• Title/Summary/Keyword: Cylindrical Coordinate System

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Levy-type solution for analysis of a magneto-electro-elastic panel

  • Jia He;Xuejiao Zhang;Hong Gong;H. Elhosiny Ali;Elimam Ali
    • Steel and Composite Structures
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    • v.46 no.6
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    • pp.719-729
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    • 2023
  • This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.

Electromagnetic Field Analysis and Measurements of Cylindrical Linear Oscillatory Actuator using Transfer Relations Theorem (전자기 전달관계를 이용한 원통형 직선 왕복구동 액추에이터의 전자기 특성 해석 및 실험)

  • Jang, Seok-Myeong;Kim, Hyun-Kyu;Choi, Jang-Young;Lee, Sung-Ho
    • Proceedings of the KIEE Conference
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    • 2008.04c
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    • pp.89-91
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    • 2008
  • This paper deals with the thrust calculations and the measurements of a cylindrical Linear Oscillatory Actuator (LOA) sing Transfer Relations Theorem (TRT), namely, Melcher's methodology. Using transfer relations derived in terms of a magnetic vector potential and a two-dimensional (2-d) cylindrical coordinate system, this paper derives analytical solutions for the magnetic vector potential, magnetic fields due to Permanent Magnets (PMs) and stator winding currents and the thrust. The analytical results are validated by non-linear Finite Element (FE) analyses. In particular, test results such as thrust and back-emf measurements are given to confirm the analysis.

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Evaluation of turbulent SGS model for large eddy simulation of turbulent flow inside a sudden expansion cylindrical chamber (급 확대부를 갖는 실린더 챔버 내부 유동에 관한 LES 난류모델의 평가)

  • 최창용;고상철
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.3
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    • pp.423-433
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    • 2004
  • A large eddy simulation (LES) is performed for turbulent flow in a combustion device. The combustion device is simplified as a cylindrical chamber with sudden expansion. A flame holder is attached inside a cylindrical chamber in order to promote turbulent mixing and to accommodate flame stability. The turbulent sub-grid scale models are applied and validated. Emphasis is placed on the evaluation of turbulent model for the LES of complex geometry. The simulation code is constructed by using a general coordinate system based on the physical contravariant velocity components. The calculated Reynolds number is 5000 based on the bulk velocity and the diameter of inlet pipe. The predicted turbulent statistics are evaluated by comparing with the LDV measurement data. The Smagorinsky model coefficients are estimated and the utility of dynamic SGS models are confirmed in the LES of complex geometry.

A Study On the Manufacturing process of Cylindrical Cam based on Relative Velocity Method and Inverse Kinematics (상대속도법과 역기구학을 이용한 원통 캠의 가공에 관한 연구)

  • 구병국;신중호;강동우;장세원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.402-405
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    • 1997
  • Based on the relative velocity method and the inverse kinematics theory, this paper presents an automated system for designing and manufacturing of an open type cylindrical cam with a rotating follower(OCRF). In the first part, this paper defines the relative velocity method for OCRF and calculates the contact point by using the coordinate transformation technique. In the second part, it generates NC Code of a CNC machine center for inverse kinematics by using the cutter location and the cutter orientation of OCRF. Finally, the automated CADICAM program developed in the paper shows an example on the desip and manufacture process of OCRF.

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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.

Finite Raytracing Through Non-rotationally Symmetric Systems (비대칭형 광학계의 유한광선추적)

  • 홍경희
    • Korean Journal of Optics and Photonics
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    • v.1 no.2
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    • pp.217-222
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    • 1990
  • A general ray tracing scheme has been developed for using a personal computer which trace finite rays through any non-rotationally symmetric system. This scheme may be used for the surface type such as conic section with or without aspherics, toric surfaces, sagittal and tangential cylindrical sections and axicons. Specially, any combinational of decentered, tilted and rotated surfaces has been considered. Before transfering to the next surfaces, the local coordinates are refered back to an initial reference coordinate system. We can get a mathmtical model of a non-rotationally symmetrical finite ray trace running on an inexpensive personal computer.

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Numerical Study of the blade dynamics for a cross-flow turbine

  • Sato Yuko;Kawamura Tetuya
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.230-231
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    • 2003
  • Two and three-dimensional flows around a cross-flow wind turbine are investigated by the numerical simulation. The turbine studied in this paper has cylindrical shape with many small blades along its periphery. Incompressible Navier-Stokes equation is used for this simulation. A rotating coordinate system, which rotates at the same speed of the turbine, is used in order to simplify the boundary conditions on the blades of the turbine. Additionally, a boundary fitted coordinate system is employed in order to express the shape of the blades precisely. A third order upwind scheme is chosen for the approximation of the non-linear terms. When the number of blades is about 10, the highest torque is obtained.

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FE analysis of Al sheet metal considering planar anisotropy (평면이방성을 고려한 알루미늄 판재의 유한요소해석)

  • 윤정환;양동열;송인섭;정관수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.44-54
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    • 1994
  • A variational formulation and the associated finite elemet equations have been derived for general three-dimensional deformation of a planar anisotropic rigid-plastic sheet metal which obeys the strain-rate potential proposed by BARLAT et al [13]. By using the natural convected coordinate system, the effect of geometric change and the rotation of planar anisotropic axes are considered efficiently. In order to check the validity of present formulation, a cylindrical cup and a square cup deep drawing test was modeled. good agreement was found between the FE simulation and the experiment. The results have shown that the present formulation for planar anisotropic deformation can be efficiently applied to the analysis of sheet metal working processes for planar anisotropic nonferrous metals.

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The Study on Axisymmetric Deformation of Thin Orthotropic Composite Pressure Vessel (직교이방성 복합재료로 만든 두께가 얇은 압력용기의 변형에 관한 연구)

  • 김형원;최용규
    • Journal of the Korean Society of Propulsion Engineers
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    • v.7 no.2
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    • pp.36-43
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    • 2003
  • The analytic solution of radial displacements of thin cylindrical pressure vessel with carbon fiber T700/Epoxy orthotropic composites was obtained using equilibrium equations of the orthogonal curvilinear coordinate system. The governing equations with the simplified strain versus displacement relation of 3-dimensional curvilinear coordinate system were derived from the variational principle and the virtual work principle. Some theoretical analyses were presented and compared with the results of hydraulic tests for the pressure vessels with some various thicknesses. The results of the theoretical analysis and the hydraulic test were reasonably matched.

Development of Zonal-Embedded-Grid Method for a Polar Coordinate System and Application to the Spin-up Flow within a Semi-Circular Cylinder

  • SUH Yong Kweon;YEO Chang-Ho
    • 한국가시화정보학회:학술대회논문집
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    • 2004.12a
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    • pp.81-90
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    • 2004
  • A zonal embedded grid technique has been developed for computation of the two-dimensional Navier-Stokes equations with cylindrical coordinates. The fundamental idea of the zonal embedded grid technique is that the number of azimuthal grids can be made small near the origin of the coordinates so that the grid size is more uniformly distributed over the domain than with the conventional regular-grid system. The code developed using this technique combined with the explicit, finite-volume method was then applied to calculation of the spin-up flows within a semi-circular cylinder. It was shown that the numerical results were in good agreement with the experimental results both qualitatively and quantitatively.

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