• Title/Summary/Keyword: 상계해석

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Upper Bound Analysis for Forging of Circular Gears (원호 기어의 단조 상계해석)

  • 조해용;최재찬;최종웅;민규식;박형진
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.761-765
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    • 1996
  • This paper describes the forging of circular tooth profiled gears as a series of development of simulator for non-axisymmetric parts that being used at the pump pulley, timing belt pulley etc. in automobiles. The half pitch of gear is divided into 6 deformation regious and kinematically admissible velocity fields for those regions are proposed. The neutral surface is introduced torepresent inner flow of material during forging operation with flat punch and, for each step, it is assumed as a circle. The upper bound solutions obtained from the suggested kinematically admissible velocity fields are in good agreement with experimental results and they are useful to predict the capacity of forging press for forging of circular gears.

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An Upper-Bound Analysis of the Square-Die Forward Extrusion of Regular Polygonal-Shaped Tubes from hollow-Cylindrical Billets at Final Stage (중공 원형 소재로부터 다각형 튜브 제품의 평금형 전방 압출에 대한 최종단계의 상계해석)

  • Kim, Dong Kwon;Cho, Jong Rae;Bae, Won Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.91-97
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    • 1995
  • In this study, a deformation model for the regular polygonal-shaped tubes from hollow-cylindrical billets is proposed and a kinematically admissible velocity field is obtained from this deformation model. The final stage upper-bound extrusion load and the average extruded length are determined by minimizing the total power consumption with respect to chosen parameters. 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 agreement in average extruded height between theory and experiment.

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A Study on the Asymmetric Forging Process Using Building Block Method (빌딩블럭 방법을 이용한 비대칭 단조 공정에 관한 연구)

  • J.H.Lee
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.2
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    • pp.117-125
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    • 1997
  • 상계요소 해석(UBET) 프로그램은 비대칭 단조공정에서의 다이 충만과정과 단조 하중등을 예측하기 위하여 개발되었다. 보다 용이하게 단조 공정을 해석하기 위하여 비대칭 형상의 단조공정을 평면변형부(길이 부분)과 축대칭변형부(라운딩 부분)으로 나누었다. 평면변형부와 축대칭 변형부의 경계는 전단에너지를 고려하여 결합하는 빌딩 블록 방법(building block method)을 이용하였다. 그리고 본 연구의 비대칭 형상을 단조하는데 최적의 초기시편 형상으로 아령형의 시편(dumbbell-typed billet)을 제시하였다. 또한 실험은 상온에서 플라스티신을 사용하여 수행되었고 수치해석 결과와 실험결과는 비교적 잘 일치하였다.상계요소 해석(UBET) 프로그램은 비대칭 단조공정에서의 다이 충만과정과 단조 하중등을 예측하기 위하여 개발되었다. 보다 용이하게 단조 공정을 해석하기 위하여 비대칭 형상의 단조공정을 평면변형부(길이 부분)과 축대칭변형부(라운딩 부분)으로 나누었다. 평면변형부와 축대칭 변형부의 경계는 전단에너지를 고려하여 결합하는 빌딩 블록 방법(building block method)을 이용하였다. 그리고 본 연구의 비대칭 형상을 단조하는데 최적의 초기시편 형상으로 아령형의 시편(dumbbell-typed billet)을 제시하였다. 또한 실험은 상온에서 플라스티신을 사용하여 수행되었고 수치해석 결과와 실험결과는 비교적 잘 일치하였다.

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Bearing Capacity Factor of Shallow Foundation in Undrnined Clay Using the Diagrammatic Upper and Lower Bound Methods (도식적 상.하계법을 이용한 비배수 점토지반에서 얕은 기초의 지지력계수)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.27 no.5
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    • pp.45-59
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    • 2011
  • This study introduces the diagrammatic Upper and Lower Bound (UB and LB) methods theoretically in order to derive the bearing capacity factor, $N_c$ in undrained clay and to compare with Prandtl's exact solution (1921). As a result of the theoretical study, an exact solution comes out when the UB and LB solutions are the same. In addition, the finite element analyses show that the failure loads approach to the bearing capacity factor of 5.14. Results of the FEA significantly depend on the finite element type, a number of elements, and a number of increments. From this study the exact solution defines that solutions from UB and LB are the same. However, this situation is very difficult to process, so we can confirm the exact solution as a range between UB and LB solutions.

Upper Bound Analysis of Dynamic Buckling Phenomenon of Circular Tubes Considering Strain Rate Effect (변형률 속도를 고려한 원형 튜브의 동적 좌굴 현상의 상계 해석에 관한 연구)

  • Park, Chung-Hee;Ko, Youn-Ki;Huh, Hoon
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.711-716
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    • 2008
  • A circular tube undergoes bucking behavior when it is subjected to axial loading. An upper bound analysis can be an attractive approach to predict the buckling load and energy absorption efficiently. The upper bound analysis obtains the load or energy absorption by means of assumption of the kinematically admissible velocity fields. In order to obtain an accurate solution, kinematically admissible velocity fields should be defined by considering many factors such as geometrical parameters, dynamic effect, etc. In this study, experiments and finite element analyses are carried out for circular tubes with various dimensions and loading conditions. As a result, the kinematically admissible velocity field is newly proposed in order to consider various dimensions and the strain rate effect of material. The upper bound analysis with the suggested velocity field accurately estimates the mean load and energy absorption obtained from results of experiment and finite element analysis.

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The Effects of the Process and Die Design for Precision Forging of Al Alloys (AI 합금 정밀단조를 위한 금형설계 및 공정조건의 영향)

  • Lee, Young-Seon;Lee, Jung-Hwan
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.11
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    • pp.166-173
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    • 1999
  • Al forged parts are many cases with rib-web section which is difficult to manufacture precisely. Therefore, process conditions must be optimized for precision forging of Al alloys. In this study, various process parameters such as die design, lubricant, ram speed, forging temperature have been investigated using the experiment, upper bound theory and F.E.M. simulation to develop the precision forging technology for rib-web shape component. When lubricant is applied to both material and die, shear friction factor is 0.1 which shows best effect of lubricant. It is specific corner radius of die that minimized forging load regarding process conditions, especially according to the ratio of the width of rib and web. In conclusion, optimum corner radius is 2~3mm when the width of rib and web is 3mm and 20mm respectively.

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An Upper-Bound Analysis for Closed-Die Forging of the Involute Spur Gears with Circular Arc Fillet (원호필렛-인벌류트 스퍼어 기어의 밀폐단조에 관한 상계해석)

  • Choi, J.C.;Hur, K.D.;Kim, C.H.;Choi, Y.
    • Transactions of Materials Processing
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    • v.3 no.1
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    • pp.97-109
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    • 1994
  • Closed-die forging of the spur gears with circular are fillet has been analyses by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, the tooth profile consists of the involute curve and the circular arc fillet. In the analysis, the deformation regions have been divided into eight zones. A constant frictional stress has been assumed on the contacting surfaces Utilizing the formulated velocity field, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor, on the relative forging pressure of spur gears. As the result of numerical calculations, the relative forging pressure does not change so much against the variation of module. On the other hand, the relative forging pressure increases at the final filling stage as the addendum modification coefficient increases.

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Numerical Modelling on the Strength of Reinforced Concrete Simple-Continuous Deep Beams with Openings by an Upper-Bound Theorem (상계치 이론을 이용한 개구부를 갖는 철근콘크리트 단순·연속 깊은 보 내력의 수치해석 모델)

  • Yang, Keun-Hyeok;Eun, Hee-Chang;Chung, Heon-Soo
    • Journal of the Korea Concrete Institute
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    • v.18 no.4 s.94
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    • pp.469-477
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    • 2006
  • Models to predict the ultimate strength of simply supported or continuous deep beams with web openings are proposed. The derived equations are based on upper-bound theorem. The concrete is assumed as a perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cutoff. Reinforcing bar is considered as elastic-perfectly plastic material and its stress is calculated from the limiting principal compressive strain of concrete. The governing failure mechanisms based on test results are idealized as rigid moving blocks separated by a hyperbolic yield line. The effective compressive strength of concrete is calculated from the formula proposed by Vecchio and Collins. Comparisons with existing test results are performed, and they show good agreement.

Analysis of the Stress Generated during Phase Boundary Movement in Pure and $Co(OH)_2$ Incorporated $Ni(OH)_2$ Film Electrodes Using Laser Beam Deflection and Current Transient Techniques (레이져 빔 반사법과 전류 천이법을 이용한 순수한 니켈 수산화물과 코발트가 포함된 니켈 수산화물 전극에서 상계면 이동시 발생되는 응력 해석에 대한 연구)

  • 김광훈;변수일;한정남
    • 한국전기화학회:학술대회논문집
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    • 1999.10a
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    • pp.49-49
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    • 1999
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Assessment of Ultimate Bearing Capacity for an Embedded Wall by Closed-Form Analytical Solution (근사적인 해석법에 의한 근입된 벽체의 극한지지력 평가)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.22 no.9
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    • pp.23-36
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    • 2006
  • This study presents the development of a new closed-form analytical solution for the ultimate bearing capacity of an embedded wall in a granular mass. The closed-form analytical solution consists of upper and lower bound solutions (UB and LB). The calculated values from these bound solutions were compared with the author's two-dimensional laboratory wall model loading test and finite element analysis in the plastic region. The comparison showed that ultimate bearing loads from both the model test and finite element analysis are located between UB and LB. In particular, the ultimate bearing load from LB showed good agreement with the ultimate bearing load values from both the model test and finite element analysis. However, the calculated value from the conventional empirical form subjected to plane-strain conditions was shown to be much smaller than the LB.