    • 제38권2호
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    • pp.100-105
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    • 1989
  • This paper presents an adaptive finite element method for magnetostatic force computation using Maxwell's stress tensor. Mesh refinements are performed automatically by interelement magnetic field intensity discontinuity errors and element force errors. In initial mesh, the computed forces for different integration paths give great differences, but converge to a certain value as mesh division is performed by the adaptive scheme, We obtained good agreement between analytic solutions and numerical values in typical examples.

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생체모방종이작동기(Electro-Active Paper)의 전기기계적인 구동 시뮬레이션 (Electromechanical Simulation of Cellulose Based Biomimetic Electro-Active Paper)

  • 장상동;김흥수;김재환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.73-76
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    • 2007
  • Electro-Active paper (EAPap) is a new smart material that has a potential to be used in biomimetic actuator and sensor. It is made by cellulose that is abundant material in nature. EAPap is fascinating with its biodegradability, lightweight, large displacement, high mechanical strength and low actuation voltage. Actuating mechanism of EAPap is known to be the combined effects of ion migration and piezoelectricity. However, the electromechanical actuation mechanisms are not yet to be established. This paper presents the modeling of the actuation behavior of water infused cellulose samples and their composite dielectric constants calculated by Maxwell-Wagner theory. Electro-mechanical forces were calculated using Maxwell stress tensor method. Bending deflection was evaluated from simple beam model and compared with experimental observation, which result good correlation with each other.

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생체모방 종이작동기(electro-active paper)의 전기기계적인 구동 시뮬레이션 (Electromechanical Simulation of Cellulose Based Biomimetic Electro-Active Paper)

  • 장상동;김재환;김흥수
    • 한국소음진동공학회논문집
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    • 제17권12호
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    • pp.1179-1183
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    • 2007
  • Electro-Active paper(EAPap) is a new smart material that has a potential to be used in biomimetic actuator and sensor. It is made by cellulose that is abundant material in nature. EAPap is fascinating with its biodegradability, lightweight, large displacement, high mechanical strength and low actuation voltage. Actuating mechanism of EAPap is known to be the combined effects of ion migration and piezoelectricity. However, the electromechanical actuation mechanisms are not yet to be established. This paper presents the modeling of the actuation behavior of water infused cellulose samples and their composite dielectric constants calculated by Maxwell-Wagner theory. Electro-mechanical forces were calculated using Maxwell stress tensor method. Bending deflection was evaluated from simple beam model and compared with experimental observation, and which result in good correlation with each other.

PWM에 의한 속도 제어와 유연 구조를 고려한 컴퓨터 하드디스크 드라이브용 스핀들 모터의 기전 연성 유한 요소 해석 (Finite Element Analysis of Electromechanical Field of a Spindle Motor in a Computer Hard Disk Drive Considering Speed Control Using PWM and Mechanical Flexibility)

  • 장정환;장건희
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제51권9호
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    • pp.499-508
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    • 2002
  • This paper presents a finite element analysis of the electromechanical field in the spindle motor of a computer hard disk drive considering the speed control and mechanical flexibility. The driving circuit equation is modified by considering the switching action of PWM inverter, and is coupled with the Maxwell equation to obtain the nonlinear time-stepping finite element equation for the analysis of magnetic field. Magnetic force and torque are calculated by the Maxwell stress tensor. Mechanical motion of a rotor is determined by a time-stopping finite element method considering the flexibility of shaft, rotor and bearing. Both magnetic and mechanical finite element equations are combined in the closed loop to control the speed using PWM. Simulation results are verified by the experiments, and they are in food agreement with the experimental results.

Easy function for solving linear elasticity problems

  • Rezaiee-Pajand, Mohammad;Karimipour, Arash
    • Structural Engineering and Mechanics
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    • 제81권3호
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    • pp.335-348
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    • 2022
  • It is well known that after finding the displacement in the structural mechanics, strain and stress can be obtained in the straight-forward process. The main purpose of this paper is to unify the displacement functions for solving the solid body. By performing mathematical operations, three sets of these key relationships are found in this paper. All of them are written in the Cartesian Coordinates and in terms of a simple function. Both analytical and numerical approaches are utilized to validate the correctness of the presented formulations. Since all required conditions for the bodies with self-equilibrated loadings are satisfied accurately, the authors' relations can solve these kinds of problems. This fact is studied in-depth by solving some numerical examples. It is found that a very simple function can be used for each formulation instead of ten different and complex displacement potentials defined by previous studies.

전단유동에서 자성사슬의 거동에 대한 직접수치해석 (DIRECT NUMERICAL SIMULATION OF MAGNETIC CHAINS IN SIMPLE SHEAR FLOW)

  • 강태곤
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.88-92
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    • 2009
  • When exposed to uniform magnetic fields externally applied, paramagnetic particles acquire dipole moments and the induced moments interacting with each other lead to the formation of chainlike structures or clusters of particles aligned with the field direction. A direct simulation method, based on the Maxwell stress tensor and a fictitious domain method, is applied to solve flows with magnetic chains in simple shear flow. We assumed that the particles constituting the chains are paramagnetic, and inertia of both flow and magnetic particles is negligible. The numerical scheme enables us to take into account both hydrodynamic and magnetic interactions between particles in a fully coupled manner, enabling us to numerically visualize breakup and reformation of the chains by the combined effect of the external field and the shear flow. Simple shear flow with suspended magnetic chains is solved in a periodic domain for a given magnetic field. Dynamics of interacting magnetic chains is found to be significantly affected by a dimensionless parameter called the Mason number, the ratio of the viscous force to the magnetic force in the shear flow. The effect of particle area fraction on the chain dynamics is investigated as well.

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