• Title/Summary/Keyword: Rectangular distribution

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A Study on the Intial Blank Design Using Ideal Forming Theory (이상적 변형이론을 이용한 박판 초기형상 설계에 관한 연구)

  • 박상후;윤정환;양동열;김용환;이장희
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.207-218
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    • 1997
  • A new blank design method is introduced to predict the blank shape and the strain distribution in the sheet metal forming process. This method deals with only one step from the final shape to the initial blank using the ideal forming theory. Based on this theory, a three-dimensional membrane finite element code has been developed to design an initial blank in the sheet metal forming process. In this paper, the designs of initial blanks for forming a cylindrical cup, a rectangular cup, and a front fender are presented as examples. Also, it compares the two shapes, the target shape with the shape which is deformed from the initial blank using the FEM analysis code. The results illustrate the information that this direct design code is useful in the preliminary design state.

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A study on the temperature distribution for various base materials due to the constant heat input (가열된 열가소성 재료의 금형내부에서의 온도분포에 관한 연구)

  • 리우환;권형정;양희찬
    • Journal of Advanced Marine Engineering and Technology
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    • v.13 no.3
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    • pp.37-47
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    • 1989
  • A calcuation method of the temperature distribution for various shape due to the constant heat input is studied in this paper. So far, the method of try and error is carring out on the mould design. The reason of adopting this method is due to hardly estimate the cooling system in the mould base. As above description, the most part of the mould is supposed as a rectangular, cylinderical and triangular shape and made a governing equation of heat transfer and solved it to numerical analysis by finite-difference method(central- difference). After that in order to confirm that the temperatures are measured on different shape specimens from the part of frequent usage of which are carbon, crome-molybden, tool and stainless steel those were compared with the results of calculations presented in this paper.

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Analysis of functionally graded plates using a sinusoidal shear deformation theory

  • Hadji, Lazreg
    • Smart Structures and Systems
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    • v.19 no.4
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    • pp.441-448
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    • 2017
  • This paper uses the four-variable refined plate theory for the free vibration analysis of functionally graded material (FGM) rectangular plates. The plate properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Equations of motion are derived from the Hamilton's principle. The closed-form solutions of functionally graded plates are obtained using Navier solution. Numerical results of the refined plate theory are presented to show the effect of the material distribution, the aspect and side-to-thickness ratio on the fundamental frequencies. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behavior of functionally graded plates.

Temperature Uniformity of the Glass Panel Heated in the Infrared Heating Chamber

  • Lee, Kong-Hoon;Kim, Ook-Joong
    • Journal of Mechanical Science and Technology
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    • v.19 no.10
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    • pp.1950-1956
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    • 2005
  • An analysis has been carried out to investigate the effect of the reflectivity on the temperature distribution of a glass panel by infrared radiant heating. Halogen lamps are used to heat the panel, located near the top and bottom of the rectangular chamber. The thermal energy is transferred from the lamps to the panel only by radiation and it is considered by using view factor. The conductive transfer is limited inside the panel. The results show that the uniformity of the temperature distribution of the panel is improved and, at the same time, the time for heating increases as the wall reflectivity increases. The temperature difference between the center and the corner reaches a maximum in the early stage of the heating process and then decreases until it reaches a uniform steady-state value.

Micro-Tribological Investigation for Temperature Rise in Multi-layered Thin Films (다층 박막의 온도상승에 대한 마이크로 트라이볼로지적 조사)

  • Kim, Joon-Hyun;Shin, Kyung-Ho
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.760-765
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    • 2000
  • The study deals with the development of a computational procedure for evaluating the temperature rise in dry and lubricated multi-layered contacts of head/disk interface. A transient computational model with a transformed rectangular computational domain is utilized. A model and a computational method for micro-contact with sub-lubricated zone, including friction heat generation, have been presented. The model was applied, taking full account of the changes in contact area and contact load due to frictional heating. The computational distribution of temperature is obtained with the analytical findings for various composition and contact conditions. Especially, a rapid rise ($220^{\circ}C$ or above) in read head temperature lese to a saturation in the influence of a thermal spike on signal performance. This general class of problems can be treated provided that heat generation distribution and layer properties are known.

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Sub-surface Stress Analysis beneath the Contact Surface of Spur Gear Teeth (스퍼 기어 접촉 치면의 내부응력 해석)

  • Kwang-Jin, Lee;Hyung-Ja, Kim
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.3
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    • pp.64-70
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    • 2004
  • The sub-surface stress field beneath the spur gear's contact surface in lubricated condition has been analysed. The surface pressure was obtained by the elasto-hydrodynamic lubrication analysis using the accurate geometric clearances around the contact region of the teeth. The sub-surface stress field was calculated by using the Love's rectangular patch solution. The analysis results show that the sub-surface stress distribution is quite dependent on the surface pressure distribution. The pattern of sub-surface stress field is similar to that of the external load. The depth where the maximum effective stress occurs is not proportional to the intensity of the external load.

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Flow Characteristics around a NACA0012 Airfoil by PIV (PIV에 의한 NACA0012 익 주변의 유동특성)

  • Choi, M.S.;Cho, D.H.;Lee, Y.H.
    • Journal of Power System Engineering
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    • v.3 no.1
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    • pp.29-37
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    • 1999
  • The flow characteristics of a NACA0012 airfoil was investigated in rectangular water circulating channel. The flow patterns around an airfoil at various angles of attack between $0^{\circ}\;and\;30^{\circ}\;at\;Re=1.91{\times}104$ were visualized and measured with 2-D PIV system and laser sheet illumination. Flow behaviors such as velocity distribution, kinetic energy and flow separation etc. around an airfoil were obtained by means of 2-D PIV system. The behaviors show the difference of flow pattern clearly and separation phenomena become more active with increasing angle of attack.

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Study on the Wrinkling Prediction in Sheet Metal Stamping Processes (박판 스탬핑 공정의 주름발생 예측에 관한 연구)

  • 황보원;금영탁
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.3
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    • pp.131-142
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    • 2001
  • A wrinkling is the instability phenomenon influenced by material properties, shape geometry, forming conditions, stress state, etc. The wrinkling is considered as a critical defect in appearance of product. Many wrinkling prediction methods using thickness strain distribution and farming analysis have been proposed. The wrinkling, however, is not easily predicted precisely by these methods. In this study, the region in the biaxial plane stress state is modeled with a rectangular plate introducing the effective dimension, and critical stress values for the wrinkling are calculated. Prediction index for the wrinkling is then evaluated by normalizing the actual stress with respect to the critical stress. In order to show the validity and efficiency of the method proposed, the wrinkling prediction for a squared sheet in the uniaxial tensile stress and auto-body front finder panel is performed.

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An Upper-Bound Analysis of the Socket Forming Process (Socket Forming에 관한 상계해석)

  • Hwang, Bum-Chul;Hong, Seung-Jin;Bae, Won-Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.8
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    • pp.151-156
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    • 2000
  • A kinematically-admissible velocity field is proposed to determine the forming load the average extruded length and the velocity distribution in the forward and backward extrusion process of a socket. Experiments are carried out with antimony-lead billets at room temperature using the rectangular punch and the hexagonal die. The theoretical predictions of the forming load and the average extruded length are in good agreement with the experimental results.

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Thermoelastic analysis of rectangular plates with variable thickness made of FGM based on TSDT using DQ method

  • Amiri, Majid;Loghman, Abbas;Arefi, Mohammad
    • Geomechanics and Engineering
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    • v.29 no.6
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    • pp.667-681
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    • 2022
  • This paper presents a thermoelastic analysis of variable thickness plates made of functionally graded materials (FGM) subjected to mechanical and thermal loads. The thermal load is applied to the plate as a temperature difference between the top and bottom surfaces. Temperature distribution in the plate is obtained using the steady-state heat equation. Except for Poisson's ratio, all mechanical properties of the plate are assumed to vary linearly along the thickness direction based on the volume fractions of ceramic and metal. The plate is resting on an elastic foundation modeled based on the Winkler foundation model. The governing equations are derived based on the third-order shear deformation theory (TSDT) and are solved numerically for various boundary conditions using the differential quadrature method (DQM). The effects of various parameters on the stress distribution and deflection of the plate are investigated such as the value of thermal and mechanical loads, volume fractions of ceramic and metal, and the stiffness coefficients of the foundation.