• Title/Summary/Keyword: 굽힘곡선

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Frontal Flow Field Construction for Wall Boundary Condition Treatment and Frontal Remeshing Using Spline Curve in Injection Molding Simulation (사술성형 모사에 있어서 벽면 경계조건 처리를 위한 선단 유동장 생성기법과 spline 곡선을 이용한 선단 격자 재구성)

  • 윤재륜
    • The Korean Journal of Rheology
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    • v.5 no.1
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    • pp.34-48
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    • 1993
  • 최근 CAD/CAM의 발전과 더불어 사출성형공정은 여러분야에 폭넓게 응용되고 있 다. 사출성형공정은 크게 충전과정(filling stage), 냉각과정(cooling stage), 보압과정(packing stage)로 나누어 지는데 이중 충전과정은냉각과정과 보압과정에서 나타날 물리적인 현상과 최종 성형품의 기계적 성질에 중요한 영향을 끼치게 된다. 충전과정의 수치 해석 방법은 대 표적으로 control volume method, branching flow method, transient moving boun-dary method로 구분된다. 본 연구에서는 격자의 형태를 양호하게 형성시키고 유동선단의 형태를 개선하기위한 기법인 Spline 곡선을 이용한 선단격자 재구성(frontal remeshing using spline curve)과 수치해석에 소요되는 시간을 줄이기 위하여 벽면경계조건 처리를 위한 선단 유동 장생성(frontal flow field construction for wall boun-dary condition treatment)기법을 개발 하고 transient moving voundary method에 적용시켜 원형 평판과 인장 및 굽힘시편 그리고 두께가 변하는 사각 형상을 가진 캐비터에서의 충전과정을 수치해석하였다. 그결과 압력 분 포, 온도분포, 속도장, 유동선단의 진전형태 등이 기존에 제출된 해석결과와 비교하여 볼 때 만족스러운 수치해석결과를 보였다.

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The Theory of Thin-Walled Curved Rectangular Box Beams Under Torsion and Out-of-Plane Bending (비틀림과 평면외 굽힘을 받는 직사각단면 곡선 박판보 이론)

  • Kim, Yun-Yeong;Kim, Yeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.10 s.181
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    • pp.2637-2645
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    • 2000
  • We propose a new one-dimensional theory for thin-walled curved box beams having rectangular cross sections, in which torsional, out-of-plane bending, warping and distortional deformations are coupled. The major difference between the present theory and existing theories lies in that the present theory takes into account additional distortion as well as warping. To verify the present theory, a standard finite element based on the present theory is developed and used for numerical analysis. A couple of numerical examples indeed confirm that the consideration of warping and distortional deformations is very important.

Vibration Analysis of Curved Beams Using Differential Quadrature (수치해석(미분구적법 DQM)을 이용한 곡선보의 진동분석)

  • Ki-Jun Kang
    • Journal of the Korean Society of Safety
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    • v.14 no.1
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    • pp.199-207
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    • 1999
  • The differential quadrature method (DQM) is applied to computation of eigenvalues of the equations of motion governing the free in-plane and out-of-plane vibrations for circular curved beams. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with existing exact solutions and numerical solutions by other methods (Rayleigh-Ritz, Galerkin or FEM) for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

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Differential Quadrature Analysis for Vibration of Wide-Flange Curved Beams (D.Q.M.을 이용한 I-단면 곡선보의 진동해석)

  • Ji-Won Han;Ki-Jun Kang
    • Journal of the Korean Society of Safety
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    • v.13 no.3
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    • pp.163-170
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    • 1998
  • The differential quadrature method (D.Q.M.) is applied to computation of eigenvalues of small-amplitude free vibration for horizontally curved beams including a warping contribution. Fundamental frequencies are calculated for a single-span, curved, wide-flange beam with both ends simply supported or clamped, or simply supported-clamped end conditions. The results are compared with existing exact solutions and numerical solutions by other methods for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

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Out-of-Plane Vibration Analysis of Curved Beams Considering Shear Deformation Using DQM (전단변형이론 및 미분구적법을 이용한 곡선보의 면외 진동해석)

  • Kang, Ki-Jun;Kim, Jang-Woo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.4
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    • pp.417-425
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    • 2007
  • The differential quadrature method(DQM) is applied to computation of eigenvalues of the equations of motion governing the free out-of-plane vibration for circular curved beams including the effects of rotatory inertia and transverse shearing deformation. Fundamental frequencies are calculated for the members with clamped-clamped end conditions and various opening angles. The results are compared with exact solutions or numerical solutions by other methods for cases in which they are available. The DQM provides good accuracy even when only a limited number of grid points is used.

High Cyclic Fatigue Life and Fracture Behaviors of Shot-Peened Bearing Steel (쇼트피닝 처리를 한 베어링강의 고사이클 피로수명 및 파괴거동)

  • Yoon, Sang-Jae;Choi, Nak-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1119-1129
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    • 2011
  • Shot-peening effects on the fatigue behavior of bearing steel were investigated under the high cyclic loading. Hourglass shape specimens were made of bearing steel(JIS-SUJ2) for rotary bending fatigue tests. Two kinds of treatments were performed : a heat treatment and a shot-peened surface treatment after the heat treatment. The fracture surfaces of specimens were classified into two types of fracture mode : the surface fracture mode induced by a surface defect and the internal fracture mode induced by a nonmetallic inclusion. Inclusion depth and shape affected considerably the fatigue life. Shot-peening treatment improved much the fatigue life of the bearing steel under low and high levels of cyclic loads. Probabilistic-stress-life (P-S-N) curves were suggested for the reliable fatigue life estimation of the improved bearing steel.

An Experimental Investigation of Bending Fatigue Strength in Table Liner for Cement Mill (시멘트 분쇄기용 테이블 라이너의 굽힘 피로강도의 실험적 조사)

  • Baek, Seok-Heum;Lee, Kyung-Young;Cho, Seok-Swoo;Jang, Deuk-Yul;Joo, Won-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1214-1220
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    • 2007
  • The vertical roller mill, which performs the grinding and partly blending of raw material, is the one of the important machine to produce ordinary portland cement. It has been reported that an unexpected fatigue failure occurred in a table liner in the course of grinding portland cement. The life of table liner is estimated to $4{\times}10^7$ cycles in the design stage, but at the field, when its operating time reaches to $2{\times}10^6{\sim}8{\times}10^6$ cycles, the fracture of table liner begins to be found. The fracture of table liner is initiated from the outside edge of grinding path contacting with the grinding roller. Its maintenance normally take 30 % of the total maintenance costs of the roller mill. Therefore, this study shows the clarification of the reasons occurring the fatal destruction of the table liner by fatigue fracture analysis utilizing fracture mechanics and by the finite element method. And, the results from Goodman diagram illustrate relationship of including information on the transition between tensile and bending fatigue strength in the fatigue characterization of table liner.

Geometrical study of the tooth fillet of the automotive transmission gear (자동차 변속기용 치차의 fillet부분에 대한 기하학적 고찰)

  • 서용권
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.1
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    • pp.27-31
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    • 1981
  • 대량생산체제로 제작되는 자동차용 변속기는 일단 양산에 돌입하고부터는 막대한 retooling비 용의 지불없이는 좀처럼 그 모양이나 중요설계치수가 변경될 수 없기 때문에, 초기설계단계에 서의 다양하고 신중한 고려가 그 후의 어느 단계보다 중요하다. 자동차용 변속기의 치차설계자는 치차상의 주어진 공간내에서 가장 튼튼하고 소리없는 치차를 설계하기 위하여 모듈(module), 압력각, 치깊이 등이 표준에서 벗어나는 특수 cutter를 사용하도록 요구할 수밖에 없다(이러한 비표준 cutter의 제작을 위해서는 다소 더 많은 시간과 경비가 소요될지 모르지만, 이 문제는 양산체제의 특수성 속에 충분히 소화흡수된다). 표준치차의 경우에는 대부분의 설계 데이터가 테 이블이나 그래프로 주어져 있지만 모듈, 압력각, 치깊이 등이 표준에서 벗어나는 치차에 있어서는 이것들을 별도로 계산하지 않으면 안된다. 더욱이 세계자동차 메이커가 소형화와 경량화로 치 닫고 있는 현 추세에 있어서는 더욱 정밀한 계산에 의한 데이터가 요구될 것이다. 본 보고서는 임의의 cutter를 사용하여 절삭한 치차의 fillet 부분에 있어서 fillet 곡선의 함수를 구하고 이 것으로부터 lewis방식의 굽힘강도계산식(대부분의 굽힘강도 계산식이 lewis 이론에 입각한 것이긴 하지만)에 사용되는 강도계 수를 approach 법으로 구하는 방법과 계산공식에 대하여 서술한 것이다. 여기서 취급하는 굴절법은 hobbing cutter 등에 의한 rack형 굴절법이다.

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Mechanical characteristics of involute-circular arc composite tooth profile (인벌류우트-圓弧 合成齒形의 諸特性)

  • 변준형;최상훈;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.6
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    • pp.870-875
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    • 1986
  • In this study, full-rounded tip curve of rack and its mating fillet curve of pinion in Involute-circular arc composite tooth profile are derived. Mechanical characteristics are calculated analytically, i.e., Specific sliding, Nominal bending stress at working root circle and the Contact factor of the arc of contact in circular arc part to the arc of double contact. These characteristics compared with standard involute tooth profile are improved in circular arc part of composite tooth profile. To obtain more efficient composite tooth profile, we studied these characteristics with regard to the changes of unwound angle and radius of circualr arc. And a design method of composite tooth profile is suggested. Composite tooth profile are compared with standard involute tooth profile.

Development of Design Formulas for Pipe Loops Used in Ships Considering the Structural Characteristics of Curved Portions (곡선부의 구조 특성을 고려한 선박용 파이프 루프 설계식 개발)

  • Park, Chi-Mo;Bae, Byoung-Il
    • Journal of Ocean Engineering and Technology
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    • v.26 no.5
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    • pp.87-93
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    • 2012
  • Many longitudinally-arranged pipes in ships are equipped with loops as a measure to reduce stresses caused by displacement loads conveyed from the hull girder bending and/or thermal loads of carried fluid of non-ambient temperature. But as the loops have some negative effects such as causing extra manufacturing cost and occupying extra space, the number and the dimensions of the loops need to be minimized. In the meanwhile, a design formula for pipe loops has been developed by modeling them as a spring element of which stresses and axial stiffness are calculated based on the beam theory. But as the beam theory turns out to be inappropriate to deal with the complex structural behavior in the curved corner portion of the loop, this paper aims at improving the previously developed design formula by adopting correction factors which can allow for the gap between the results of beam theory and a more accurate analysis. This paper adopts a finite element analysis with two-dimensional shell elements with some validation work for it. The paper ends with a sample application of the proposed formulas showing their accuracy and efficiency.