• Title/Summary/Keyword: Finite Elements

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An Adaptive Mesh Refinement Scheme for 3D Non-Linear Finite Element Analysis of Magnetostatic Problems (3차원 비선형 정자장 문제의 유한요소 해석을 위한 적응 요소분할 기법)

  • Choi, Yong-Kwon;Seop, Ryu-Jae;Koh, Chang-Seop
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.6
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    • pp.306-313
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    • 2006
  • A three dimensional adaptive finite element refinement algorithm is developed for non-linear magnetostatic field problems. In the method, the edge elements are used for finite element formulation, and the local error in each element is estimated from the fact that the tangential components of magnetic field intensity and the normal components of magnetic flux density should be continuous at the interface of the two adjacent elements. Based on the estimated error, the elements which have big error are divided into several elements using bisection method. The effectiveness of the developed algorithm is proved through numerical examples.

Three-dimensional finite element modeling of a long-span cable-stayed bridge for local stress analysis

  • Lertsima, Chartree;Chaisomphob, Taweep;Yamaguchi, Eiki
    • Structural Engineering and Mechanics
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    • v.18 no.1
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    • pp.113-124
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    • 2004
  • The information on local stress acting in a bridge is required in many occasions such as fatigue assessment. The analysis by beam elements cannot yield this class of information adequately, while the finite element modeling of an entire long-span bridge by shell elements is impractical. In the present study, the hybrid modeling is tried out: only part of a bridge in which the point of interest is located is discretized by shell elements and the remaining part is modeled by beam elements. By solving a simple box girder problem, the effectiveness of this approach is discussed. This technique is then applied to the Rama IX Bridge for local stress evaluation. The numerical results compare very well with the results of a full-scale static loading test. The present research thus offers a practical yet accurate technique for the stress analysis of a long-span cable-stayed bridge.

A mixture theory based method for three-dimensional modeling of reinforced concrete members with embedded crack finite elements

  • Manzoli, O.L.;Oliver, J.;Huespe, A.E.;Diaz, G.
    • Computers and Concrete
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    • v.5 no.4
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    • pp.401-416
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    • 2008
  • The paper presents a methodology to model three-dimensional reinforced concrete members by means of embedded discontinuity elements based on the Continuum Strong Discontinuous Approach (CSDA). Mixture theory concepts are used to model reinforced concrete as a 3D composite material constituted of concrete with long fibers (rebars) bundles oriented in different directions embedded in it. The effects of the rebars are modeled by phenomenological constitutive models devised to reproduce the axial non-linear behavior, as well as the bond-slip and dowel action. The paper presents the constitutive models assumed for the components and the compatibility conditions chosen to constitute the composite. Numerical analyses of existing experimental reinforced concrete members are presented, illustrating the applicability of the proposed methodology.

A Study on the Finite Element Analysis of J-Integral (J-적분의 유한요소해석에 관한 연구)

  • 한문식;김상철
    • Journal of Advanced Marine Engineering and Technology
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    • v.6 no.1
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    • pp.41-48
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    • 1982
  • One of the important subjects in fracture mechanics study is to analyze the stress intensity factor. In this paper, the stress intensity factor in Mode I ($K^{I}$) is determined by J-integral using the finite element method. In this investigation, the values of $K^{I}$ are computed for distorted and undistorted elements of 8-noded isoparametric finite elements. The numerical results obtained are summarized as follows. (1) Through a relatively coarse mesh, the $K^{I}$ values obtained by this method are fairly good accuracy. (2) The $K^{I}$ values for the distorted elements appear to be better than those obtained using the undistorted mesh. (3) Within the limits of these analyses, the solutions obtained through the integral paths in the medium region of elements approach to the analytical solution most closely.

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Seismic Analysis of Statically Determinate Beams Using Moving Support Finite Elements (동지점 유한요소를 이용한 정정보의 지진해석)

  • Kim, Yong-Woo;Lee, Seoung Yeal;Jhung, Myung Jo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.194-199
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    • 2013
  • Using moving support finite elements, seismic analysis of statically-determinate beams subjected to support motions is performed to show its accuracy and its ease of use. Examples of cantilever and simply-supported beam subjected to support motions are illustrated and the numerical results are compared with the analytical solutions. The examples show the elements facilitate modeling beams with the conventional 2-noded, Hermitian, Euler-Bernoulli beam element. The comparisons of the results with analytical solutions show good agreements with high accuracy.

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Optimal Angle Error Reduction of Magnetic Position Sensor by 3D Finite Element Method

  • Kim, Ki-Chan
    • Journal of Magnetics
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    • v.18 no.4
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    • pp.454-459
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    • 2013
  • This paper deals with an optimal angle error reduction method of magnetic position sensor using hall effect elements. The angle detection simulation for the magnetic position sensor is performed by 3 dimensional finite element method and Taguchi method, one of the design of experiments. The magnetic position sensor is required to generate ideal sine and cosine waveforms from its hall effect elements according to rotation angle for precise angle information. However, the output signals are easy to include harmonics due to uneven magnetic field distribution from permanent magnet in the air-gap in the vicinity of hall effect elements. For the Taguchi method, three design parameters related to position of hall effect elements and shape of back yoke are selected. The characteristics of optimal magnetic position sensor are compared with those of original one in terms of simulation as well as experiment. Finally, the performances of the motor adopting original model and optimal model are represented for the purpose of verification of motor performance due to signals from magnetic position sensor.

Buckling Analysis of Box-typed Structures using Adaptive Finite Elements (적응적 유한요소를 이용한 박스형 구조물의 좌굴해석)

  • Song, Myung-Kwan;Kim, Sun-Hoon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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Finite 'crack' element method (균열 유한 요소법)

  • Cho, Young-Sam;Jun, Suk-Ky;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.551-556
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    • 2004
  • We propose a 2D 'crack' element for the simulation of propagating crack with minimal remeshing. A regular finite element containing the crack tip is replaced with this novel crack element, while the elements which the crack has passed are split into two transition elements. Singular elements can easily be implemented into this crack element to represent the crack-tip singularity without enrichment. Both crack element and transition element proposed in our formulation are mapped from corresponding master elements which are commonly built using the moving least-square (MLS) approximation only in the natural coordinate. In numerical examples, the accuracy of stress intensity factor $K_I$ is demonstrated and the crack propagation in a plate is simulated.

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Implementation of Eigenvalue Analysis Program for Microwave Components Using High Order Vector Elements (고차벡터요소를 사용한 초고주파 소자의 고유치 해석 프로그램 구현)

  • 김형석;김영태
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.6
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    • pp.296-302
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    • 2001
  • In this paper, the vector finite elements are adopted to calculate eigenvalues of RF and microwave components. Simulation results show that spurious are completely avoided because of the divergence free nature of the vector elements. This paper seeks to extend these low-order elements to higher orders to improve the accuracy of numerical solution. Investigation of numerical results for a rectangular waveguide was provided. A vector finite element program was implemented to allow propagation constants and electric field distributions to be directly computed in the rectangular and circular waveguides which are partially filled with the dielectric.

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Numerical Analysis for Prediction of Fatigue Crack Opening Level

  • Choi, Hyeon Chang
    • Journal of Mechanical Science and Technology
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    • v.18 no.11
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    • pp.1989-1995
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    • 2004
  • Finite element analysis(FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.