• Title/Summary/Keyword: coordinate plane

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Matrix and Dyadic Representation of Stress and Strain (응력과 변형률의 Dyad와 행렬에 의한 표현)

  • Kim, Chan-Jung;Jo, Jong-Du
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.2 s.173
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    • pp.489-495
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    • 2000
  • Stress and strain in continuum mechanics have a mathematical form of the second order tensor. it is well-known that the usefulness of tensor components could be explained in a relation with coordin ates system transformation and Mohr's circle could be easily used to make a coordinate system transformation of tensors. However, Mohr's circle is applied mainly to plane problems and its use to three dimensional cases is limitedly employed. In this paper, we propose a matrix and dyadic representation of stress and strain tensors which could equivalently replace the graphical representation of second order tensors. The use of the proposed representation might provide a valuable means for the educational respects as well as research view point.

Development of the Linear Feeder for Uniform Transportation of Grains (균일한 곡물이송을 위한 색채 선별기용 리니어 피더의 개발)

  • Lee, Kyu-Ho;Kim, Sung-Hyun;Chung, Jin-Tai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.567-570
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    • 2006
  • The purpose of this study is to develope a linear feeder for uniform transportation of grains and to present its design guide line. so, It is measured the displacement of the front and rear aspect of the feeder in time domain. And the measured time signal is represented to the plane coordinate. From this process, it is presented the motion of the feeder in a harmonic excited condition. Also, It is determined whether translation motion or rotation motion. From these course, it is defined the optimized dynamic motion for uniform transportation of grains. It is included a ratio of the displacement and the angle which the dynamic motion between the front and rear aspect of the feeder.

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Deployment or Retraction of Beam with Large Rotational Motion (대각 선회하는 보의 전개 및 수납)

  • 김상원;김지환
    • Journal of KSNVE
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    • v.11 no.1
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    • pp.111-117
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    • 2001
  • Present work deals with a study on the deployment or retraction of cantilever beam that includes the rigid-body motion of large displacement of beam through the translational and rotational motions in 2-dimensional plane. The equations of motion are derived with respect to non-Cartesian coordinate system. In the formulation of equations of motion, shear deformations and geometrically non-linear effect are included. An assumed mode method is applied and numerical convergence characteristics are studied also. Types of motion of the moving beam are assumed to be classified as‘slow’or‘fast’motion, and the dynamic characteristics are investigated.

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Numerical study of Three-Dimensional Characteristics of Flow Field and Compression Wave Induced by High Speed Train Entering into a Tunnel (터널에 진입하는 고속전철에 의한 3차원 점성유동과 압축파 특성에 관한 수치해석적 연구)

  • Shin C. H.;Park W. G.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.91-98
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    • 2000
  • The three-dimensional unsteady compressible Full Navier-Stokes equation solver with sliding multi-block method has been applied to analyze three dimensional characteristics of the flow field and compression wave around the high speed train which Is entering into a tunnel. The numerical scheme of AF + ADI was used to efficiently solve Navier-Stokes equations in the curvilinear coordinate system. The vortex formation around the nose region was found and the generation of compression wave due to the blockage effects was observed ahead of the train in the form of plane wave. The three dimensional characteristics of the flow field compared to the analytic results were discussed in detail. The variation of pressure of tunnel wall surface and velocity profile of the train are identified as the train enters into a tunnel. The changes in aerodynamic forces and streamlines of each specific sections are also discussed and presented.

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Numerical study of Three-Dimensional Viscous Flow and Compression Wave Induced by the High Speed Train Entering into a Tunnel (터널에 진입하는 고속전철 주위의 3차원 점성유동과 압축파 특성에 관한 수치해석적 연구)

  • Shin C. H.;Park W. G.
    • Journal of computational fluids engineering
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    • v.5 no.3
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    • pp.23-31
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    • 2000
  • The three-dimensional unsteady compressible Full Navier-Stokes equation solver with sliding multi-block method has been applied to analyze three dimensional characteristics of the viscous flow field and compression wave around the high speed train which is entering into a tunnel. The numerical scheme of AF + ADI was used to efficiently solve Navier-Stokes equations in the curvilinear coordinate system. The vortex formation owing to the viscous interaction around the train was found and the generation of compression wave due to the blockage effects was observed ahead of the train in the form of plane wave. The three dimensional characteristics of the flow field compared to the analytic results were discussed in detail. The variation of pressure of tunnel wall surface and velocity profile of the train are identified as the train enters into a tunnel. The changes in aerodynamic forces and streamlines of each specific sections are also discussed.

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Analysis of 3-D Cutting Process with Single Point Tool

  • Lee, Young-Moon;Park, Won-Sik;Song, Tae-Seong
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.1
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    • pp.15-21
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    • 2000
  • This study presents a procedure for analyzing chip-tool friction and shear processes in 3-D cutting with a single point tool. The edge of a single point tool including a circular nose is modified to an equivalent straight edge, thereby reducing the 3-D cutting with a single point tool to the equivalent of oblique cutting. Then, by transforming the conventional coordinate systems and using the measurements of three cutting force components, the force components on the rake face and shear plane of the equivalent oblique cutting system can be obtained. As a result, the chip-tool friction and shear characteristics of 3-D cutting with a single point tool can be assessed.

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Design of Trapezoidal Air Screw for Elevators (엘리베이터용 사다리꼴 에어 스크류의 설계)

  • Park, Sang-Shin;Kim, Jin-Ho
    • Tribology and Lubricants
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    • v.24 no.1
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    • pp.14-20
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    • 2008
  • In this paper, the characteristics of trapezoidal air screws is studied. These screws can e applied to the elevator having column driving shaft. The generalized coordinate transformation technique is used to solve incompressible Reynolds' equation because the air lubricated plane is twisted. The transformed equation is discretized by the base of Finite difference method. Using Visual C++ language, a GUI program which can calculate he load carrying capacity for this kind of air screw is developed, then the design variables for these air screws is studied.

An original single variable shear deformation theory for buckling analysis of thick isotropic plates

  • Klouche, Faiza;Darcherif, Lamia;Sekkal, Mohamed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.439-446
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    • 2017
  • This work proposes an original single variable shear deformation theory to study the buckling analysis of thick isotropic plates subjected to uniaxial and biaxial in-plane loads. This theory is built upon the classical plate theory (CPT) including the exponential function in terms of thickness coordinate to represent shear deformation effect and it involves only one governing differential equation. Efficacy of the present theory is confirmed through illustrative numerical examples. The obtained results are compared with those of other higher-order shear deformation plate theory results.

Three Dimensional Geometric Feature Detection Using Computer Vision System and Laser Structured Light (컴퓨터 시각과 레이저 구조광을 이용한 물체의 3차원 정보 추출)

  • Hwang, H.;Chang, Y.C.;Im, D.H.
    • Journal of Biosystems Engineering
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    • v.23 no.4
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    • pp.381-390
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    • 1998
  • An algorithm to extract the 3-D geometric information of a static object was developed using a set of 2-D computer vision system and a laser structured lighting device. As a structured light pattern, multi-parallel lines were used in the study. The proposed algorithm was composed of three stages. The camera calibration, which determined a coordinate transformation between the image plane and the real 3-D world, was performed using known 6 pairs of points at the first stage. Then, utilizing the shifting phenomena of the projected laser beam on an object, the height of the object was computed at the second stage. Finally, using the height information of the 2-D image point, the corresponding 3-D information was computed using results of the camera calibration. For arbitrary geometric objects, the maximum error of the extracted 3-D feature using the proposed algorithm was less than 1~2mm. The results showed that the proposed algorithm was accurate for 3-D geometric feature detection of an object.

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Nonlinear finite element analysis of fibre reinforced concrete deep beams

  • Swaddiwudhipong, S.
    • Structural Engineering and Mechanics
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    • v.4 no.4
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    • pp.437-450
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    • 1996
  • A study on the behaviour of fibre reinforced concrete deep beams with and without web openings is carried out using nonlinear finite element analysis. Eight node isoparametric plane stress elements are employed to model the fibre reinforced concrete materials. Steel bars are treated using a compatible three node truss elements. The constitutive equations for fibre reinforced concrete materials take into account the softening effect of co-existing shear strains. Element stiffness at each step is formulated based on the tangent modulus at the current level of principal strains. Transformation between principal directions and global coordinate system is imposed. Comparison of analytical results with experimental values indicates reasonably good agreement. The proposed numerical model can be used to study the behaviour of this composite structures of practically any geometries.