• 제목/요약/키워드: volume equation

검색결과 1,216건 처리시간 0.024초

Study on magnetic field mapping within cylindrical center volume of general magnet

  • Huang, Li;Lee, Sangjin
    • 한국초전도ㆍ저온공학회논문지
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    • 제18권2호
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    • pp.30-36
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    • 2016
  • For the magnetic field analysis or design, it is important to know the behavior of the magnetic field in an interesting space. Magnetic field mapping becomes a useful tool for the study of magnetic field. In this paper, a numerical way for mapping the magnetic field within the cylindrical center volume of magnet is presented, based on the solution of the Laplace's equation in the cylindrical coordinate system. The expression of the magnetic field can be obtained by the magnetic flux density, which measured in the mapped volume. According to the form of the expression, the measurement points are arranged with the parallel cylindrical line (PCL) method. As example, the magnetic flux density generated by an electron cyclotron resonance ion source (ECRIS) magnet and a quadrupole magnet were mapped using the PCL method, respectively. The mapping results show the PCL arrangement method is feasible and convenience to map the magnetic field within a cylindrical center volume generated by the general magnet.

섭동법을 이용한 공기윤활 슬라이더 베어링의 동특성 해석 (An Analysis of Dynamic Characteristics of Air-Lubricated Slider Bearing by Using Perturbation Method)

  • 강태식;최동훈;정태건
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1520-1528
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    • 2000
  • This study presents a method for determining bearing stiffness and damping coefficients of air-lubricated slider bearing, and shows influences of air-bearing surface geometry(recess depth, crown an d pivot location) on flying attitude and dynamic characteristics. To derive the dynamic lubrication equation, the perturbation method is applied to the generalized lubrication equation which based on linearized Boltzmann equation. The generalized lubrication equation and the dynamic lubrication equation are converted to a control volume formulation, and then, the static and dynamic pressure distributions are calculated by finite difference method. The recess depth and crown of the slider show significantly influence on flying attitude and dynamic characteristics comparing with those of pivot location.

레이저를 이용한 균일 금속 액적 생성 (Uniform metal droplet generation using laser)

  • 강대현;양영수;김용욱;조성규;박성민
    • 한국레이저가공학회지
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    • 제5권1호
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    • pp.23-31
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    • 2002
  • The uniform metal droplet generation using Nd-YAG laser was studied and experiment was carried out. The shape and volume of developed droplet was measured and the Young-Laplace equation and equilibrium condition of force were applied this model. The differential equation predicting shape of droplet using equilibrium condition of force instead of Navier-stokes equation was induced and numerical solution of differential equation compared with experimentation data. The differential equation was solved by Runge-Kutta method. Surface tension coefficient of droplet was determined with numerical solution relate to experimental result under the statical condition. In case of dynamic vibration, metal droplet shape and detaching critical volume are predicted by recalculating proposed model. The result revealed that this model could reasonably describe the behavior of molten metal droplet on vibration.

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반복압축하의 응집된 알루미나 분말의 치밀화 (Densification of Aggregated Alumina Powder under Cyclin Compaction)

  • 김기태;손건석;서정
    • 한국세라믹학회지
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    • 제29권2호
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    • pp.136-142
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    • 1992
  • The effects of cyclic stress, frequency and bias-pressure on densification of Al2O3 powder cyclic compaction are investigated. The effect of frequency was not significant on densification of Al2O3 powder under cyclic compaction. The higher the cyclic stress and the lower the bias pressure, the higher densification was achieved. To obtain a higher densification, cyclic compaction was more efficient than 1 stroke compaction. A densification equation was proposed to describe an cyclic time dependent pressure-volume relation for Al2O3 powder under cyclic compaction. This equation was obtained empirically, based on the pressure-volume equation proposed by Cooper and Eaton, the time dependent densification equation by Kim and Suh and experimental data for Al2O3 powder under cyclic compaction. The agreement between the proposed equation and experimental data for Al2O3 powder under cyclic compaction was very good.

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체적 적분방정식법을 이용한, 다수의 함유체를 포함한 반무한 고체에서의 탄성해석 (Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method)

  • 이정기;구덕영
    • 대한기계학회논문집A
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    • 제32권2호
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    • pp.148-161
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    • 2008
  • A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions subject to remote loading. A detailed analysis of stress field at the interface between the matrix and the central inclusion in the first column of square packing is carried out for different values of the distance between the center of the central inclusion in the first column of square packing of inclusions and the traction-free surface boundary in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions.

이방성 섬유의 배열이 복합재료의 응력에 미치는 영향 (Effects of Anisotropic Fiber Packing on Stresses in Composites)

  • 이정기;이형민
    • 대한기계학회논문집A
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    • 제28권9호
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    • pp.1284-1296
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    • 2004
  • In order to investigate effects of anisotropic fiber packing on stresses in composites, a Volume Integral Equation Method is applied to calculate the elastostatic field in an unbounded isotropic elastic medium containing multiple orthotropic inclusions subject to remote loading, and a Mixed Volume and Boundary Integral Equation Method is introduced for the solution of elastostatic problems in unbounded isotropic materials containing multiple anisotropic inclusions as well as one void under uniform remote loading. A detailed analysis of stress fields at the interface between the isotropic matrix and the central orthotropic inclusion is carried out for square, hexagonal and random packing of orthotropic cylindrical inclusions, respectively. Also, an analysis of stress fields at the interface between the isotropic matrix and the central orthotropic inclusion is carried out, when it is assumed that a void is replaced with one inclusion adjacent to the central inclusion of square, hexagonal and random packing of orthotropic cylindrical inclusions, respectively, due to manufacturing and/or service induced defects. The effects of random orthotropic fiber packing on stresses at the interface between the isotropic matrix and the central orthotropic inclusion are compared with the influences of square and hexagonal orthotropic fiber packing on stresses. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with multiple orthotropic inclusions and one void, it will be established that these new methods are very accurate and effective for investigating effects of general anisotropic fiber packing on stresses in composites.

혼합 체적-경계 적분방정식법을 이용한 탄성해석 방법 개발 (Development of an Elastic Analysis Technique Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;허강일;진원재
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.775-786
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    • 2002
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of elastic wave scattering problems and plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. In the formulation of this method, the continuity condition at each interface is automatically satisfied, and in contrast to finite element methods, where the full domain needs to be discretized, this method requires discretization of the inclusions only. Finally, this method takes full advantage of the pre- and post-processing capabilities developed in FEM and BIEM. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, and the analysis of plane wave scattering problems in unbounded isotropic matrix with isotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane wave scattering problems and plane elastic problems in unbounded solids containing general anisotropic inclusions and voids/cracks or isotropic inclusions.

도심지 소유역에 적용 가능한 우수저류조의 용량 산정에 관한 연구 (A Study on the Calculation of Storage Volume of Storm-Water Detention Basins for Small Urban Catchments)

  • 김대근;고영찬
    • 상하수도학회지
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    • 제19권5호
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    • pp.619-624
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    • 2005
  • This work is for examining a simplified equation based on the rational formula, which can easily decide storm-water detention volume in small urban catchments. The storm-water detention volume is determined by the inflow hydrograph flowing to detention basin and the outflow hydrograph discharged from the detention basin. The ratio of average outflow over the period of rainfall duration against allowable discharge was 0.5 in former simplified equation. But this research has found that the average outflow ratio depends on the storage methodology. In the case of the on-line storage method, the average outflow ratio is a function of the time of concentration of the catchments and rainfall duration, which ranged from 0.5~1.0. In the case of the off-line storage method, the average ratio is a function of peak discharge and allowable discharge except above time of concentration and rainfall duration, where its function value ranged from 1.0~2.0. When applying this equation to small catchment in Mokpo city, South Korea, we could easily calculate the relation curve between the storm-water detention volume and allowable discharge.

3차원 Volume PIV의 개발 (Development of 3-D Volume PIV)

  • 최장운;남구만;이영호;김미영
    • 대한기계학회논문집B
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    • 제27권6호
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    • pp.726-735
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    • 2003
  • A Process of 3-D Particle image velocimetry, called here, as '3-D volume PIV' was developed for the full-field measurement of 3-D complex flows. The present method includes the coordinate transformation from image to camera, calibration of camera by a calibrator based on the collinear equation, stereo matching of particles by the approximation of the epipolar lines, accurate calculation of 3-D particle positions, identification of velocity vectors by 3-D cross-correlation equation, removal of error vectors by a statistical method followed by a continuity equation criterior, and finally 3-D animation as the post processing. In principle, as two frame images only are necessary for the single instantaneous analysis 3-D flow field, more effective vectors are obtainable contrary to the previous multi-frame vector algorithm. An Experimental system was also used for the application of the proposed method. Three analog CCD camera and a Halogen lamp illumination were adopted to capture the wake flow behind a bluff obstacle. Among 200 effective particle s in two consecutive frames, 170 vectors were obtained averagely in the present study.

Kozak 수간곡선 모형을 이용한 아까시나무 입목재적표 개발 (Development of Stem Volume Table for Robinia pseudoacacia Using Kozak's Stem Profile Model)

  • 손영모;전준헌;표정기;김경남;김소원;이경학
    • 농업생명과학연구
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    • 제46권6호
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    • pp.43-49
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    • 2012
  • 본 연구는 수간곡선식을 이용하여 아까시나무의 입목 수간재적표를 개발하고자 수행하였다. 이용한 수간곡선식은 Kozak 모형이었으며, 모형의 모수를 추정하였다. 추정한 모형은 통계적으로 적합성이 인정되었으며, 잔차분석 결과도 양호한 것으로 판정되었다. 따라서 본 모형이 아까시나무 수간재적표를 조제함에 있어 충분히 이용될 수 있을 것으로 사료된다. 그리고 수간재적표는 이용자의 편의를 위하여 수피 포함 및 수피제외 재적표를 조제하고자, 수피두께추정식을 개발하여 이용하였다. 수피두께추정식 역시 통계적으로 유의성이 인정되었다. 따라서, 본 모형이 아까시나무 수간재적표를 조제함에 있어 충분히 이용될 수 있을 것으로 사료된다. 또한, 국내에서 처음으로 개발한 아까시나무의 수간재적표는 임학뿐 만 아니라 타 분야에 널리 사용되기를 기대한다.