• Title/Summary/Keyword: Three-dimensional finite element

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Free vibrations of inclined arches using finite elements

  • Chucheepsakul, Somchai;Saetiew, Wasuroot
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.713-730
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    • 2002
  • This paper presents a finite element approach for determining the natural frequencies for planar inclined arches of various shapes vibrating in three-dimensional space. The profile of inclined arches, represented by undeformed centriodal axis of cross-section, is defined by the equation of plane curves expressed in the rectangular coordinates which are : circular, parabolic, sine, elliptic, and catenary shapes. In free vibration state, the arch is slightly displaced from its undeformed position. The linear relationship between curvature-torsion and axial strain is expressed in terms of the displacements in three-dimensional space. The finite element discretization along the span length is used rather than the total are length. Numerical results for arches of various shapes are given and they are in good agreement with those reported in literature. The natural frequency parameters and mode shapes are reported as functions of two nondimensional parameters: the span to cord length ratio (e) and the rise to cord length ratio (f).

Development of a New Three-dimensional Finite Element Analysis Model of High-speed Railway Bridges (고속철도교량의 새로운 3차원 유한요소 해석모델의 개발)

  • 송명관;한인선;김선훈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.444-451
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    • 2003
  • In this study, a new three-dimensional finite element analysis model of high-speed railway bridges considering train-bridge interaction, in which various improved finite elements are used for modeling structural members, is proposed. The box-type bridge deck of a railway bridge is modeled by the NFS(Nonconforming Flat Shell) elements with 6 degrees of freedom. Track structures are idealized using the beam finite elements with the offset of beam nodes and those on Winkler foundation with two parameters. And, the vehicle model devised for a high-speed train is employed, which has an articulated bogie system. By Lagrange's equations of motion, the equations of motion of a bridge-train system can be formulated. Finally, by deriving the equations of the forces acting on a bridge considering bridge-train interaction the complete system matrices of total bridge-train system can be constructed. As numerical examples of this study, 2-span PC box-girder bridge is analyzed and results are compared with experimental results.

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A 3-dimensional Finite Element analysis of the Temperature and Stress Development in Mass Concrete Pier due to Heat of Hydration (매스콘크리트 교각의 수화열에 의한 온도 및 응력 거동에 대한 3차원 유한요소 해석)

  • 주영춘;김은겸;신치범
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.928-933
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    • 1998
  • The temperature and stress behaviour of mass concrete pier at early ages was analysed based on the finite element method. The pier investigated is a three-dimensional structure of which the cross-sectional shape varies from a circle to an ellipsoid along the longitudinal axis. In order to obtain the transient temperature and stress distributions in the structure, a three dimensional method was adopted, because the structure of this type cannot be modeled accurately by a two-dimensional method. Temperature analysis was performed by taking into consideration of the cement type and content, boundary and environment conditions including the variations of atmospheric temperature and wind velocity. The results of this study may be useful for the temperature control to restrain thermal cracking and the construction management to design the resonable curing method of mass concrete structure.

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A three-dimensional finite element analysis of the relationship between masticatory performance and skeletal malocclusion

  • Park, Jung-Chul;Shin, Hyun-Seung;Cha, Jung-Yul;Park, Jong-Tae
    • Journal of Periodontal and Implant Science
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    • v.45 no.1
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    • pp.8-13
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    • 2015
  • Purpose: The aim of this study was to evaluate the transfer of different occlusal forces in various skeletal malocclusions using finite element analysis (FEA). Methods: Three representative human cone-beam computed tomography (CBCT) images of three skeletal malocclusions were obtained from the Department of Orthodontics, Yonsei University Dental Hospital, Seoul, South Korea. The CBCT scans were read into the visualization software after separating bones and muscles by uploading the CBCT images into Mimics (Materialise). Two separate three-dimensional (3D) files were exported to visualize the solid morphology of skeletal outlines without considering the inner structures. Individual dental impressions were taken and stone models were scanned with a 3D scanner. These images were integrated and occlusal motions were simulated. Displacement and Von Mises stress were measured at the nodes of the FEA models. The displacement and stress distribution were analyzed. FEA was performed to obtain the 3D deformation of the mandibles under loads of 100, 150, 200, and 225 kg. Results: The distortion in all three skeletal malocclusions was comparable. Greater forces resulted in observing more distortion in FEA. Conclusions: Further studies are warranted to fully evaluate the impact of skeletal malocclusion on masticatory performance using information on muscle attachment and 3D temporomandibular joint movements.

Deformation Behavior Analysis of Zr-702 Alloy during ECAP at Elevated Temperature (온간 ECAP 공정에서 Zr-702 합금의 변형거동해석)

  • 이강무;권기환;채수원;권숙인;김명호;황선근
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.877-881
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    • 2002
  • Much research efforts have been made on the equal channel angular pressing(ECAP) which produces ultra-fine grains. In this paper the ECAP processes with Zr-702 alloy at elevated temperature and at room temperature are considered. Both two-dimensional and three-dimensional finite element analyses have been employed to investigate the deformation behaviors of specimen during ECAP process.

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Analytical Evaluation of Beam-Bar Bond and Anchorage in Beam-column joints under Cyclic Loading (주기하중을 받는 보-기둥 접합부내 보주철근 부착 및 정착의 해석적 평가)

  • Oh Soo-Yeun;Lee Joo-Ha;Yoon Young-Soo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.510-513
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    • 2004
  • The objectives of this research are to evaluate the effect of the compressive strength of concrete, reinforcing bar size, spacing of column transverse bars related to the concrete confinement effects on anchorage bond strength and bond behavior of beam-column joints subjected to cyclic loading and to predict the bond behavior of beam-column joints according to the variables by Finite Element Analysis appling the interface element between concrete and reinforced bar surface in a three-dimensional configuration. This paper shows that to verify the results by three-dimensional nonlinear finite element analysis appling a interface element, the test results that were already conducted are compared with analytic results. The behavior of bond and anchorage of beam bar is expressed by a local bond stress-slip relationship and the failure mode of bond is predicted by principal stress contour.

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AUTOMATED ADAPTIVE TETRAHEDRAL ELEMENT GENERATION FOR THREE-DIMENSIONAL METAL FORMING SIMULATION (삼차원 소성가공 공정 시뮬레이션을 위한 지능형 사면체 요소망 자동생성)

  • Lee M. C.;Joun M. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.05a
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    • pp.203-208
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    • 2005
  • In this paper, an automated adaptive mesh generation scheme, based on an advancing-front-Delaunay method, is developed for finite element simulation of three dimensional bulk metal forming processes. During the simulation, the finite element mesh system is adaptively remeshed whenever the mesh is unacceptable. Several schemes are developed such as curvature compensation scheme to minimize volume loss, optimal smoothing scheme to improve element quality, etc. The presented approach is evaluated and applied to automatic forging simulation in order to demonstrate the effect of the developed schemes.

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A Study on the Stifness of Coil Spring in the Three Dimensional Space (3차원 공간에서 코일스프링의 강성에 관한 연구)

  • 이수종
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1130-1139
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    • 2001
  • Springs are widely utilized in machine element. To find out stiffness of coil spring, the space beam theory using the finite element method is adopted in this paper. In three dimensional space, a space frame element is a straight bar of uniform cross section which is capable of resisting axial forces, bending moments about two principal axes in the plane of its cross section and twisting moment about its centroidal axis. The corresponding displacement degrees of freedom are twelve. The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displacements are added to coordinates of nodal points. The new stiffness matrix of the system using the new coordinates of nodal points is adopted to calculated the another increments of nodal displacements, that is, the step by step method is used in this paper. The results of the finite element method are fairly well agreed with those of various experiments. Using MATLAB program developed in this paper, spring constants can be predicted by input of few factors.

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Analysis of composite steel-concrete beams using a refined high-order beam theory

  • Lezgy-Nazargah, M.;Kafi, L.
    • Steel and Composite Structures
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    • v.18 no.6
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    • pp.1353-1368
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    • 2015
  • A finite element model is presented for the analysis of composite steel-concrete beams based on a refined high-order theory. The employed theory satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility. The global displacement components, described by polynomial or combinations of polynomial and exponential expressions, are superposed on local ones chosen based on the layerwise or discrete-layer concepts. The present finite model does not need the incorporating any shear correction factor. Moreover, in the present $C^1$-continuous finite element model, the number of unknowns is independent of the number of layers. The proposed finite element model is validated by comparing the present results with those obtained from the three-dimensional (3D) finite element analysis. In addition to correctly predicting the distribution of all stress components of the composite steel-concrete beams, the proposed finite element model is computationally economic.

Flow Analysis of Centrifugal Compressor Using Quasi-Three-Dimensional Analysis (원심압축기의 유동해석을 위한 준삼차원 해석기법)

  • Ahn, S.J.;Kim, K.Y.
    • The KSFM Journal of Fluid Machinery
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    • v.6 no.1 s.18
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    • pp.30-36
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    • 2003
  • This paper presents the analysis of flows through three different types of radial compressor impeller by using quasi-three-dimensional analysis method. The method obtains two-dimensional solution for velocity distribution on meridional plane, and then calculates approximately the static pressure distributions on blade surfaces. Finite difference method is used for the solutions of governing equations. The compressors have low level compression-ratio and 12 straight radial blades with no backsweep. The results are compared with experimental data and the results of three-dimensional inviscid analysis with those by finite element method. It is found that the agreements with experimental data are good for the cases where viscous effects are not dominant.