• Title/Summary/Keyword: 3-D Finite Element Method

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Formulation Method of a Solid-To-Beam Transitional Finite Element (연속체-보 천이 유한요소의 구성)

  • Park, Woo-Jin;Lim, Jang-Keun
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.351-356
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    • 2000
  • Various transition elements are generally used for the effective analysis of a complicated mechanical structure. In this paper, a solid-to-beam transition finite element which connects a continuum element and a $c^1-continuity$ beam element each other is proposed. The shape functions of the transition finite elements, which a 8-noded hexahedral solid element fur 3D analysis and a 4-noded quadrilateral plane element fur 2D analysis are connected to a Euler's beam element, are explicitely formulated. In order to show the effectiveness and convergence characteristics of the proposed transition elements. numerical tests are performed for various examples and their results are compared with those obtained by other methods. As the result of this study. following conclusions are obtained: (1)The proposed transition finite elements show the monotonic convergence characteristics because of having used the compatible displacement folds. (2)As being used the transition element in the finite element analysis, the finite element modelings are more convenient and the analysis results are more accurate because of the formulation characteristies of the Euler's beam element.

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A Study on 3D Smoothed Finite Element Method for the Analysis of Nonlinear Nearly-incompressible Materials (비선형 비압축성 물질의 해석을 위한 3차원 Smoothed FEM)

  • Lee, Changkye;Yee, Jurng-Jae
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.9
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    • pp.159-169
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    • 2019
  • This work presents the three-dimensional extended strain smoothing approach in the framework of finite element method, so-called smoothed finite element method (S-FEM) for quasi-incompressible hyperelastic materials undergoing the large deformations. The proposed method is known that the incompressible limits, such as over-estimation of stiffness and distorted mesh sensitivity, can be overcome in two dimensions. Therefore, in this paper, the idea of Cell-based, Edge-based and Node-based strain smoothing approaches is extended to three-dimensions. The construction of subcells and smoothing domains for each methods are explained. The smoothed strain-displacement matrix and the stiffness matrix are obtained on each smoothing domain in the same manner with two-dimensional S-FEM. Various numerical tests are studied to demonstrate the validity and accuracy of 3D-S-FEM. The obtained results are compared with analytical solutions to express the efficacy of the methods.

A Study on Vibration Analysis Method Using the Global Structural Analysis Model (전선 구조해석 모델을 이용한 진동해석 방법에 관한 연구)

  • Park, Hyung-Sik;Choi, Su-Hyun;Lee, Yong-Sub
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.3 s.153
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    • pp.314-322
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    • 2007
  • In general, the vibration and structural analyses have been carried out by using each finite element model separately because of different size of finite element mesh and different focusing area of each analysis. In some cases, however, it is required to perform both global vibration and structural analyses at the same time using a finite element model for global structural analysis, which asks for a special treatment for a vibration analysis. In this study, a technique to perform a global vibration analysis using a finite element model for a global structural analysis has been developed and its effectiveness has been verified by its application to a whole ship.

Effect of cylinder diameter and boat tail angle on the free vibration characteristics of a typical payload fairing

  • Ramamurti, V.;Rajarajan, S.;Rao, G. Venkateswara
    • Structural Engineering and Mechanics
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    • v.13 no.3
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    • pp.345-353
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    • 2002
  • Three noded plate and shell finite element and 3D beam element in conjunction with Lanczos method are used for studying the effect of boat tail angle on the free vibration characteristics of a typical payload fairing for three different cylinder diameters with height to diameter ratio 1.5. Configurations without boat tail structural member are also studied. One half of the one side fairing structure is considered for the analysis and symmetric boundary conditions are used.

3-D Finite Element Modeling of Fiber Reinforced Rubber Composites using a Rubber Element (리바요소를 이용한 섬유강화 고무기저 복합재료의 3차원 유한요소 모델링기법)

  • Jeong, Se-Hwan;Song, Jung-Han;Kim, Jin-Woong;Kim, Jin-Young;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.12 s.255
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    • pp.1518-1525
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    • 2006
  • Finite element analyses of structures made of the fiber reinforced composites require an adequate method to characterize the high anisotropic behavior induced by one or several layers of fiber cords with different spatial orientation embedded in a rubber matrix. This paper newly proposes a continuum based rebar element considering change of the orientation of the fiber during deformation of the composite. The mechanical behavior of the embedded fiber is modeled using two-node bar elements in order to consider the relative deformation and spatial orientation of the embedded fiber. For improvement of the analysis accuracy, the load-displacement curve of fiber is applied to the stiffness matrix of fiber. A finite element program is constructed based on the total Lagrangian formulation considering both geometric and material nonlinearity. Finite element analyses of the tensile test are carried out in order to evaluate the validity of the proposed method. Analysis results obtained with the proposed method provides realistic representation of the fiber reinforced rubber composite compared to results of other two models by the Halpin-Tsai equation and a rebar element in ABAQUS/Standard.

Postbuckling Behavior of Composite Laminated Cylinder under Lateral Pressure (횡방향 압력을 받는 복합적층 원통실린더의 좌굴후 거동해석)

  • 조종두;김헌주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.843-846
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    • 1994
  • The bucking and postbuckling behavior of composite laminated long cylinders under lateral pressure are investigated by the nonlinear finite element method. A long cylinder of 3-D shell problem is modelled as 2-D plane strain problem for analysis. And for the finite element analysis, eight nodes quadratic element is utilized. Arc-length method is adopted for the iteration and load-increment along postbuckling equilibrium path. The composite laminated cylinders in study are composed of cross-plied uniaxially reinforced shells. As a prsult, buckling load and postbuckling behavior are discussed.

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Evaluating the accuracy of mass scaling method in non-linear quasi-static finite element analysis of RC structures

  • A. Yeganeh-Salman;M. Lezgy-Nazargah
    • Structural Engineering and Mechanics
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    • v.85 no.4
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    • pp.485-500
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    • 2023
  • The non-linear static analysis of reinforced concrete (RC) structures using the three-dimensional (3D) finite element method is a time-consuming and challenging task. Moreover, this type of analysis encounters numerical problems such as the lack of convergence of results in the stages of growth and propagation of cracks in the structure. The time integration analysis along with the mass scaling (MS) technique is usually used to overcome these limitations. Despite the use of this method in the 3D finite element analysis of RC structures, a comprehensive study has not been conducted so far to assess the effects of the MS method on the accuracy of results. This study aims to evaluate the accuracy of the MS method in the non-linear quasi-static finite element analysis of RC structures. To this aim, different types of RC structures were simulated using the finite element approach based on the implicit time integration method and the mass scaling technique. The influences of effective parameters of the MS method (i.e., the allowable values of increase in the mass of the RC structure, the relationship between the duration of the applied load and fundamental vibration period of the RC structure, and the pattern of applied loads) on the accuracy of the simulated results were investigated. The accuracy of numerical simulation results has been evaluated through comparison with existing experimental data. The results of this study show that the achievement of accurate structural responses in the implicit time integration analyses using the MS method involves the appropriate selection of the effective parameters of the MS method.

Development of 3D Sheet Metal Forming Analysis Program by explicit finite element method (외연적 탄소성 유한요소법에 의한 3차원 박판금속 성형해석 프로그램 개발)

  • 정완진
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.217-221
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    • 1997
  • In this study, 3D sheet metal forming analysis program is developed by explicit finite element method. In this program, analysis flow just follows the real engineering process to provide the user intuitive understanding and smooth contact alorithm improves the accuracy of stress prediction. The capability of this program are demonstrated by various examples.

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3D Optimal Design of Transformer Tank Shields using Design Sensitivity Analysis

  • Yingying Yao;Ryu, Jae-Seop;Koh, Chang-Seop;Dexin Xie
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.3B no.1
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    • pp.23-31
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    • 2003
  • A novel 3D shape optimization algorithm is presented for electromagnetic devices carry-ing eddy current. The algorithm integrates the 3D finite element performance analysis and the steepest descent method with design sensitivity and mesh relocation method. For the design sensitivity formula, the adjoint variable vector is defined in complex form based on the 3D finite element method for eddy current problems. A new 3D mesh relocation method is also proposed using the deformation theory of the elastic body under stress to renew the mesh as the shape changes. The design sensitivity f3r the sur-face nodal points is also systematically converted into that for the design variables for the parameterized optimization application. The proposed algorithm is applied to the optimum design of the tank shield model of the transformer and the effectiveness is proved.

Analysis of 3D Microwave Oven Using Finite Element Method (전자렌지 캐비티의 전자파 해석)

  • Park, Kweong-Soo;Kim, Gweon-Jib;Shon, Jong-Chull;Kim, Sang-Gweon;Park, Yoon-Ser
    • Proceedings of the KIEE Conference
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    • 1996.07c
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    • pp.1753-1755
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    • 1996
  • This paper presents an analysis of the 3D microwave oven considering its forming. The results were compared with experimental data. Finite Element Method(FEM) using edge clement is employed for the analysis. For solving the large sparse system matrix equation was solved using the parallelized QMR method. Analysis of the 3d cavity has troublesome difficulties such as spurious solutions, too many memory and long computation time. We overcome this difficulties by using edge clement for spurious solutions and the parallelized QMR method by the aid of Paralle Virtual Machine(PVM) for the memory and computation time.

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