• Title/Summary/Keyword: Radial solutions

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Analysis and Experimental Verification of the Moving-Magnet Linear Actuator with Cylindrical Halbach and Radial Array

  • Jang, Seok-Myeong;Park, Jang-Young;Lee, Sung-Ho;Cho, Han-Wook;Jang, Won-Bum
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.3B no.4
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    • pp.179-187
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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 analyzes and compares the characteristics of the tubular linear actuator with the cylindrical Halbach and radial array, respectively. A tubular linear actuator with cylindrical Halbach array, consisting of parallel magnetized arc segments instead of ideal radial and axial magnetized rings, is manufactured. The magnetic field solutions due to the PMs and to the currents are established analytically in terms of vector potential, using the 2-D cylindrical coordinate system. Motor thrust, flux linkage and back emf are then derived. Thrust characteristics according to such design parameters as magnet height and air gap length are also given. The results are validated extensively by comparison with finite element analysis (FEA). Test results such as thrust measurements are also given to confirm the analysis.

Vertical and torsional soil reactions for radially inhomogeneous soil layer

  • El Naggar, M. Hesham
    • Structural Engineering and Mechanics
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    • v.10 no.4
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    • pp.299-312
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    • 2000
  • The response of an embedded body to dynamic loads is greatly influenced by the reactions of the soil to the motion of the body. The properties of the soil surrounding embedded bodies (e.g., piles) may be different than those of the far-field for a variety of reasons. It may be weakened or strengthened according to the method of installation of piles, or altered due to applying one of the soil strengthening technique (e.g., electrokinetic treatment of soil, El Naggar et al. 1998). In all these cases, the shear strength of the soils and its shear modulus vary gradually in the radial direction, resulting in a radially inhomogeneous soil layer. This paper describes an analysis to compute vertical and torsional dynamic soil reactions of a radially inhomogeneous soil layer with a circular hole. These soil reactions could then be used to model the soil resistance in the analysis of the pile vibration under dynamic loads. The soil layer is considered to have a piecewise, radial variation for the complex shear modulus. The model is developed for soil layers improved using the electrokinetic technique but can be used for other situations where the soil properties vary gradually in the radial direction (strengthened or weakened). The soil reactions (impedance functions) are evaluated over a wide range of parameters and compared with those obtained from other solutions. A parametric study was performed to examine the effect of different soil improvement parameters on vertical and torsional impedance functions of the soil. The effect of the increase in the shear modulus and the width of the improved zone is investigated.

EXISTENCE OF GROP INVARIANT SOULTIONS OF A SEMILINEAR ELLIPTIC EQUATION

  • Kajinkiya, Ryuji
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.763-777
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    • 2000
  • We investigate the existence of group invariant solutions of the Emden-Fowler equation, - u=$\mid$x$\mid$$\sigma$$\mid$u$\mid$p-1u in B, u=0 on B and u(gx)=u(x) in B for g G. Here B is the unit ball in n 2, 1$\sigma$ 0 and G is a closed subgrop of the orthogonal group. A soultion of the problem is called a G in variant solution. We prove that there exists a G invariant non-radial solution if and only if G is not transitive on the unit sphere.

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Flow Analysis of Centrifugal Compressor Using Quasi-Three-Dimensional Analysis (원심압축기의 유동해석을 위한 준삼차원 해석기법)

  • Ahn, S.J.;Kim, K.Y.
    • The KSFM Journal of Fluid Machinery
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    • v.6 no.1 s.18
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    • pp.30-36
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    • 2003
  • This paper presents the analysis of flows through three different types of radial compressor impeller by using quasi-three-dimensional analysis method. The method obtains two-dimensional solution for velocity distribution on meridional plane, and then calculates approximately the static pressure distributions on blade surfaces. Finite difference method is used for the solutions of governing equations. The compressors have low level compression-ratio and 12 straight radial blades with no backsweep. The results are compared with experimental data and the results of three-dimensional inviscid analysis with those by finite element method. It is found that the agreements with experimental data are good for the cases where viscous effects are not dominant.

Filling Holes in Large Polygon Models Using an Implicit Surface Scheme and the Domain Decomposition Method

  • Yoo, Dong-Jin
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.1
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    • pp.3-10
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    • 2007
  • A new approach based on implicit surface interpolation combined with domain decomposition is proposed for filling complex-shaped holes in a large polygon model, A surface was constructed by creating a smooth implicit surface from an incomplete polygon model through which the actual surface would pass. The implicit surface was defined by a radial basis function, which is a continuous scalar-value function over the domain $R^{3}$. The generated surface consisted of the set of all points at which this scalar function is zero. It was created by placing zero-valued constraints at the vertices of the polygon model. The well-known domain decomposition method was used to treat the large polygon model. The global domain of interest was divided into smaller domains in which the problem could be solved locally. The LU decomposition method was used to solve the set of small local problems; the local solutions were then combined using weighting coefficients to obtain a global solution. The validity of this new approach was demonstrated by using it to fill various holes in large and complex polygon models with arbitrary topologies.

Dynamic behavior of a scroll compressor with radial compliance device (반경방향 순응기구를 갖는 스크롤 압축기의 동적 거동)

  • 김현진;김재호;이진갑
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.1
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    • pp.33-43
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    • 1998
  • Dynamic behavior of a scroll compressor has been investigated analytically. The equations of motion of moving elements of the scroll compressor such as the orbiting scroll, anti-rotation device, slider bush, and the crank shaft with eccentric crank pin have been set up. As the solutions of these equations, reaction forces between the moving elements, and also between the moving elements and the compressor frame have been calculated. The reaction forces from the moving elements to the frame are the unbalanced forces, which produce accelerations of the compressor body. These accelerations can be used as a measure of the compressor vibration. The major contributions to the unbalanced forces come from the orbiting movement of the orbiting scroll.

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Study on Anomalous Electron Diffusion in the Hall Effect Thruster

  • Kwon, Kybeom;Walker, Mitchell L.R.;Mavris, Dimitri N.
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.3
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    • pp.320-334
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    • 2014
  • Over the last two decades, numerous experimental and numerical efforts have examined physical phenomena in plasma discharge devices. The physical mechanisms that govern the anomalous electron diffusion from the cathode to the anode in the Hall Effect Thruster (HET) are not fully understood. This work used 1-D numerical method to improve our understanding and gain insight into the effect of the anomalous electron diffusion in the HET. To this end, numerical solutions are compared with various experimental HET performance measurements and the effects of anomalous electron diffusion are analyzed. The relationships between the anomalous electron diffusion and important parameters of the HET are also studied quantitatively. The work identifies the cathode mass flow rate fraction, radial magnetic field distribution, and discharge voltage as significant factors that affect anomalous electron diffusion. Additionally, the study demonstrates a computational process to determine the radial magnetic field distribution required to achieve specific thruster performance goals.

The Effects of Thermal Front on Sound Propagation in Shallow Seas of Korea (한국 천해에서 수온전선이 수중음향전파에 미치는 효과)

  • Na, Jung-Yul
    • The Journal of the Acoustical Society of Korea
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    • v.7 no.4
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    • pp.110-116
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    • 1988
  • The thermal front over the shallow coastal seas of Korea during the winter season provides very unique acoustic media such that wave equation is easily separable and the solutions turn out to be very simple and well known. In steady of using the WKB method to solve the radial equation the mode technique have been applied to obtain the solution. The radial propagation is rather weakly influenced by the presence of the thermal front that causes the horizontal variations of the sound speed. The physical description of the sound propagation is also presented in terms of ray tracing.

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Flow Analysis of Centrifugal Compressor Using Quasi-Three-Dimensional Analysis (원심압축기의 유동해석을 위한 준삼차원 해석기법)

  • Ahn, S. J.;Oh, H. W.;Kim, K. Y.
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.106-112
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    • 2001
  • This paper presents analysis of the flows through three different types of radial compressor impeller by using quasi-three-dimensional analysis method. The method obtains two-dimensional solution for velocity distribution on meridional plane, and then calculates approximately the static pressure distributions on blade surfaces. Finite difference method is used for the solutions of governing equations. The compressors have low level compression-ratio and 12 straight radial blades with no sweepback. The results are compared with experimental data and the results of inviscid analysis with finite element method. It can be concluded that the agreement is good for the cases where viscous effects are not dominant.

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Performance Prediction of Centrifugal Compressor Impellers using Quasi-Three-Dimensional Analysis (준삼차원 방법에 의한 원심 압축기의 성능예측)

  • Ahn, S.J.;Oh, H.W.;Kim, K.Y.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.628-633
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    • 2001
  • This paper presents analysis of the flows through three different types of radial compressor by using quasi-three-dimensional analysis method. The method obtains two-dimensional solution for velocity distribution on meridional plane, and then calculates approximately the static pressure distributions on blade surfaces. Finite difference method is used for the solutions of governing equations. The compressors have low level compression-ratio and 12 straight radial blades with no sweepback. The results are compared with experimental data and the results of inviscid analysis with finite element method. It can be concluded that the agreement is good for the cases where viscous effects are not dominant.

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