• Title/Summary/Keyword: Maxwell 응력텐서

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Maxwell Stress Tensor I. It's Meaning and Inherent Limits (맥스웰 응력텐서 I. 그 의미와 한계에 대하여)

  • Choi, Hong-Soon;Park, Il-Han;Moon, Won-Kyu
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.610-611
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    • 2008
  • 맥스웰 응력텐서는 전기기기의 전자기력을 해석함에 현재 가장 널리 사용되는 방법 중 하나이다. 본 논문에서는, 맥스웰 응력텐서 자체는 물리적인 의미가 없는 가상적인 응력텐서이며, 고체역학 또는 동역학적인 해석을 위해 이를 물리적인 기계력으로 취하면 안 된다는 것을 보이고자 한다. 물리적 의미를 부여할 수 있는 것은 응력텐서의 발산인 ${\nabla}{\cdot}T$ 이며 이는 전자기 체적력을 의미하고, 중력과 같은 원격 힘이다. 맥스웰 응력텐서의 유도과정을 에너지적인 접근에서 관찰하여 그 과정으로부터 본 결론을 유도 할 수 있음을 보인다. 본 논문은 두 개로 구성되는 데, 본 논문인 I에는 유효성의 한계에 대한 논의, 별도의 연작논문인 II에서는 대안으로서 가상공극을 사용한 체적력 계산법을 제시한다.

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Maxwell Stress Tensor II. It's Divergence Calculation based on Virtual Air-gap Scheme (맥스웰 응력텐서 II. 대안 : 가상공극법에 의한 응력텐서의 발산값 구하기)

  • Choi, Hong-Soon;Park, Il-Han;Lee, Se-Hee
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.612-613
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    • 2008
  • 맥스웰 응력텐서T와 맥스웰 응력 n.T는 물리적인 의미가 없는 가상적인 양이라는 것을 논문 I에서 논하였다. 본 논문 II 에서는 물리적 실체를 가지는 맥스웰 응력텐서의 발산양인 ${\nabla}{\cdot}T$의 계산을 위하여 가상공극을 도입하고, 그 것의 계산법에 대하여 제시한다. 가상공극법은 기존의 여러 전자기력 계산법의 상위개념으로 적용할 수 있는 접근법으로서 매체간에 접촉시에 전자기력 계산을 위하여 개발이 된 것이다. 이 방법을 각 유한요소에 적용함으로서 체적력밀도를 구할 수 있음을 보인다.

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Direct-current Dielectrophoretic Motions of a Single Particle due to Interactions with a Nearby Nonconducting Wall (비전도성 벽과의 상호작용에 따른 단일 입자의 직류 유전영동 운동)

  • Kang, Sangmo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.5
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    • pp.425-433
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    • 2015
  • In this paper, we have numerically investigated two-dimensional dielectrophoretic (DEP) motions of a single particle suspended freely in a viscous fluid, interacting with a nearby nonconducting planar wall, under an externally applied uniform direct-current electric field. Particularly, we solve the Maxwell equation with a large sharp jump in the electric conductivity at the particle-fluid interface and then integrate the Maxwell stress tensor to compute the DEP force on the particle. Results show that, under an electric field parallel to the wall, one particle is always repelled to move far away from the wall and the motion depends strongly on the particle-wall spacing and the particle conductivity. The motion strength vanishes when the particle is as conductive as the fluid and increases as the conductivity deviates further from that of the fluid.

On the Physical Meaning of Maxwell Stress Tensor (맥스웰 응력텐서의 물리적 의미의 고찰)

  • Choi, Hong-Soon;Park, Il-Han;Moon, Won-Kyu
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.4
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    • pp.725-734
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    • 2009
  • Maxwell stress tensor is one of the methods which are generally used for electromagnetic force calculation. In this paper, it is presented that Maxwell stress tensor T and n${\cdot}$T have no physical meaning and therefore should not be used as sources of mechanical force for deformations or dynamics. The divergence of Maxwell stress tensor ${\nabla}{\cdot}T$ is the one which can acquire a physical identity and is electromagnetic body force density by an action at a distance like a gravity. This result can be derived from the principle of power balance, and also verified by some thought experiments. The virtual air-gap approach is proposed as a valid solution for the calculation of the body force.

Analytical Analysis of Cogging Torque in Motors of Permanent MagneticType (영구자석을 사용한 모터의 코깅토크에 관한 이론적 해석)

  • Go, Hong-Seok;Kim, Gwang-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1795-1800
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    • 2000
  • One of the principal sources of vibration and noise in permanent magnetic machines is cogging torque, which is induced by interaction between the rotor poles and the stator teeth. For its analysis, using finite element analysis is very time consuming and the calculation of performance factors is extremely sensitive to the discretization. Especially, Maxwell stress tensor method is sensitive to the location of integral path. In this paper, a cogging permeance fuction is defined and replaced by the straight line. And it is assumed that the flux density acting on the stator's tooth side is the euqal to the flux density of the slot area. Using this definition and assumption, analytical calculation of cogging torque is presented and validated. And several reduction method is introduced.

A Study on the Driving Principles of a Novel Non-contact Surface Actuator Using Combination of Magnetic Force (비접촉 평면 구동기의 자기력 조합 방식 구동 원리)

  • Jung, Kwang-Suk;Baek, Yoon-Su
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.115-121
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    • 2001
  • In micro automation technology, the concurrent realization of a high resolution and a large operating rage has been achieved by a dual actuator, usually called by piggy-back system, conventionally. But, because of its manufacturing cost, the complexity of control, and the limit of overall bandwidth, the contract-free and single servo actuators have been suggested with specific applications. In this paper, we suggest a novel non-contact surface actuator suing combination of the Lorentz force and the magnetized force, and discuss the actuating principles including an analytical approach. Differently from the existing planar system, an operating range of the suggested system can be expanded by an additional attachment of active elements. Therefore, it is estimated to be suitable for the next-generation moving system.

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Direct-Current Dielectrophoretic Motions of a Pair of Particles due to Interactions with a Nearby Nonconducting Wall (비전도성 벽과의 상호작용에 따른 한 쌍 입자의 직류 유전영동 운동)

  • Kang, Sangmo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.10
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    • pp.805-815
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    • 2015
  • The present study numerically investigated two-dimensional dielectrophoretic motions of a pair of particles suspended freely in a viscous fluid, interacting with a nearby nonconducting planar wall, under an external uniform electric field. The results show that the motions depend strongly on the set of two electric conductivity signs and the particles-wall separation gap. When both particles have the same sign, they revolve and finally align parallel to the electric field. In contrast, with different signs, they revolve in the opposite direction and finally align perpendicular to the field. Simultaneously, they are repelled to move farther away from the wall regardless of their conductivity set. With further separation from the wall, the particles-wall interaction effect diminishes and tthe particle-particle effect dominates.

Isogeometric Analysis of Electrostatic Adhesive Forces in Two-Dimensional Curved Electrodes (2차원 곡면형 전극에서 정전기 흡착력의 아이소-지오메트릭 해석)

  • Oh, Myung-Hoon;Kim, Jae-Hyun;Kim, Hyun-Seok;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.4
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    • pp.199-204
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    • 2021
  • In this study, an isogoemetric analysis (IGA) method that uses NURBS (Non-Uniform Rational B-Spline) basis functions in computer-aided design (CAD) systems is employed to account for the geometric exactness of curved electrodes constituting an electro-adhesive pad in electrostatic problems. The IGA is advantageous for obtaining precise normal vectors when computing the electro-adhesive forces on curved surfaces. By performing parametric studies using numerical examples, we demonstrate the superior performance of the curved electrodes, which is attributed to the increase in the normal component of the electro-adhesive forces. In addition, concave curved electrodes exhibit better performance than their convex counterparts.