• Title/Summary/Keyword: Finite-element Method (FEM)

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Second-order wave radiation by multiple cylinders in time domain through the finite element method

  • Wang, C.Z.;Mitra, S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • v.1 no.4
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    • pp.317-336
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    • 2011
  • A time domain finite element based method is employed to analyze wave radiation by multiple cylinders. The nonlinear free surface and body surface boundary conditions are satisfied based on the perturbation method up to the second order. The first- and second-order velocity potential problems at each time step are solved through a finite element method (FEM). The matrix equation of the FEM is solved through an iteration and the initial solution is obtained from the result at the previous time step. The three-dimensional (3D) mesh required is generated based on a two-dimensional (2D) hybrid mesh on a horizontal plane and its extension in the vertical direction. The hybrid mesh is generated by combining an unstructured grid away from cylinders and two structured grids near the cylinder and the artificial boundary, respectively. The fluid velocity on the free surface and the cylinder surface are calculated by using a differential method. Results for various configurations including two-cylinder and four-cylinder cases are provided to show the mutual influence due to cylinders on the first and second waves and forces.

Analysis of discontinuous contact problem in two functionally graded layers resting on a rigid plane by using finite element method

  • Polat, Alper;Kaya, Yusuf
    • Computers and Concrete
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    • v.29 no.4
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    • pp.247-253
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    • 2022
  • In this study, the problem of discontinuous contact in two functionally graded (FG) layers resting on a rigid plane and loaded by two rigid blocks is solved by the finite element method (FEM). Separate analyzes are made for the cases where the top surfaces of the problem layers are metal, the bottom surfaces are ceramic and the top surfaces are ceramic and the bottom surfaces are metal. For the problem, it is accepted that all surfaces are frictionless. A two-dimensional FEM analysis of the problem is made by using a special macro added to the ANSYS package program The solution of this study, which has no analytical solution in the literature, is given with FEM. Analyzes are made by loading different Q and P loads on the blocks. The normal stress (σy) distributions at the interfaces of FG layers and between the substrate and the rigid plane interface are obtained. In addition, the starting and ending points of the separations between these surfaces are determined. The normal stresses (σx, σy) and shear stresses (τxy) at the point of separation are obtained along the depth. The results obtained are shown in graphics and tables. With this method, effective results are obtained in a very short time. In addition, analytically complex and long problems can be solved with this method.

A Study on the T-branch Forming with 3-D Finite Element Method (3차원 유한요소법을 이용한 T형 가지관의 용접자리 성형 방법에 관한 연구)

  • 홍대훈;황두순;신동필;홍성인
    • Transactions of Materials Processing
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    • v.10 no.1
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    • pp.23-29
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    • 2001
  • In this study, the optimized initial hole shape for T-branch forming was proposed to obtain effective welding region. Design variables were determined by approximation analysis using volume constant condition. We performed 3D elastic-plastic FEM(Finite Element Method) analysis to simulate T-branch forming process. The variation of height and thickness of T-branch with various hole shapes was investigated. The optimized initial hole shape equation was obtained by using results for the numerical analysis.

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A fourth order finite difference method applied to elastodynamics: Finite element and boundary element formulations

  • Souza, L.A.;Carrer, J.A.M.;Martins, C.J.
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.735-749
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    • 2004
  • This work presents a direct integration scheme, based on a fourth order finite difference approach, for elastodynamics. The proposed scheme was chosen as an alternative for attenuating the errors due to the use of the central difference method, mainly when the time-step length approaches the critical time-step. In addition to eliminating the spurious numerical oscillations, the fourth order finite difference scheme keeps the advantages of the central difference method: reduced computer storage and no requirement of factorisation of the effective stiffness matrix in the step-by-step solution. A study concerning the stability of the fourth order finite difference scheme is presented. The Finite Element Method and the Boundary Element Method are employed to solve elastodynamic problems. In order to verify the accuracy of the proposed scheme, two examples are presented and discussed at the end of this work.

Optimization of design variables of the multi layer bellows using FE-simulation and design of experiment (유한요소해석과 실험계획 법을 활용한 다층관 벨로우즈의 설계변수 최적화)

  • Oh, S.K.;Suh, C.H.;Jung, Y.C.;Kim, D.B.;Sung, J.H.;Kim, Y.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.10a
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    • pp.277-280
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    • 2008
  • Multi layer bellows are being manufactured for commercial vehicle because of the characteristic of high durability compared with single iaγor bellows used to passenger vehicle. Finite Element Method (FEM) study and optimization about single layer bellows are actively progressed, but FEM study about multi layer bellows which have gap between layer is rarely processed. Therefore, this article presents finite element modeling of multi layer bellows for the improvement of simulation reliability. For the shape optimization of multi layer bellows, design of experiment and Taguchi method are used.

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A Study on Forming for Brake Pipe of Automobiles using Finite Element Method (유한요소법을 이용한 자동차용 브레이크 파이프의 성형에 관한 연구)

  • Min, Byeong-Hyeon;Jea, Wone-Soo;Ye, Sang-Don
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.3
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    • pp.47-49
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    • 2008
  • The brake pipe is important part in automobile. The brake pipe have to prevent crack, fracture and defects for braking in safety. Especially, shape of ends of pipe has influence on ability of brake. Based on the procedure of process design, in this paper, the forming operation is designed by finite element method. Design variable and response value was selected shape of die and damage factor. To improve die that performed FEM and compared results of two types of die.

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FEM APPROACH TO ONE DIMENSIONAL UNSTEADY STATE TEMPERATURE DISTRIBUTION IN HUMAN DERMAL PARTS WITH QUADRATIC SHAPE FUNCTIONS

  • Gurung, D. B.;Saxena, V. P.;Adhikary, P. R.
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.301-313
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    • 2009
  • This paper presents a Finite Element Method (FEM) application to thermal study of natural three layers of human dermal parts of varying properties. This paper carries out investigation of temperature distributions in these layers namely epidermis, dermis and under lying tissue layer. It is assumed that the outer skin is exposed to atmosphere and the loss of heat due to convection, radiation and evaporation of water have also been taken into account. The computations are carried out for one dimensional unsteady state case and the shape functions in dermal parts have been considered to be quadratic. A Finite Element scheme that uses the Crank-Nicolson method is used to solve the problem and the results computed have been exhibited graphically.

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Analysis of a Rectangular Ceramic Dielectric Antenna Using Finite Element Method (유한요소법을 사용한 직육면체 세라믹 유전체 안테나의 특성 해석)

  • 문정익;김병남;박성욱
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.2
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    • pp.217-227
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    • 2000
  • A rectangular ceramic dielectric antenna, placed on the top of a ground plane and fed by coaxial probe, is analyzed by using the finite element method. To verify the proposed code, a rectangular ceramic dielectric antenna was fabricated and the characteristics of antenna were measured. The numerical data obtained is in good agreements with experimental result. Thus we checked the validity of our FEM code, and it can be possible to extend the analysis of the arbitrary 3-D antenna on a ground plane fed by coaxial probe.

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Predicting Moment Carrying Capacity of the "sagae" Connection Using the Finite Element Method

  • Jeong, Gi Young;Park, Moon-Jae;Park, Joo-Saeng;Lee, Sang-Joon
    • Journal of the Korean Wood Science and Technology
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    • v.41 no.5
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    • pp.415-424
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    • 2013
  • The goal of this study is to analyze the effects of geometries of mortise and tenon on moment carrying capacity of the "sagae" connection. Effects of different tenon widths, mortise depths of connection from the top and bottom beams on stress distribution were investigated using the finite element method (FEM). Critical normal and shear stresses occurred at the reentrant corner from the mortise of the bottom beam. The maximum moment carrying capacity of the sagae connection from the FEM was validated from the results of experimental test. Maximizing moment carrying capacity of the sagae connection was found when the tenon width and mortise depth from the two beams were 40 mm and 60 mm, respectively.

Finite element analysis of elastic property of concrete composites with ITZ

  • Abdelmoumen, Said;Bellenger, Emmanuel;Lynge, Brandon;Queneudec-t'Kint, Michele
    • Computers and Concrete
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    • v.7 no.6
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    • pp.497-510
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    • 2010
  • For better estimation of elastic property of concrete composites, the effect of Interfacial Transition Zone (ITZ) has been found to be significant. Numerical concrete composites models have been introduced using Finite Element Method (FEM), where ITZ is modeled as a thin shell surrounding aggregate. Therefore, difficulties arise from the mesh generation. In this study, a numerical concrete composites model in 3D based on FEM and random unit cell method is proposed to calculate elastic modulus of concrete composites with ITZ. The validity of the model has been verified by comparing the calculated elastic modulus with those obtained from other analytical and numerical models.