• 제목/요약/키워드: Axisymmetric Finite Element

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축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용 (Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems)

  • 신호성;김진욱
    • 한국지반공학회논문집
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    • 제36권12호
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    • pp.27-34
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    • 2020
  • 구조물에 대한 축대칭 쉘요소는 지반과 구조물의 상호작용에 대한 유한요소해석에서 효율성과 정확성을 높이게 된다. 본 논문에서는 Kirchhoff 이론에 근거한 축대칭 쉘요소의 힘평형 방정식과 모멘트 평형 방정식을 유도하였다. 축방향 변형에 대한 지배방정식은 등매개변수 형상함수를 이용한 Galerkin 수식화를 수행하고, 휨에 대한 지배방정식은 고차의 형상함수를 이용하였다. 개발된 축대칭 쉘요소는 지반과의 연계해석을 위하여 지반해석 유한요소 프로그램인 Geo-COUS에 결합하였다. 원형판과 액체 저장 탱크에 대한 예제해석을 통하여 개발된 요소의 정확성을 확인하였다. 그리고 축대칭 쉘요소에 대한 에너지 평형방정식을 제시하였다.

Application of graded harmonic FE in the analysis of 2D-FGM axisymmetric structures

  • Karakas, Ali I.;Daloglu, Ayse T.
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.473-494
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    • 2015
  • A graded harmonic finite element formulation based on three-dimensional elasticity theory is developed for the structural analysis of 2D functionally graded axisymmetric structures. The mechanical properties of the axisymmetric solid structures composed of two different metals and ceramics are assumed to vary in radial and axial directions according to power law variations as a function of the volume fractions of the constituents. The material properties of the graded element are calculated at the integration points. Effects of material distribution profile on the static deformation, natural frequency and dynamic response analyses of particular axisymmetric solid structures are investigated by changing the power law exponents. It is observed that the displacements, stresses and natural frequencies are severely affected by the variation of axial and radial power law exponents. Good accuracy is obtained with fewer elements in the present study since Fourier series expansion eliminates the need of finite element mesh in circumferential direction and continuous material property distribution within the elements improves accuracy without refining the mesh size in axial and radial directions.

등가상수를 이용한 벤트레이트 디스크의 축대칭 온도 해석 (Axisymmetric Temperature Analysis of Ventilated Disk using Equivalent Parameters)

  • 여태인
    • 한국자동차공학회논문집
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    • 제11권1호
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    • pp.137-142
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    • 2003
  • In automotive brake systems, the frictional heat generated can cause high temperature at the interface of rotor and pad which may deteriorate the material properties of the sliding parts and can result in brake fade. Conventionally, a pie-shaped 3-dimentional model is adopted to calculate temperature of ventilated disk using finite element method. To overcome the difficulties in preparing 3D finite element model and reduce the computational time required, the ventilated rotor is to be analyzed, in this study, as an axisymmetric finite element model in which, taking into considerations the effects of cooling passages, a homogenization technique is used to obtain the equivalent thermal properties and boundary conditions for the elements placed at the vent holes. Numerical tests show the proposed procedure can be successfully applied in practice, replacing 3-dimensional thermal analysis of ventilated disk.

축대칭 벌징형 하이드로포밍 공정에 대한 이론 및 실험적 연구 (Theoretical and Experimental Study of the Axisymmetric Fluid Pressure-Driven Hydroforming Process)

  • 양동열;최선준;정완진
    • 한국정밀공학회지
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    • 제7권2호
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    • pp.28-38
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    • 1990
  • The study is concerned with the theoretical and experimental investigation of axisymmetric fluid pressure-driven hydroforming of sheet metal by forming over the die cavity. The rigid-plastic finite element method is employed to calculate the stress and strain distribution. The effect of blank size and die radius is also studied in the finite element analysis. Experiments are carried out for hydroforming of cold-rolled steel sheets under various process conditions. The computational results are compared with the experimental results for the forming pressure vs. pole displacement relations and strain distributions. Comparison has shown that theoretical predictions by the finite element method are in good agreement with the experiment with the experimental observations. Thus, it is shown that the rigid-plastic finite element method is effectively used in the analysis of axisymmetric fluid pressure-driven hydroforming process.

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비축대칭 압출 공정의 근사 3차원 유한 요소 해석 (A Simplified Three-Dimensional Finite Element Analysis of the Non-axisymmetric Extrusion Process)

  • 신현우;김동원;김낙수
    • 소성∙가공
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    • 제1권1호
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    • pp.52-65
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    • 1992
  • In this study a new simplified three-dimensional numerical method and the associated computer program have been developed to simulate the non-axisymmetric extrusion processes. The two-dimensional rigid-plastic finite element method under the generalized plane-strain condition is combined with the slab method. To define the die geometry for a non-axisymmetric extrusion. area mapping technique was used. Streamlined die surface was used to minimize the total extrusion pressure. Extrusion of square, hexagonal and 'T' section from round billet have been simulated and experimented with a model material. The computed results were in good agreement with the experiments in cross-sectional grid distortion. Computational results will be valuable for designing tool geometries and corresponding processes.

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유한요소법을 이용한 축대칭 다단계 딥드로잉 금형 설계 해석 (Axisymmetric Multi-Stage Deep Drawing Dies Design Analysis Using Finite Element Method)

  • 이동호;금영탁
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 제2회 박판성형심포지엄 논문집 박판성형기술의 현재와 미래
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    • pp.65-73
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    • 1998
  • The design analysis of axisymmetric, multi-stage deep drawing dies was performed using the rigid-viscoplastic finite element formulation. In the formulation, the axisymmetric CFS algorithm was employed. Hill's non-quadratic normal anisotropic yield criterion and isotropic hardening rule were considered. For trial initial displacements and tool contact points, the geometric force equilibrium method was adopted. In order to see the validity of the formulation, the multi-stage deep drawing processes of shell-cylinder front part of hydraulic booster were simulated. The simulation showed good agreements with measurements and PAM-STAMP.

판재성형 정적해석에서 유한요소의 영향에 대한 비교연구 (A Comparative Study on Effect of Finite Element in Static Analysis of Sheet Metal Forming)

  • 윤용석;박종진
    • 소성∙가공
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    • 제9권1호
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    • pp.17-26
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    • 2000
  • A series of parametric study was performed for the investigation on the influence of analysis parameters to the solution behavior in the elastic-plastic-static analysis of several sheet metal forming processes, such as deflection by a point force under plane strain and axisymmetric conditions, plane strain bending by a punch, axisymmetric stretching by a punch, axisymmetric bulging by hydraulic pressure, and axisymmetric deep drawing by a punch. The parameters considered are kind of element, number of elements, integration scheme for elemental equation and friction coefficient. Results obtained for different selections of those parameters were compared with each other, experimental measurements and analytical solution.

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축대칭 문제에서의 동적 응력집중 해석 (Numerical Analysis of Dynamic Stress Concentrations in Axisymmetric Problems)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2364-2373
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    • 2002
  • In this paper, the finite element equations for the time-domain numerical analysis of transient dynamic axisymmetric problems are newly presented. which are based on the equations of motion in convolution integral as in the previous paper. A hollow cylinder subjected to a sudden internal pressure is solved first as a benchmark problem and then the dynamic stress concentrations are analyzed in detail far hollow cylinders having inner and outer circumferential grooves subjected to sudden internal or axial loadings, all the computed results are compared with the existing or the computed ones obtained by using the commercial finite element packages Nastran and Ansys to show the validity and capability of the presented method.

유한요소법을 이용한 다단계 디프 드로잉 공정에 관한 연구 (A Study on Multi-stage Deep Drawing Processes Using Finite Element Method)

  • 최병화;민동균;박태종
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.1021-1025
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    • 2002
  • There have been many researches performed on the formability of axisymmetric or rectangular cup shapes in the deep drawing processes. But non-axisymmetric deep drawing processes rely upon empirical knowledge of experts in most cases. Especially, there have been few researches for multi-stage elliptical deep drawing processes. In this study, formability and thickness distributions of elliptical yoke products were predicted by using finite element analysis. The results of the analysis were compared with those of experiments for validity.

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Finite Element Modeling of Wall Thinning Defects: Applications to Lamb Wave Generation and Interaction

  • Jeong, Hyun-Jo;Kim, Tae-Ho;Lee, Seung-Seok;Kim, Young-Gil
    • 비파괴검사학회지
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    • 제28권2호
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    • pp.199-204
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    • 2008
  • The generation of axisymmetric Lamb waves and interaction with wall thinning (corrosion) defects in hollow cylinders are simulated using the finite element method. Guided wave interaction with defects in cylinders is challenged by the multi-mode dispersion and the mode conversion. In this paper, two longitudinal, axisymmetric modes are generated using the concept of a time-delay periodic ring arrays (TDPRA), which makes use of the constructive/destructive interference concept to achieve the unidirectional emission and reception of guided waves. The axisymmetric scattering by the wall thinning extending in full circumference of a cylinder is studied with a two-dimensional FE simulation. The effect of wall thinning depth, axial extension, and the edge shape on the reflections of guided waves is discussed.