• Title/Summary/Keyword: 3-dimensional finite element method (3D FEM)

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Two dimensional variable-length vector storage format for efficient storage of sparse matrix in the finite element method (유한요소법에서 희소행렬의 효율적인 저장을 위한 2차원 가변길이 벡터 저장구조)

  • Boo, Hee-Hyung;Kim, Sung-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.9
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    • pp.9-16
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    • 2012
  • In this paper, we propose the two dimensional variable-length vector storage format which can be used for efficient storage of sparse matrix in the FEM (finite element method). The proposed storage format is the method storing only actual needed non-zero values of each row on upper triangular matrix with the total rows N, by using two dimensional variable-length vector instead of $N{\times}N$ large sparse matrix of entire equation of finite elements. This method only needs storage spaces of the number of minimum 1 to maximum 5 in 2D grid structure and the number of minimum 1 to maximum 14 in 3D grid structure of analysis target. The number doesn't excess two times although involving index number. From the experimental result, we can find out that the proposed storage format can reduce the memory space more effectively, as the total number of nodes increases, than the existing skyline storage format storing maximum column height.

Finite Element Analysis of Lumbar Spine under Surgical Condition (척추 수술시 요추의 유한요소해석)

  • Kim D. H.;Cho S. H.;Jang D. P.;Hwang W;Chung W. K;Oh S. H.;Kim Y. S.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.04a
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    • pp.210-213
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    • 2004
  • We study the fracture behavior of the lumbar No.4 and No.5 vertebra subjected to posteroanterior (PA) forces, a three dimensional finite element method (FEM). The lumbar spine was modeled 3-dimensionally using commercial software based on the principle of convert stacked two dimensional CT scan images into three dimensional shapes. Determination of the boundary conditions corresponding to actual surgical conditions was not easy, so that the simplified spine beam analyses were performed. The results were used in three dimensional finite element (FE) analysis. This FE analysis, indicates that the fracture loads of the lumbar No.4 and No.5 vertebra are respectively 1550 N and 1500 N. These fracture loads are for static loading, but in actual conditions the load on the lumbar spine varies dynamically. We found that the fracture load of lumbar No.4 vertebra is larger than that of lumbar No.5 vertebra, as a result of the total stress difference by the moment.

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Flux Density Analysis of Superconducting Motor Using 3D Equivalent Magnetic Circuit Network (3차원 등가자기회로망법을 이용한 초전도 전동기의 자속밀도 분포 해석)

  • Lee, Jung-Jong;Jin, Young-Woo;Kim, Young-Kyun;Jo, Young-Sik;Hong, Jung-Pyo
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.773-775
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    • 2002
  • This paper deals with 3 Dimensional(3D) analysis of magnetic flux density of High Temperature Superconducting(HTS) motor using 3D Equivalent Magnetic Circuit Network (EMCN). When the Finite Element Method (FEM) is applied to an analysis of 3D models, it takes much time to the pre-process work required for 3D modeling and to solve the differential equation. Compare with 3D FEM, the result of 3D EMCN by using the magnetic resistance and magnetomotive force is exact and rapid. The accuracy of 3D EMCN is verified by comparing the 3D EMCN analysis with that of 3D FEM in HTS motor.

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Analysis of flow through dam foundation by FEM and ANN models Case study: Shahid Abbaspour Dam

  • Shahrbanouzadeh, Mehrdad;Barani, Gholam Abbas;Shojaee, Saeed
    • Geomechanics and Engineering
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    • v.9 no.4
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    • pp.465-481
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    • 2015
  • Three-dimensional simulation of flow through dam foundation is performed using finite element (Seep3D model) and artificial neural network (ANN) models. The governing and discretized equation for seepage is obtained using the Galerkin method in heterogeneous and anisotropic porous media. The ANN is a feedforward four layer network employing the sigmoid function as an activator and the back-propagation algorithm for the network learning, using the water level elevations of the upstream and downstream of the dam, as input variables and the piezometric heads as the target outputs. The obtained results are compared with the piezometric data of Shahid Abbaspour's Dam. Both calculated data show a good agreement with available measurements that demonstrate the effectiveness and accuracy of purposed methods.

3D FEM analysis of earthquake induced pounding responses between asymmetric buildings

  • Bi, Kaiming;Hao, Hong;Sun, Zhiguo
    • Earthquakes and Structures
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    • v.13 no.4
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    • pp.377-386
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    • 2017
  • Earthquake-induced pounding damages to building structures were repeatedly observed in many previous major earthquakes. Extensive researches have been carried out in this field. Previous studies mainly focused on the regular shaped buildings and each building was normally simplified as a single-degree-of-freedom (SDOF) system or a multi-degree-of-freedom (MDOF) system by assuming the masses of the building lumped at the floor levels. The researches on the pounding responses between irregular asymmetric buildings are rare. For the asymmetric buildings subjected to earthquake loading, torsional vibration modes of the structures are excited, which in turn may significantly change the structural responses. Moreover, contact element was normally used to consider the pounding phenomenon in previous studies, which may result in inaccurate estimations of the structural responses since this method is based on the point-to-point pounding assumption with the predetermined pounding locations. In reality, poundings may take place between any locations. In other words, the pounding locations cannot be predefined. To more realistically consider the arbitrary poundings between asymmetric structures, detailed three-dimensional (3D) finite element models (FEM) and arbitrary pounding algorithm are necessary. This paper carries out numerical simulations on the pounding responses between a symmetric rectangular-shaped building and an asymmetric L-shaped building by using the explicit finite element code LS-DYNA. The detailed 3D FEMs are developed and arbitrary 3D pounding locations between these two buildings under bi-directional earthquake ground motions are investigated. Special attention is paid to the relative locations of two adjacent buildings. The influences of the left-and-right, fore-and-aft relative locations and separation gap between the two buildings on the pounding responses are systematically investigated.

Characteristic Analysis of Linear DC motor by Using 3 Dimensional Equivalent Magnetic Circuit Network (3D EMCN을 이용한 양측식 가동 코일형 LDM의 특성 해석)

  • Yeom, Sang-Bu;Ha, Kyeong-Ho;Hong, Jung-Pyo;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.876-878
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    • 2000
  • In this paper, the characteristic of the Linear DC motor(LDM) are analyzed by using 3 Dimensional Equivalent Magnetic Circuit Network (3D EMCN), the movement of mover substitutes for the movement of magnetization in permanent magnet expressed by Fourier series, thrust characteristic analysis is performed and the appropriateness of analysed result is verified by comparing with the results of 2 Dimensional Finite Element Method (2D FEM) and experiment.

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A Numerical Study on the Estimation Method of the Results of Static Pile Load Test Using the Results of Bi-directional Pile Load Test of Barrette Piles (바렛말뚝의 양방향재하시험을 이용한 정적압축재하시험 결과 추정방법에 관한 수치해석적 연구)

  • Hong, Young-Suk;Yoo, Jae-Won;Kang, Sang-Kyun;Choi, Moon-Bong;Lee, Kyung-Im
    • Journal of the Korean Geosynthetics Society
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    • v.18 no.1
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    • pp.39-53
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    • 2019
  • Bi-directional pile load test (briefly called 'BDH PLT') cannot be performed at loading levels where ultimate bearing capacity could be assessed in field, it is not possible to precisely determine both ultimate load and yield load and under loading. Since the load is transmitted separately to the skin and the end unlike the static pile load test (briefly called 'SPLT') and the direction of loading on the skin is opposite, such methods could have a result different from actual movements of shafts. In this study, three-dimensional finite element method (briefly called '3D FEM') analysis was conducted from results of the BDH PLT, made with barret piles, which were large-diameter cast-in-place concrete piles, and the calculated design constants were applied to the 3D FEM analysis of the SPLT to interpret them numerically and then, actual behaviors of cast-in-place concrete piles were estimated. First, using the results of the BDH PLT with cast-in-place concrete piles, behaviors of the piles made by loading upwards and downwards were analyzed to calculate load-displacement. Second, the design constants, calculated by the 3D FEM analysis and the back analysis, were applied on the 3D FEM analysis for the SPLT, and from these results, behaviors of the SPLT through the BDH PLT was analyzed. Last, the results of the 3D FEM analysis of the SPLT through the BDH PLT was expressed in relationships as {A ratio of bearing capacity of the SPLT and of the BDH PLT (y)} ~ {A ratio of reference displacement and pile circumference (x)}, and they were all classified by reference displacement at 10.0 mm, 15.0 mm, and 25.4 mm.

Levitation and Thrust Forces Analysis of Hybrid-Excited Linear Synchronous Motor for Magnetically Levitated Vehicle

  • Cho, Han-Wook;Kim, Chang-Hyun;Han, Hyung-Suk;Lee, Jong-Min
    • Journal of Electrical Engineering and Technology
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    • v.7 no.4
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    • pp.564-569
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    • 2012
  • This paper proposes a hybrid-excited linear synchronous motor (LSM) that has potential applications in a magnetically levitated vehicle. The levitation and thrust force characteristics of the LSM are investigated by means of three-dimensional (3-D) numerical electromagnetic FEM calculations and experimental verification. Compared to a conventional LSM with electromagnets, a hybrid-excited LSM can improve levitation force/weight ratios, and reduce the power consumption of the vehicle. Because the two-dimensional (2-D) FE analysis model describes only the center section of the physical device, it cannot express the complex behavior of leakage flux, which this study is able to predicts along with levitation and thrust force characteristics by 3-D FEM calculations. A static force tester for a hybrid-excited LSM has been manufactured and tested in order to verify these predictions. The experimental results confirm the validity of the 3-D FEM calculation scheme for the description of a hybrid-excited LSM.

Impact Behavior of Laminated Composite using Progressive Failure Model (단계적 파괴 모델에 의한 적층 복합재료의 충격거동 해석)

  • 강문수;이경우;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.102-105
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    • 2000
  • Recently, applications of integrated large composite structures have been attempted to many structures of vehicles. To improve the cost performance and reliability of the integrated composite structures, it is necessary to judge structural integrity of the composite structures. For the judgement, we need fracture simulation techniques for composite structures. Many researches oil the fracture simulation method using FEM have been reported by now. Most of the researches carried out simulations considering only matrix cracking and fiber breaking as fracture modes, and did not consider delamination. Several papers have reported the delamination simulation, but all these reports require three-dimensional elements or quasi three- dimensional elements for FEM analysis. Among fracture mechanisms of composite laminates, delamination is the most important factor because it causes stiffness degradation in composite structures. It is known that onset and propagation of delamination are dominated by the strain energy release rate and interfacial moment. In this study, laminated composite has been described by using 3 dimensional finite elements. Then impact behavior of the laminated composite is simulated using FEM(ABAQUS/Explicit) with progressive failure mechanism. These results are compared with experimental results.

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Modeling of pile end resistance considering the area of influence around the pile tip

  • Hyodo, Junichi;Shiozaki, Yoshio;Tamari, Yukio;Ozutsumi, Osamu;Ichii, Koji
    • Geomechanics and Engineering
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    • v.17 no.3
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    • pp.287-294
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    • 2019
  • The finite element method (FEM) is widely used to evaluate the seismic performance of pile-supported buildings. However, there are problems associated with modeling the pile end resistance using the FEM, such as the dependence on the mesh size. This paper proposes a new method of modeling around the pile tip to avoid the mesh size effect in two-dimensional (2D) analyses. Specifically, we consider the area of influence around the pile tip as an artificial constraint on the behavior of the soil. We explain the problems with existing methods of modeling the pile tip. We then conduct a three-dimensional (3D) analysis of a pile in various soil conditions to evaluate the area of influence of the soil around the pile tip. The analysis results show that the normalized area of influence extends approximately 2.5 times the diameter of the pile below the pile tip. Finally, we propose a new method for modeling pile foundations with artificial constraints on the nodal points within the area of influence. The proposed model is expected to be useful in the practical seismic design of pile-supported buildings via a 2D analysis.