• Title/Summary/Keyword: Finite Element Method, FEM

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The applications and conduct of vibration equations for constrained layered damped plates with impact

  • Luo, G.M.;Lee, Y.J.;Huang, C.H.
    • Steel and Composite Structures
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    • v.8 no.4
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    • pp.281-296
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    • 2008
  • Visco-elastic material and thin metals were adhered to plate structures, forming the composite components that are similar to the sandwich plates, called constrained layered damped (CLD) plates. Constrained layer damping has been utilized for years to reduce vibration, and advances in computation and finite element analysis software have enabled various problems to be solved by computer. However, some problems consume much calculation time. The vibration equation for a constrained layered damped plate with simple supports and an impact force is obtained theoretically herein. Then, the results of the vibration equation are compared with those obtained using the finite element method (FEM) software, ABAQUS, to verify the accuracy of the theory. Finally, the 3M constrained layer damper SJ-2052 was attached to plates to form constrained layered damped plates, and the vibration equation was used to elucidate the damping effects and vibration characteristics.

Finite Element Analysis on Negative Clearance Blanking of AL6061-T6 Foil (음의 클리어런스를 갖는 AL6061-T6 포일 블랭킹의 유한요소해석)

  • Song, Shin-Hyung;Choi, Woo Chun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.25 no.4
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    • pp.290-294
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    • 2016
  • A finite element method (FEM) study was performed on micro-scale blanking of an AL6061-T6 foil with negative clearance. ABAQUS/explicit was used to prepare a simulation model of negative clearance blanking with tools having an edge radius comparable to the foil thickness. The Johnson-Cook plastic flow model was used in the simulations for the material flow. The FEM model was used to study the effects of various blanking parameters on the negative clearance blanking process and quality of the blank. In particular, the projecting edge on the bottom of the blank was observed. Research on negative blanking at the micro-scale is summarized and discussed.

True Stress-True Strain Curve Fitting Methodology for Finite Element Analysis (유한요소해석을 위한 재료의 진응력-진변형률 커브 피팅 방법론)

  • Kim, Y.J.;Gu, G.H.;Seo, M.H.;Kim, H.S.
    • Transactions of Materials Processing
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    • v.31 no.4
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    • pp.194-199
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    • 2022
  • In finite element method (FEM) simulations, constitutive models are widely used and developed to represent a wide range of true stress-strain curves using a small number of modeling parameters. Nevertheless, many studies has been conducted to find a suitable constitutive model and optimal modeling parameters to represent experimentally obtained true stress-strain curves. Therefore, in this study, a new constitutive modeling approach using the combined Swift and Voce model is suggested, and confirmed through comparisons of the experimental results with the FEM simulation results.

Analysis of Signal Propagation in Nonlinear Optical Fiber using SS-FEM with Sparse Matrix (희귀행렬 SS-FEM에 의한 비선형 광섬유의 전송신호 해석)

  • Jeong, Baek-Ho;Lee, Ho-Jun
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.49 no.1
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    • pp.52-58
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    • 2000
  • Signal propagation in nonlinear optical fiber is analyzed numerically by using SS-FEM (Split-Step Finite Element Method). By adopting cubic element function in FEM, soliton equation of which exact solution was well known, has been solved. Also, accuracy of numerical results and computing times are compared with those of Fourier method, and we have found that solution obtained from using FEM was very relatively accurate. Especially, to reduce CPU time in matrix computation in each step, the matrix imposed by the boundary condition is approximated as a sparse matrix. As a result, computation time was shortened even with the same or better accuracy when compared to those of the conventional FEM and Fourier method.

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Elastodynamic analysis by a frequency-domain FEM-BEM iterative coupling procedure

  • Soares, Delfim Jr.;Goncalves, Kleber A.;de Faria Telles, Jose Claudio
    • Coupled systems mechanics
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    • v.4 no.3
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    • pp.263-277
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    • 2015
  • This paper presents a coupled FEM-BEM strategy for the numerical analysis of elastodynamic problems where infinite-domain models and complex heterogeneous media are involved, rendering a configuration in which neither the Finite Element Method (FEM) nor the Boundary Element Method (BEM) is most appropriate for the numerical analysis. In this case, the coupling of these methodologies is recommended, allowing exploring their respective advantages. Here, frequency domain analyses are focused and an iterative FEM-BEM coupling technique is considered. In this iterative coupling, each sub-domain of the model is solved separately, and the variables at the common interfaces are iteratively updated, until convergence is achieved. A relaxation parameter is introduced into the coupling algorithm and an expression for its optimal value is deduced. The iterative FEM-BEM coupling technique allows independent discretizations to be efficiently employed for both finite and boundary element methods, without any requirement of matching nodes at the common interfaces. In addition, it leads to smaller and better-conditioned systems of equations (different solvers, suitable for each sub-domain, may be employed), which do not need to be treated (inverted, triangularized etc.) at each iterative step, providing an accurate and efficient methodology.

A meshfree method based on adaptive refinement method and its application for deformation analysis (변형해석을 위한 적응적 세분화방법에 기초한 무요소법)

  • Han, Kyu-Taek
    • Design & Manufacturing
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    • v.7 no.1
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    • pp.34-39
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    • 2013
  • The finite element method(FEM) presents some limitations when the mesh becomes highly distorted. For analysis of metal forming processes with large deformation, the conventional finite element method usually requires several remeshing operations due to severe mesh distortion. The new computational method developed in the recent years, usually designated by meshfree method, offers an attractive approach to avoid those time-consuming remeshing efforts. This new method uses a set of points to represent the problem domain with no need of an additional mesh. Also this new generation of computational method provides a higher rate of convergence than that of the conventional finite element methods. One of the promising applications of meshfree methods is the adaptive refinement for problems having multi-scale nature. In this study, an adaptive node generation procedure is proposed and also to illustrate the efficiency of proposed method, several numerical examples are presented.

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A Study on the Corona Discharge Simulation Using FEM-FCT Method (FEM-FCT 기법을 이용한 코로나 방전 시뮬레이션에 대한 연구)

  • Min, Ung-Gi;Kim, Hyeong-Seok;Lee, Seok-Hyeon;Han, Song-Yeop
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.48 no.3
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    • pp.200-208
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    • 1999
  • In this paper, the corona discharge is analyzed by Finite Element Method(FEM) combined with Flux-corrected Transport(FCT) algorithm. In the previous papers, Finite Difference Method(FDM) combined with FCT was used. Usually in the FDM, the regionof interest is discretized with structured grids. But to refine local regions with same resolution, much more grids are required for the structured grids than for unstructured grids than for unstructured grids. Therefore, we propose the FEM-FCT method to simulate the corona discharge. The proposed method has good flexibility in model shape and can reduce the computational cost by the local refinement where the physical quantities have steep gradients. Using the proposed method, we study the streamer growth of parallel plate electrodes which is initiated by the low and high perturbation density. We find that the varying the initial density of perturbation has very little effect on the streamer propagation. And the corona discharge of the rod-to-plane electrode is simulated. On the surface of the rod electrode, the high concentration of the electric field gives rise to many number of streamer seeds. The strong axial streamer propagate to the plane electrode. The weaker non-axial streamer repel each other and stop growing more. The results are very similar to those of the papers which used the FDM-FCT method on structured grids. Thus we can conclude that the proposed FEM-FCT method is more efficient than the conventional FDM-FCT method by virtue of the reduction in computational grids number.

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A Study on the Combined Use of Exact Dynamic Elements and Finite Elements (엄밀한 동적 요소와 유한 요소 통합 해석 방법에 관한 연구)

  • 홍성욱;조용주;김종선
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.141-149
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    • 2002
  • Although the finite element method has become an indispensible tool for the dynamic analysis of structures, difficulty remains to quantify the errors associated with discretization. To improve the modeling accuracy, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for the Timoshenko beam element are derived using the exact dynamic element modeling (EDEM) and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. A combined use of finite element method and exact interpolation functions is presented to gain more accurate mode shape functions. This paper also presents a combined use of finite elements and exact dynamic elements in design/reanalysis problems. Timoshenko flames with tapered sections are tested to demonstrate the design procedure with the proposed method. The numerical study shows that the combined use of finite element model and exact dynamic element model is very useful.

Analysis of Switched Reluctance Motors using Parameters obtained by Finite Element Method (유한요소법으로 계산한 파라메타를 이용한 스위치드 릴럭턴스 모타의 해석)

  • Lee, Joon-Ho;Lee, Sang-Ho;Lee, Ki-Sik
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.47-50
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    • 1997
  • The FEM(Finite Element Method) can be used to analysis SRM(Switched Reluctance Motor) as it can account for the salient pole geometry of the stator and rotor and the nonlinear properties of the magnetic materials. However, FEM requirers a lot of computer memory and computing time because, the kind of SRM drivers is verity and the switching strategies are various for one SRM driver. In this paper we proposed the method of analysis of a SRM which results are similar to FEM and has very short computing time. The Inductance and torque for each phase current at each rotor position are calculated by using two-dimensional nonlinear FEM analysis. Using the look-up table of inductance and torque and the voltage equations of SRM we obtained the phase current and torque. To verify proposed algorithm, 3 phase 6/4 SRM is analysed and found a good agreement with FEM results. And computing time is about 1/1600 of the FEM analysis.

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FEM Analysis of Rubber Cover for Automotive Parts (FEM에 의한 자동차부품용 고무커버에 관한 해석)

  • 김상우;김인관;강태호;김영수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.778-781
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    • 2002
  • Durability of rubber dust cover in the ball joint for automotive suspension parts were analyzed by FEM and compared with experimental data. Upper open area of ball joint is sealed by dust cover for preventing outflow of the lubricating oil and intrusion of send, dust, water, etc. This rubber cover undergoes repeated loadings such as tension and compression while the car is running. Analysis about rubber material needs to consider every kinds of nonlinearities arise in finite element analysis, which are geometric nonlinearity due to large displacement and small strain, materially nonlinearity and nonlinear boundary condition such as contact. So in the study, the deformation behavior of dust cover was analysed by using the commercial finite element program MARC. This program could solve these kinds of nonlinear analysis accurately. Finite element model of dust cover is considered as 3-dimensional half model based on 2-dimensional axisymmetric model. Material property of rubber was modeled by Ogden model and input data for calculation takes form uniaxial tension test of rubber specimen, The final object of the study is obtaining the design specification of dust covers and the result of analysis should be a useful data to design of rubber

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