• Title/Summary/Keyword: Maxwell Stress Method

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3D Design and Analysis of Cogging Torque in 900kW Permanent Magnet Synchronous Generator (900kW급 영구자석형 동기발전기 3차원 설계 및 코깅 토크 분석)

  • Lee, Sang-Woo;Kim, Tae-Hoon;Kim, Dong-Eon;Chung, Chin-Wha;Park, H.C.
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.443-443
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    • 2009
  • Cogging Torque is induced by the magnetic attraction between the rotor mounted permanent magnet(PM) and the stator teeth. This torque is an unwanted effect causing shaft vibration, noises, metal fatigues and increased stator length. A variety of techniques exist to reduce the cogging torque of PM generator. Even though the cogging torque can be vanished by skewing the stator slots by one slot pitch or rotor magnets, manufacturing cost becomes high due to the complicated structure and increased material costs. This paper introduces a new cogging torque reduction technique for PM generators that adjusts the azimuthal positions of the magnets along the circumference. A 900 kW class PMSG model is simulated using a three dimensional finite element method and the resulting cogging torques is analyzed using the Maxwell tensor stress tensor. Using the 3D simulation, the end contribution of the cogging torque is accurately calculated.

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Distortion of Magnetic Field and Magnetic Force of a Brushless DC Motor due to Deformed Rubber Magnet (BLDC 모터의 고무 자석 형상 변형으로 인한 자계 변형 및 불평형 자기력 해석)

  • Lee, Chang-Jin;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.834-839
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    • 2007
  • This paper investigates the distortion of magnetic field of a brushless DC (BLDC) motor due to deformed rubber magnet. Global or local deformation of rubber magnet in the BLDC motor is mathematically modeled by using the Fourier series. Distorted magnetic field is calculated by using the finite element method, and unbalanced magnetic force are calculated by using the Maxwell stress tensor. The first harmonic deformation in the global deformation of rubber magnet generates the first harmonic driving frequency of the unbalanced magnetic force, and the rest harmonic deformations of rubber magnet except the harmonic deformation with multiple of common divisor of pole and slot introduces the driving frequencies with multiple of slot number ${\pm}1$ to the unbalanced magnetic force. However, the harmonic deformation with multiple of common divisor of pole and slot does not generate unbalanced magnetic force due to the rotational symmetry. When the rubber magnet is locally deformed, the unbalanced magnetic force has the first harmonic driving frequency and the driving frequencies with multiples of slot number ${\pm}1$.

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Analytical solution for buckling analysis of micro sandwich hollow circular plate

  • Mousavi, Mohammad;Mohammadimehr, Mehdi;Rostami, Rasoul
    • Computers and Concrete
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    • v.24 no.3
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    • pp.185-192
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    • 2019
  • In this paper, the buckling of micro sandwich hollow circular plate is investigated with the consideration of the porous core and piezoelectric layer reinforced by functionally graded (FG)carbon nano-tube. For modeling the displacement field of sandwich hollow circular plate, the high-order shear deformation theory (HSDT) of plate and modified couple stress theory (MCST) are used. The governing differential equations of the system can be derived using the principle of minimum potential energy and Maxwell's equation that for solving these equations, the Ritz method is employed. The results of this research indicate the influence of various parameters such as porous coefficients, small length scale parameter, distribution of carbon nano-tube in piezoelectric layers and temperature on critical buckling load. The purpose of this research is to show the effect of physical parameters on the critical buckling load of micro sandwich plate and then optimize these parameters to design structures with the best efficiency. The results of this research can be used for optimization of micro-structures and manufacturing different structure in aircraft and aerospace.

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.

The behavior of collagen-like molecules in response to different temperature setting methods in steered molecular dynamic simulation (다른 온도 조절 상태에서 분자 동역학에서 콜라겐 단백질의 거동)

  • Yoon, Young-June;Cho, Kang-Hee;Han, Seog-Young
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.13 no.5
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    • pp.397-402
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    • 2020
  • Collagen type I is the most abundant protein in the human body. It shows viscoelastic behavior, which is what confers tendons with their viscoelastic properties. There are two different temperature setting methods in molecular dynamics simulations, namely rescaling and reassignment. The rescaling method maintains the temperature by scaling the given temperature, while the reassignment method sets the temperature according to a Maxwell distribution at the target temperature. We observed time-dependent behavior when the reassignment method was applied in tensile simulation, but not when the rescaling method was applied. Time-dependent behavior was observed only when the reassignment method was applied or when one side of the collagen molecule was stretched to a greater extent than the other side. As result, the collagen is elongated to 80nm, 100nm, 130nm, and 180nm, respectively, when the collagen is pulled by different velocities, 0.5, 1, 2, and 5 Å/ps, up to 40 Å. The results do not provide a detailed physical explanation, but the phenomena illustrated in this result are important for caution when further simulations are performed.

Direct Simulation of the Magnetic Interaction of Elliptic Janus Particles Suspended in a Viscous Fluid (점성유체에 분산된 타원형 야누스 입자의 자성 상호작용에 관한 직접수치해석)

  • Kim, Hei Eun;Kang, Tae Gon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.7
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    • pp.455-462
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    • 2017
  • The magnetic interaction between elliptic Janus magnetic particles are investigated using a direct simulation method. Each particle is a one-to-one mixture of paramagnetic and nonmagnetic materials. The fluid is assumed to be incompressible Newtonian and nonmagnetic. A uniform magnetic field is applied externally in a horizontal direction. A finite-element-based fictitious domain method is employed to solve the magnetic particulate flow in the creeping flow regime. In the magnetic problem, the magnetic field in the entire domain, including the particles and the fluid, is obtained by solving the governing equation for the magnetic potential. Then, the magnetic forces acting on the particles are calculated via a Maxwell stress tensor formulation. In a single particle problem, it is found that the orientation angle at equilibrium is affected by the aspect ratio of the particle. As for the two-particle interaction, the dynamics and the final conformation of the particles are significantly influenced by the aspect ratio, the orientation, and the spatial positions of the particles. For the given positions of the particles, the fluid flow is also influenced by the orientation of each particle. The self-assembly structure of the particles is not a fixed one, but it varies with the above-mentioned factors.

Analytical Solution of Magnetic Field in Permanent-Magnet Eddy-Current Couplings by Considering the Effects of Slots and Iron-Core Protrusions

  • Dai, Xin;Liang, Qinghua;Ren, Chao;Cao, Jiayong;Mo, Jinqiu;Wang, Shigang
    • Journal of Magnetics
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    • v.20 no.3
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    • pp.273-283
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    • 2015
  • In this study, we propose an analytical model for studying magnetic fields in radial-flux permanent-magnet eddy-current couplings by considering the effects of slots and iron-core protrusions on the eddy currents. We focus on the analytical prediction of the air-gap field by considering the influence of eddy currents induced in conducting bars. In the proposed model, the permanent magnet region is treated as the source of a time-varying magnetic field and the moving-conductor eddy current problem is solved based on the resolution of time-harmonic Helmholtz equations. The spatial harmonics in the air gap and in slots, as well as the time harmonics are all considered in the analytical calculation. Based on the proposed field model, the electromagnetic torque is computed by using the Maxwell stress tensor method. Nonlinear finite element analysis is performed to validate the analytical model. The proposed model can be used for permanent-magnet eddy-current couplings with any slot-pole combination.

Measurement of Viscoelastic Properties of Heat Denatured Gluten Network (열변성 글루텐의 점탄성 측정에 관한 연구)

  • Hong, Sung-Hie;Lee, Cherl-Ho
    • Korean Journal of Food Science and Technology
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    • v.20 no.2
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    • pp.148-156
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    • 1988
  • A method for the measurement of viscoelastic properties of heat denatured gluten network was developed in order to evaluate the noodle making quality of wheat flour. The stress relaxation of elongated heat denatured gluten network could be expressed by 6-element generallized Maxwell model. The tensile force of heat denatured gluten network increased by the heating time. The elastcity and viscosity of the first exponential term which covers 70-74% of the total relaxation increased as cooking time was extended up to 1q min. The addition of gluten network strengthening agent, potassium bromate, at 1000ppm level reduced the elasticity and viscosity, while weakening agent, L-cystein, increased them. The relaxation time decreased after 11 min of cooking in both cases. The elasticity and viscosity of heat denatured gluten were affected differently by the concentration of added urea.

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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.