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

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In-Plane Vibration Analysis of General Plates (일반 평판의 면내 진동 해석)

  • Choi, M.S.;Yeo, D.J.;Byun, J.H.;Suh, J.J.;Yang, J.K.
    • Journal of Power System Engineering
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    • v.11 no.4
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    • pp.78-85
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    • 2007
  • In order to analyze accurately the vibration of a structure by using the finite element method (FEM), we have to model a analytical structure as a numerical model with many degrees-of-freedom. However, in this case, the FEM needs much computation time and storage. The authors developed the finite element-transfer stiffness coefficient method (FE-TSCM) for overcoming the drawback of the FEM. In this paper, the authors apply the FE-TSCM to the in-plane vibration analysis of general plates with various shapes. Two numerical examples, a rectangular plate and a triangular plate, are used to compare the results of the FE-TSCM and the FEM. Through the numerical calculation, we confirm that the FE-TSCM can be applied to the in-plane free or forced vibration analysis of the general plates with various shapes and is effective to in-plane vibration analysis of general plates.

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Acoustic Analysis of a Duct with Mean Flow by Use of FEM (유한요소법을 이용한 유체속도가 고려된 덕트의 음향특성 해석)

  • 서영수;정의봉;윤상돈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.1026-1031
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    • 2002
  • This paper shows the effect of mean flow in duct. The potential equation of duct with mean flow is obtained. A finite element method(FEM) is used to predict acoustic performance of duct with mean flow. The formulation of the finite element method is derived for duct taking into consideration of the convective effect of mean flow. A simple duct, simple expansion chamber and a duct with resonator are implemented to show the effects of the mean flow.

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Finite Element Analysis of Synchronous Reluctance Motor Considering Iron Core Loss (철손을 고려한 동기형 릴럭턴스 전동기의 유한요소해석)

  • Lee, Jung-Ho;Hyeon, Dong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.4
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    • pp.187-193
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    • 1999
  • This study investigates the hysteresis phenomena of a Synchronous Reluctance Motor (SynRM) using coupled FEM and Preisach modeling. Preisach's model, which allows accurate prediction of hysteresis, is adopted in this procedure to provide a nonlinear solution. the computer simulation and experimental result for the i$\lambda$loci show the propriety of the proposed method.

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Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.663-678
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    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

A Calculation of the Capacitance of a Shielded Microstrip Line using the Finite Element Method (FEM을 이용한 Shielded Microstrip Line의 정전용량 해석)

  • Lee, Woo-Chan;Kim, Hyung-Suk;Rayan, Adel
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1664-1665
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    • 2011
  • This paper presents a derivation of the capacitance of a shielded microstrip line using the Finite Element Method (FEM). The first approach adopts a 2-D version of Gauss's theorem and an approximation of integral to finite differencing. In this case, the choice of a contour and the size of a mesh affects the validity of the capacitance. Next, the method for deriving the capacitance by using of energy relation is shown. Finally, the simulation results are compared to those of the commercial tool (COMSOL) adopted FEM.

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Evaluation of the Efficiency Uncertainty for an Inverter-fed Three-Phase Induction Motor (인버터 구동 3상 유도전동기의 효율 불확도 평가)

  • Lee, Ho-Hyun;Park, Han-Seok;Jun, Hee-Deuk;Kim, Dae-Kyong;Woo, Kyung-Il
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.6
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    • pp.724-729
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    • 2018
  • This paper presented an evaluation method for the efficiency uncertainty of an inverter-fed three-phase induction motor using FEM. The motor efficiency in the FEM is calculated by the IEC 60034-2-3 as in the actual test. In the process of evaluating the efficiency uncertainty, the difference between the finite element method and the actual test is the method of calculating the type-A / B standard uncertainty of the input quantity to estimate the efficiency and each losses. For the input quantities which can confirm the instantaneous values with respect to time, the type-A standard uncertainty in the FEM is calculated from the RMS values or average values having separate periods in the steady state. And, the type-B standard uncertainty in the finite element method is assumed to be zero. Also, this paper compared and analyzed the efficiency uncertainty evaluated by the proposed method and the efficiency uncertainty through the actual test.

Calculation of Cavity Flow with FEM & Finite Spectral Method

  • Wang Jian-Ping;Li Ting-Wen
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.131-133
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    • 2003
  • The streamfunction-vorticity equations for two-dimentional cavity flow are solved by a new finite element method which uses finite spectral basis functions as interpolation functions for rectangular elements. Results for several cases with different Renold's number are compared with benchmark solutions and found to be in well agreement.

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Notched Strength Analysis of CRALL Materials by FEM (I) (FEM에 의한 CRALL재의 노치강도 해석(I))

  • Yoon, Han-Ki
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.41-50
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    • 1999
  • As for the properties on both the aluminum and the CFRP which are used to make A17075/CFRP multi-layered hybrid composites, CRALL(carbon reinforced aluminum laminate). In the CRALL specimen for rule of mixture, we were analyzed notched strength by finite element method. The results obtained from FEM analysis are as follows; In the unnotch CRALL specimen, the stresses CFRP, epoxy, Al 7075 obtained by finite element method strength solution for A/C0001, when strain is 0.28%, are 1400MPa, 38MPa, 411MPa. respectively and for A/C9991, when strain 0.48%, are 392MPa, 26MPa and 321Mpa, respectively. the solpe of the stress-strain curve by FEM increases in keeping with the hole size and the yield strain decrease to 36% and 55% for A/C9993 and A/C9991 respectively.

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Improvement of the finite element dynamic model by using exact dynamic elements (엄밀한 동적 요소를 이용한 유한 요소 동적 모델의 개선)

  • Cho, Yong-Ju;Kim, Jong-Wook;Hong, Seong-Wook
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.590-595
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    • 2001
  • To improve the modeling accuracy for the finite element method, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for a Timoshenko beam element are derived and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. The exact interpolation functions are used to gain more accurate mode shape functions for the finite element method. This paper also presents a combined use of finite elements and exact dynamic elements in design problems. A Timoshenko frame with tapered sections is tested to demonstrate the design procedure with the proposed method.

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Probabilistic shear-lag analysis of structures using Systematic RSM

  • Cheng, Jin;Cai, C.S.;Xiao, Ru-Cheng
    • Structural Engineering and Mechanics
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    • v.21 no.5
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    • pp.507-518
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    • 2005
  • In the shear-lag analysis of structures deterministic procedure is insufficient to provide complete information. Probabilistic analysis is a holistic approach for analyzing shear-lag effects considering uncertainties in structural parameters. This paper proposes an efficient and accurate algorithm to analyze shear-lag effects of structures with parameter uncertainties. The proposed algorithm integrated the advantages of the response surface method (RSM), finite element method (FEM) and Monte Carlo simulation (MCS). Uncertainties in the structural parameters can be taken into account in this algorithm. The algorithm is verified using independently generated finite element data. The proposed algorithm is then used to analyze the shear-lag effects of a simply supported beam with parameter uncertainties. The results show that the proposed algorithm based on the central composite design is the most promising one in view of its accuracy and efficiency. Finally, a parametric study was conducted to investigate the effect of each of the random variables on the statistical moment of structural stress response.