• Title/Summary/Keyword: 3D finite element

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Nonlocal integral elasticity analysis of beam bending by using finite element method

  • Taghizadeh, M.;Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • 제54권4호
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    • pp.755-769
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    • 2015
  • In this study, a 2-D finite element formulation in the frame of nonlocal integral elasticity is presented. Subsequently, the bending problem of a nanobeam under different types of loadings and boundary conditions is solved based on classical beam theory and also 3-D elasticity theory using nonlocal finite elements (NL-FEM). The obtained results are compared with the analytical and numerical results of nonlocal differential elasticity. It is concluded that the classical beam theory and the nonlocal differential elasticity can separately lead to significant errors for the problem under consideration as distinct from 3-D elasticity and nonlocal integral elasticity respectively.

인체 족부 근골격계 상세 유한요소모델링을 통한 족저압 해석 (Pressure Analysis of the Plantar Musculoskeletal Fascia Using a Fine Finite-Element Model)

  • 전성모;김철
    • 대한기계학회논문집A
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    • 제35권10호
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    • pp.1237-1242
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    • 2011
  • 족저부의 압력 분포를 해석하기 위하여 인체에 근접한 족부 상세 해석용 모델을 개발하였다. 이 상세 해석용 모델은 족부의 단층촬영 영상(CT scan image)으로부터 밀도 차이에 따라서 골격부와 피부 및 피하조직을 각각 3D CAD 모델로 변환한 후에 결합하여 구성하였며, 근육과 뼈, 피부 모두를 반영한 3D 족부 유한요소해석 모델로 개발하였다. 개발된 3D 족부 유한요소모델에 대하여 NASTRAN의 접촉해석을 수행하여 족저압의 분포를 계산하였으며, 이러한 결과는 균일분포압력을 작용시키는 당뇨병 환자용 신발 설계의 기초 자료로 활용될 수 있다.

A Equivalent Finite Element Model of Lamination for Design of Electromagnetic Engine Valve Actuator

  • Kim, Jin-Ho
    • Journal of Magnetics
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    • 제11권4호
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    • pp.151-155
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    • 2006
  • The electromagnetic engine valve actuator is a key technology to achieve variable valve timing in internal combustion engine and the steel core and clapper of the electromagnetic engine valve actuator are laminated to reduce the eddy current loss. To design and characterize the performance of the electromagnetic engine valve actuator, FE (finite element) analysis is the most effective way, but FE (finite element) 3-D modeling of real lamination needs very fine meshes resulting in countless meshes for modeling and numerous computations. In this paper, the equivalent FE 2-D model of electromagnetic engine valve actuator is introduced and FE analysis is performed using the equivalent FE 2-D model.

3-D Analysis of Core Material Effects of Motors on Torque and Iron Loss Characteristics

  • Kawase Yoshihiro;Yamaguchi Tadashi;Okouchi Toshinori;Nord Goran;Kanno Koki
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제5B권3호
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    • pp.238-242
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    • 2005
  • In this paper, a surface permanent magnet motor made of the Soft Magnetic Composites (SMC) is analysed using the 3-D finite element method. By comparing with the motor made of the silicon steel sheets, the usefulness of the SMC for the eddy current loss is clarified quantitatively.

형상압연시 연성파괴의 탄소성 유한요소해석 (The Elasto-Plastic Finite Element Analysis of Ductile Fracture in Shape Rolling)

  • 원영목;오규환
    • 소성∙가공
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    • 제5권1호
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    • pp.72-80
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    • 1996
  • During the shape rolling process the influence of reduction ration and taper of shape roller on deformation and limit of ductile fracture such as free surface cracks developing in the workpiece has been studied. The deformation behaviours were analyzed by the 3-dimensional elasto-pastic finite element method and the conditions of ductile fracture were determined from 3-dimensional elasto-plastic finite element method and modified Cockrogt-Latham criterion. The deformed geometry and prediction of ductile fracture by 3-dimensional elasto-plastic finite element method are compared with experimental results The calcuated results are in good agreements with experimental data. The analysis used in the study was found to be effective in predicting the shape rolling process.

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열차의 3차원 유한요소해석을 이용한 1차원충돌 동역학 등가 모델링 기법 (Equivalent Modeling Technique for 1-D Collision Dynamics Using 3-D Finite Element Analysis of Rollingstock)

  • 박민영;박영일;구정서
    • 한국철도학회논문집
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    • 제13권2호
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    • pp.139-146
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    • 2010
  • 본 연구에서는 복잡한 3차원 유한요소모델 충돌거동과 등가인 1차원 동역학 모델링 방법을 개발하기 위하여 새로운 1-D 모델링 방법을 제안하였다. 충돌 거동을 잘 일치시키기 위해서는 충돌 시너지를 주로 흡수하는 압괴 구간의 특성을 정확하게 모델링하는 것이 중요하다. KHST 편성차량을 대상으로 3차원 유한요소 모델의 차체단면에 설정한 단면 옵션으로 충돌해석 시 차체 단면에 작용하는 충격하중과 변형을 추출하여 새로운 1차원 충돌동역학 모델의 스프링요소 특성으로 모델링하고, 국내철도차량 안전기준의 열차 대 열차 충돌사고 각본으로 수치해석을 수행하였다. 두 모델의 에너지 흡수량, 충돌 가속도, 충격하중-변형 등을 비교한 결과가 잘 일치하였다.

Nonhomogeneous atherosclerotic plaque analysis via enhanced 1D structural models

  • Varello, Alberto;Carrera, Erasmo
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.659-683
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    • 2014
  • The static analysis of structures with arbitrary cross-section geometry and material lamination via a refined one-dimensional (1D) approach is presented in this paper. Higher-order 1D models with a variable order of expansion for the displacement field are developed on the basis of Carrera Unified Formulation (CUF). Classical Euler-Bernoulli and Timoshenko beam theories are obtained as particular cases of the first-order model. Numerical results of displacement, strain and stress are provided by using the finite element method (FEM) along the longitudinal direction for different configurations in excellent agreement with three-dimensional (3D) finite element solutions. In particular, a layered thin-walled cylinder is considered as first assessment with a laminated conventional cross-section. An atherosclerotic plaque is introduced as a typical structure with arbitrary cross-section geometry and studied for both the homogeneous and nonhomogeneous material cases through the 1D variable kinematic models. The analyses highlight limitations of classical beam theories and the importance of higher-order terms in accurately detecting in-plane cross-section deformation without introducing additional numerical problems. Comparisons with 3D finite element solutions prove that 1D CUF provides remarkable three-dimensional accuracy in the analysis of even short and nonhomogeneous structures with arbitrary geometry through a significant reduction in computational cost.

유한요소법의 정도수렴 (The Convergence of Accuracy Ratio in Finite Element Method)

  • 조순보
    • 한국공간구조학회논문집
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    • 제3권2호
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    • pp.85-90
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    • 2003
  • If we use a third order approximation for the displacement function of beam element in finite element methods, finite element solutions of beams yield nodal displacement values matching to beam theory results to have no connection with the number increasing of elements of beams. It is assumed that, as the member displacement value at beam nodes are correct, the calculation procedure of beam element stiffness matrix have no numerical errors. A the member forces are calculated by the equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$, the member forces at nodes of beams have errors in a moment and a shear magnitudes in the case of smaller number of element. The nodal displacement value of plate subject to the lateral load converge to the exact values according to the increase of the number of the element. So it is assumed that the procedures of plate element stiffness matrix calculations has a error in the fundamental assumptions. The beam methods for the high accuracy ratio solution Is also applied to the plate analysis. The method of reducing a error ratio of member forces and element stiffness matrix in the finite element methods is studied. Results of study were as follows. 1. The matrixes of EI[B] and [K] in the equations of M(x)=EI[B]{q} and M(x) = [K]{q}+{Q} of beams are same. 2. The equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$ for the member forces have a error ratio in a finite element method of uniformly loaded structures, so equilibrium node loads {Q} must be substituted in the equation of member forces as the numerical examples of this paper revealed.

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엘보우 시편에서의 재료 경화 거동 모델에 따른 최적의 유한 요소 선정 (Selection of the Optimal Finite Element Type by Material Hardening Behavior Model in Elbow Specimen)

  • 허은주;권형도
    • 한국압력기기공학회 논문집
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    • 제13권1호
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    • pp.84-91
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    • 2017
  • This paper is proposed to select the optimal finite element type in finite element analysis. Based on the NUREG reports, static analyses were performed using a commercial analysis program, $ABAQUS^{TM}$. In this study, we used a nonlinear kinematic hardening model proposed by Chaboche. The analysis result of solid elements by inputting the same material constants was different from the results of the NUREG report. This is resulted from the difference between shell element and solid element. Therefore, the material constants that have similar result to the experimental result were determined and compared according to element type. In case of using solid element for efficient finite element analysis, we confirmed that the use of C3D8I element type(incompatible mode 8-node linear brick element) leads the accurate result while reducing the analysis time.

유한요소격자에 기초한 일반적인 금형면 묘사와 3차원 박판성형공정에의 응용 (A General Description of Tool Surface Based on Finite Element Mesh and Its Application to 3-D Sheet Forming Processes)

  • 윤정환;김종봉;양동열;김석관;유동진;이재진
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.550-559
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    • 2000
  • One of the most important factor to be considered for the analysis of sheet metal forming processes is the tool surface description for arbitrarily- shaped sheet metal parts. In the present study , finite element approach is used to describe the arbitrarily shaped tool surface. In finite element mesh approach, tool surfaces ar, described by finite elements. The finite elements mesh description of the tool surface, which is originally described by CAD data, needs much time and time-consuming graphic operation. The method, however, has been widely used to describe a complex tool surface. In the present study, the contact searching algorithm for the finite element mesh approach is developed based on cell strategy method and sheet surface normal scheme. For the verification purpose, a clover cup drawing, Baden-Baden oilpan problem and a trunk floor drawing were investigated. The computational results based on the finite element approach were compared with the results of available parametric patch approach and experiments.