• Title/Summary/Keyword: square and rectangular

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Formulating the Local Displacement and Local Moments of a Plate Stiffened with Open Ribs According to the Loading Sizes (재하 크기에 따른 개단면 리브 보강판의 국부 처짐과 국부 모멘트의 정형화)

  • Chu, Seok Beom
    • Journal of Korean Society of Steel Construction
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    • v.25 no.3
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    • pp.267-278
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    • 2013
  • In this study, stiffened plates with open ribs are analyzed to estimate and formulate the local displacement and local moments according to square loading sizes. For the local behaviors of plates stiffened with rectangular and reverse T ribs, the ratio functions according to the dimensions of stiffened plates are obtained at each square loading size. Analytical results show that values of the basic stiffened plates are different but the ratio functions of each square loading size are similar and the difference of the ratio functions between rectangular ribs and reverse T ribs are small, so the ratio functions can be unified by integrating the loading sizes regardless of the rib type. The application of the unioned ratio functions to L type ribs and rectangular loading shows good accuracies. Therefore, the local behaviors of plates stiffened with open ribs can easily be obtained by using the unioned ratio functions proposed in this study.

Experimental Study on the Formability of Simultaneous Deep Drawing of Circular and Rectangular Cups with AZ31 Magnesium Alloy (AZ31 마그네슘 판재의 더블 싱크형 딥드로잉 공정의 성형성에 관한 실험적 연구)

  • Kwon, K.T.;Kang, S.B.;Kang, C.G.
    • Transactions of Materials Processing
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    • v.17 no.8
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    • pp.586-593
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    • 2008
  • In warm press forming of magnesium alloy sheet, it is important to control the sheet temperature by heating the sheet in closed die. When forming a commercial AZ31 magnesium alloy sheets which are 0.5mm and 1.0mm thick, respectively, time arriving at target temperature and temperature variation in magnesium alloy sheet have been investigated. The deep drawing process with rectangular shape alone at the first stage and with both circular and rectangular shapes at the second stage was employed. At the first stage, through deep drawing process with rectangular shape alone according to various forming temperature($150{\sim}350^{\circ}C$) and velocity($0.1{\sim}1.0mm/s$), optimum forming condition was obtained. At the second stage, deep drawing process with the circular and rectangular shapes were performed following deep drawn square cups with Limited Drawing Height(LDH) obtained at the first stage. Here, clearance which is defined a gap between the die and the punch including sheet was set to ratio of 20, 40 and 100% to thickness in sheet. Accordingly, temperature, velocities, and clearances suitable for forming were suggested through investigating the thickness variation of the product.

Out-of-plane Structural Intensity Analysis of Rectangular Thick Plate (직사각형 후판의 면외 진동인텐시티 해석)

  • Kim, Kook-Hyun;Cho, Dae-Seung
    • Journal of Ocean Engineering and Technology
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    • v.26 no.4
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    • pp.42-49
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    • 2012
  • A numerical method is presented for an out-of-plane structural intensity analysis of rectangular thick plates with arbitrary elastic edge constraints. The method adapts an assumed mode method based on Timoshenko beam functions to obtain the velocities and internal forces needed for a structural intensity analysis. To verify the presented method, the structural intensity of a square thick plate under harmonic force excitation, for which four edges are simply supported, is analyzed, and the result is compared with existing solutions using the assumed mode method based on trigonometric functions. In addition, numerical analyses are carried out for a rectangular-shaped thick plate under harmonic force excitations, of which three edges are simply supported and one edge utilizes an arbitrary elastic edge constraint. These numerical examples show the good accuracy and applicability of the presented method for rectangular thick plates with arbitrary edge constraints.

Analysis on a Simple Waveguide Using Meshfree Method (무요소법을 이용한 waveguide 내의 필드 분포 해석)

  • Lee, Chany;Woo, Dong-Kyun;Jung, Hyun-Kyo
    • 한국정보통신설비학회:학술대회논문집
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    • 2008.08a
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    • pp.190-192
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    • 2008
  • This paper shows the formulation of fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree methods. FMLSRKM has some advantages compared to conventional numerical techniques such as finite element method. For simple analysis on a rectangular waveguide, point collocation scheme is introduced and applied.

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Tangible AR interaction based on fingertip touch using small-sized non-square markers

  • Park, Hyungjun;Jung, Ho-Kyun;Park, Sang-Jin
    • Journal of Computational Design and Engineering
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    • v.1 no.4
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    • pp.289-297
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    • 2014
  • Although big-sized markers are good for accurate marker recognition and tracking, they are easily occluded by other objects and deteriorate natural visualization and level of immersion during user interaction in AR environments. In this paper, we propose an approach to exploiting the use of rectangular markers to support tangible AR interaction based on fingertip touch using small-sized markers. It basically adjusts the length, width, and interior area of rectangular markers to make them more suitably fit to longish objects like fingers. It also utilizes convex polygons to resolve the partial occlusion of a marker and properly enlarges the pattern area of a marker while adjusting its size without deteriorating the quality of marker detection. We obtained encouraging results from users that the approach can provide better natural visualization and higher level of immersion, and be accurate and tangible enough to support a pseudo feeling of touching virtual products with human hands or fingertips during design evaluation of digital handheld products.

Measurement of turbulent flow characteristics of a rectangular duct with a 180.deg. bend by hot wire anemometer (열선유속계에 의한 180.deg.곡관을 갖는 직사각 단면덕트에서의 난류유동 특성의 측정)

  • 박호영;유석재;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.734-746
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    • 1990
  • Velocities and Reynolds stresses in 3-dimensional turbulent flow in rectangular ducts with a 180.deg. bend were measured by hot wire anemometer. Slant wire was rotated to 4 directions and I type wire was rotated to 2 directions and the voltage outputs of them were combined to obtain the mean velocities and Reynolds stresses. Flow characteristics in the 1.5:1 and 2:1 cross secioned 180.deg. bend were measured and the results were compared with the data from Moon for the square sectioned 180.deg. bend flow. Flows in rectangular sectioned 180.deg. bend show the reduction in secondary flow and therefore the reduction of double maximum in local mean velocities.

A Study on the Corner Filling in the Drawing of the Rectangular Rod (사각재 인발 공정의 코너채움에 관한 연구)

  • Kim Y. C.;Kim Y. S.;Kim B. M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.05a
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    • pp.56-59
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    • 1999
  • In the present study, in order to investigate the effect of the corner filling in the drawing of the rectangular rod from a round bar, the drawing of the square rod from a round bar has been simulated by using rigid-plastic finite element method and artificial neural network has been introduced to reduce the number of simulation. The experimental investigation has been also implemented to verify the efficiency of the application of results of present and previous study. According to the results of present and pervious study, the combination of semi-die angle gives a great effect on the corner filling in case of the irregular shaped drawing process, but, in case of the regular shaped drawing process, the main process variable on the corner filling is reduction in area.

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An Upper Bound Analysis of the Final-Stage Square Die Extrusion of the Non-Axisymmetric Bars (비축대칭 형상을 가진 제품의 최종단계 평금형 압출에 관한 상계해석)

  • Kim, Dong-Kwon;Bae, Won-Byong;Kim, Young-Ho
    • Transactions of Materials Processing
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    • v.4 no.4
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    • pp.390-397
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    • 1995
  • A simple kinematically admissible velocity field is proposed to determine the final-stage extrusion load and the average extruded length in the square-die forward extrusion of non-axisymmetric bars from circular billets. The proposed velocity field is applied to the square-die extrusion of trochoidal gear-shaped bars and rectangular-shaped bars. The profile function of a rectangle is approximated by using a Fourier series. Experiments have been carried out with hard solder billets at room temperature. The theoretical predictions of the extrusion load are in good agreements with the experimental results and there is generally reasonable agreements in average extruded length between theory and experiment.

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Extru-Bending Process for Aluminum Tube Products with Rectangular Sections (각단면을 가지는 알루미늄 튜브제품의 압출굽힘가공)

  • 박대윤;진인태
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.285-288
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    • 2003
  • The bending phenomenon during extruding one product using four billets can be obtain by the difference of hole diameters in the multi-hole container. The difference of hole diameter caused the difference of billet amount inserted in the die cavity. As results, it can bend during extruding products by the different amount of two billets and by the cohesion of billets in the porthole dies cavity. And the bending curvature can be controlled by the size of holes and billets. The experiments using aluminium material had been done for the rectangular and square curved tube product. The results of the experiment show that the curved aluminum tube product can be bended by the extru-bending process without the defects such as the distortion of section and the thickness change of the wall of tube and the folding and wrinkling. The curvature of product is affected by shape of cross section and the difference of billet diameters. It is known that the welding and extruding and bending can be done simultaneously in the die cavity when a rectangular hollow curved tube would be extruded by porthole dies using four different size billets made of aluminum material.

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Numerical studies on non-shear and shear flows past a 5:1 rectangular cylinder

  • Zhou, Qiang;Cao, Shuyang;Zhou, Zhiyong
    • Wind and Structures
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    • v.17 no.4
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    • pp.379-397
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    • 2013
  • Large Eddy Simulations (LES) were carried out to investigate the aerodynamic characteristics of a rectangular cylinder with side ratio B/D=5 at Reynolds number Re=22,000 (based on cylinder thickness). Particular attention was devoted to the effects of velocity shear in the oncoming flow. Time-averaged and unsteady flow patterns around the cylinder were studied to enhance understanding of the effects of velocity shear. The simulation results showed that the Strouhal number has no significant variation with oncoming velocity shear, while the peak fluctuation frequency of the drag coefficient becomes identical to that of the lift coefficient with increase in velocity shear. The intermittently-reattached flow that features the aerodynamics of the 5:1 rectangular cylinder in non-shear flow becomes more stably reattached on the high-velocity side, and more stably separated on the low-velocity side. Both the mean and fluctuating drag coefficients increase slightly with increase in velocity shear. The mean and fluctuating lift and moment coefficients increase almost linearly with velocity shear. Lift force acts from the high-velocity side to the low-velocity side, which is similar to that of a circular cylinder but opposite to that of a square cylinder under the same oncoming shear flow.