• 제목/요약/키워드: Axisymmetric model

검색결과 435건 처리시간 0.031초

단일 숏 충돌에서의 잔류응력 유일해를 위한 2차원 유한요소해석 모델 (A 2D FE Model for a Unique Residual Stress in Single Shot Impact)

  • 김태형;이형일
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.183-188
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    • 2007
  • In this paper, we propose a 2D-FE model in single impact with combined physical factors to obtain a unique residual stress by shot peening. Applied physical parameters include elastic-plastic deformation of shot ball, material damping coefficients, strain rate, dynamic friction coefficients. Single impact FE model consists of 2D axisymmetric elements. The FE model with combined factors showed converged and unique distributions of surface stress, maximum compressive residual stress and deformation depth. Further, in contrast to the FE models with rigid shot and elastic deformable shot, FE model with plastic deformable shot produces residual stresses very close to experimental solutions by X-ray diffraction. We therefore validated the 2D FE model with combined peeing factors and plastic deformable shot. This FE model will be a base of the 3D FE model for residual stresses by multi-impact shot peening.

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2-방정식 및 레이놀즈 응력 모형을 이용한 초음속 난류 기저유동의 수치적 계산 (Computation of supersonic turbulent base flow using two-equation and Reynolds stress models)

  • 김민환;박승오
    • 한국전산유체공학회지
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    • 제2권2호
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    • pp.9-17
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    • 1997
  • The performance of several turbulence models in computing an axisymmetric supersonic base flow is investigated. A compressible Navier-Stokes code, which incorporates k-ε, k-ω model and Reynolds stress closure with three kinds of pressure-strain correlation model, has been developed using implicit LU-SGS algorithm with second-order upwind TVD scheme. Numerical computations have been carried out for Herrin and Dutton's base flow. It is observed that the two-equation models give large backward axial velocity approaching to the base and somewhat larger variation of base pressure distribution than the Reynolds stress model. It is also found that the Reynolds stress model with third order pressure-strain model in the anisotropy tensor predicts most accurate mean flow field.

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지진하중을 받는 축대칭 프리스트레스트 쉘 구조물의 동적해석 (Dynamic Analysis of Axisymmetric Prestressed Shell Structures Subjected to Seismic Excitations)

    • 한국지진공학회논문집
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    • 제2권4호
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    • pp.11-22
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    • 1998
  • 본 논문에서는 축대칭 쉘 구조물에서 자오방향과 주변방향의 프리스트레스하중이 작용될 경우에 대한 수학적 모델링을 구하였고 이에 대한 프로그램화를 통하여 지진하중을 주하중으로 한 동적해석을 실시하였다 이때 기하학적으로 축대칭인 구조믈의 특성을 최대한으로 이용할 수 있도록 쉘을 링요소로 모델링하였으며 기하학적 비선형관계식에 의하여 동적 모형식을 유도하였다 프로그램을 통하여 해석한 결과를 프리스트레스하중 하에서 고유진동수에 대한 정해와 비교한 결과 20개정도의 링요소로 모델링하였으며 기하학적 비선형관계식에 의하여 동적 모혀식을 유도하였다 프로그램을 통하여 해석한 결과를 프리스트레스하중 하에서 고유진동수에 대한 정해와 비교한 결과 20개정도의 링요소로 모델링한 경우 에서도 정해와 근접한 해를 얻을 수 있어더 또한 지진하중에 대한 반경방향의 처짐을 해석한 결과 동일 한 크기의 프리스트레스하중이 작용될 때 자오방향의 프리스트레스하중이 작용될경우가 다소 큰 처짐값을 나타내었다 본 연구를 통하여 개발된 모델은 지진하중 하에서의 축대칭 구조물에 대하여 3차원 구조해석을 실시하지 않아도 정해에 근접한 해석결과를 얻을 수있어 설계실무에 크게 활용될수 있을 것이다.

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축대칭 문제에서의 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems)

  • 이성희;심우진
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.207-216
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    • 2003
  • 본 논문에서는 균열을 지닌 축대칭 문제를 해석하기 위하여 시간적분형 운동방정식을 바탕으로 한 유한요소 해법을 제시한다. 유한요소메쉬는 8절점 등매개변수 사변형 요소와 균열선단에서의 1/4절점 삼각형 특이요소로 구성되며, 동적 응력확대계수는 균열면상의 1/4절점의 y방향 변위로부터 구한다. 제시된 해법의 정확성과 타당성을 검증하기 위하여 내부에 원환균열을 지닌 무한 탄성체가 균열면상에서 충격하중을 받을 때의 동적 응력확대계수를 계산하고 타 수치결과와 비교 검토하였다. 응용 예제로서 원환균열과 원주균열을 지닌 중실축과 중공축의 동적 응력확대계수를 균열의 길이와 축의 길이에 따른 영향을 자세히 조사하였다. 균열길이가 커지면 동적 응력확대계수가 커지고, 축의 길이가 길어지면 동적 응력확대계수 곡선의 폭도 함께 증가됨을 확인하였다. 그리고 균열의 위치가 안쪽에 포함될 경우보다는 바깥쪽에 포함될 때 더 큰 동적 응력확대계수가 발생됨을 밝힌다.

탄성지반상에 놓인 철근콘크리트 축대칭 쉘의 정적 및 동적 해석(II) -축대칭 쉘의 동적 응답 해석을 중심으로 - (Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation -With Application to the Dynamic Response Analysis of Axisymmetric Shell-)

  • 조진구
    • 한국농공학회지
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    • 제38권5호
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    • pp.74-84
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    • 1996
  • Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. For developing a program to analyze the dynamic response of an axisymmetric shell in this study, the material nonlinearity effect on the dynamic response was formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion was numerically solved by a central difference scheme. A complete finite element program has been developed and the results obtained by it are compared with those in the references 1 and 2. The results are in good agreement with each other. As a case study of its application, the developed program was applied to a dynamic response analysis of a nuclear reinforced concrete containment structure. The results obtained from the' numerical examples are summarized as follows : 1. The dynamic magnification factor of the displacement and the stress were unrelated with the concrete strength. 2. As shown by the results that the displacement dynamic magnification factor were form 1.7 to 2.3 and the stress dynamic magnification factor from 1.8 to 2.5, the dynamic magnification factor of stress were larger than that of displacement. 3. The dynamic magnification factor of stress on the exterior surface was larger than that on the interior surface of the structure.

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Grain Growth Revealed by Multi-wavelength Analysis of Non-axisymmetric Substructures in the Protostellar Disk WL 17

  • Han, Ilseung;Kwon, Woojin;Aso, Yusuke
    • 천문학회보
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    • 제45권1호
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    • pp.59.2-59.2
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    • 2020
  • Disks around protostars are the birthplace of planets. The first step toward planet formation is grain growth from ㎛-sized grains to mm/cm-sized grains in a disk, particularly in dense regions. In order to study whether grains grow and segregate at the protostellar stage, we investigate the ALMA Band 3 (3.1 mm) and 7 (0.87 mm) dust continuum observations of the protostellar disk WL 17 in ρ Ophiuchus L1688 cloud. As reported in a previous study, the Band 3 image shows substructures: a narrow ring and a large central hole. On the other hand, the Band 7 image shows different substructures: a non-axisymmetric ring and an off-center hole. The two-band observations provide a mean spectral index of 2.3, which suggests the presence of mm/cm-sized large grains. Its non-axisymmetric distribution may imply dust segregation between small and large grains. We perform radiative transfer modeling to examine the size and spatial distributions of dust grains in the WL 17 disk. The best-fit model suggests that large grains (>1 cm) exist in the disk, settling down toward the midplane, whereas small grains (~10 ㎛) well mixed with gas are distributed off-center and non-axisymmetrically in a thick layer. The low spectral index and the modeling results suggest that grains rapidly grow at the protostellar stage and that grains differently distribute depending on sizes, resulting in substructures varying with observed wavelengths. To understand the differential grain distributions and substructures, we discuss the effects of the protoplanet(s) expected inside the large hole and the possibility of gravitational instability.

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토리구형 돔 형상을 갖는 연소관의 치수 최적화 설계 연구 (A Study on Size Optimization for Rocket Motor with a Torispherical Dome)

  • 최영귀;신광복;김원훈
    • 대한기계학회논문집A
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    • 제34권5호
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    • pp.567-573
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    • 2010
  • 본 연구에서는 토리구형 돔 형상을 갖는 연소관의 치수 최적화를 통한 경량화와 구조 안전성을 평가하였다. 치수최적화 설계는 빠른 설계 검증을 위하여 볼트의 단면적 비가 고려된 2차원 축대칭 유한요소 모델을 이용하여 수행하였다. 이때, 해석 프로그램은 ANSYS APDL(Ansys Parameter Design Language)을 이용하였고, 해석법은 sub-problem법과 first-order법을 선택하여 수행하였다. 설계 변수로는 연소관의 돔과 실린더 부위의 두께를 선정하였다. 수정된 2차원 축대칭 유한요소 모델은 3차원 유한요소 모델과의 결과 비교를 통하여 신뢰성을 확인하였고, 초기설계 단계에서 수정된 2차원 축대칭 유한요소 모델을 이용하여 연소관의 구조 안전성 평가와 빠르고 정확한 경량화 설계를 수행할 수 있었다. 연소관의 안전계수에 따른 최적화 해석 결과 최대 17.6%의 무게 절감 효과를 확인하였다.

텅스텐 중합금의 부피분율, 입자형상에 따른 단열전단밴드 형성 연구 (The Effects of Volume Ratio and Shape on the Formation of Adiabatic Shear Band in WHA)

  • 이승우;송흥섭;문갑태
    • 소성∙가공
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    • 제11권8호
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    • pp.682-690
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    • 2002
  • The formation of adiabatic shearband in tungsten heavy alloys(WHA) was studied in this investigation. Five prismatic specimens were loaded by high velocity impacts and treated as plane strain problems. To find out the effect of particle's volume ratio, specimens containing 81%, 93% and 97% volume percents of tungsten particles were used. Also the effects of particle's geometry and size on the formation of shearband were studied for 81% volume percent alloys by small size particle model, large size particle model and undulated particle models, and the results were discussed.be used to diagnose the causes of necking and fracture in industrial practice and to investigate whether these defects were caused by material property variation, changes in lubrication, or incorrect press settings. In non-axisymmetric deep drawing, three modes of forming regimes are found: draw, stretch, plane strain. The stretch mode for non-axisymmetric deep drawing could be defined when the major and minor strains are positive. The draw mode could be defined when the major strain is positive and minor strain is negative, and plane strain mode could be defined when the major strain is positive and minor strain is zero. Through experiments the draw mode was shown on the wall and flange are one of a drawn cup, while the plane strain and the stretch mode were on the punch head and the punch corner area respectively, We observed that the punch load of elliptical deep drawing was decreased according to increase of die corner radius and the thickness deformation of minor side was more large than major side.

유한요소분석법을 이용한 치근형 임플랜트의 응력분포에 관한 연구 (A STUDY ON THE STRESS ANALYSIS OF THREE ROOT-FORM IMPLANTS WITH FNITE ELEMENT ANALYSIS)

  • 문병화;양재호
    • 대한치과보철학회지
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    • 제31권1호
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    • pp.129-150
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    • 1993
  • Since the restoration or masticatory function is the most important aim of implants, it should be substituted for the role of natural teeth and deliver the stress to the bone under the continous load during function. In natural teeth, stress distribution can be obtained through enamel, dentin and cementum and the elasticity of the periodontal ligament play a role of buffering action. In contrast, implant prosthesis has a very unique characteristics that it delvers the load directly to bone through the implant and superstructure. This fact arise the needs to evaluate the stress distribution of the implant in the mechnical aspects, which has a similar role of natural teeth but different pathway of stress. With 3 kinds of implant in prevalent use, 2 types of experimental PEA implant models were made, axisymmetric and 2-dimensional type. In axisymmetric model, the stiffness of the part including the prosthesis and implant which extrude out of bony surface could be calculated with displacement of the superstructure un er 100N vertical load and then damping effects could be determined through this stiffness. In axisymmetric FEA model, load to the bone could be deduced by evaluation the stress distribution of the designed surface under the 100N vertical force and in 2-dimensional model, 100N eccentric vertical load and 20N horizontal loda. The result are as follows. 1. In every implant, stress to the bone tends to be concenturated on the cortical bone. 2. Though the stress of the cancellous bone is larger at the apex of implants, it is less compared with cortical bone. 3. Under 20N horizontal load, stress of the left and right sides of implant shows a symmetrical pattern. But under 100N eccentric vertical load, loaded side shows much larger stress value. 4. In the 1mm interface, stress distribution among implants tend to have a similar pattern. But under 20N horizontal load apposite side of being loaded shows less stress in IMZ. 5. In the case of screw type implant, stress tends to vary along with screw shape. 6. According to the result determined with microstrain, cancellous bone id generally under the condition of overload, while cortical bone is usually within the limitation of physiologic load. 7. In the Branemark implant, maximum stress to the cortical bone is larger than any other implant except for the condition of 20N horizontal force and 0.05mm interface. 8. Damping effects of implants is maximum in IMZ.

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MULTI-HARMONIC MODELS FOR BUBBLE EVOLUTION IN THE RAYLEIGH-TAYLOR INSTABILITY

  • Choi, Sujin;Sohn, Sung-Ik
    • 대한수학회지
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    • 제54권2호
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    • pp.663-673
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    • 2017
  • We consider the multi-harmonic model for the bubble evolution in the Rayleigh-Taylor instability in two and three dimensions. We extend the multi-harmonic model in two dimensions to a high-order and present a new class of steady-state solutions of the bubble motion. The growth rate of the bubble is expressed by a continuous family of two free parameters. The critical point in the family of solutions is identified as a saddle point and is chosen as the physically significant solution. We also present the multi-harmonic model in the cylindrical geometry and find the steady-state solution of the axisymmetric bubble. Validity and limitation of the model are also discussed.