• Title/Summary/Keyword: finite element solutions

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Analysis and Design of Concrete Structures with Strut-Tie Model Approach (스트럿-타이 모델 방법에 의한 콘크리트 구조물의 해석 및 설계)

  • 윤영묵;박문호;박승진
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.251-256
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    • 1995
  • This paper presents an evaluation of the strength and behavior of a tested simply supported rectangular reinforced eoncrete beam and a design example of a shear wall using two-dimensional strut-tie model with finite element nonlinear analysis. Strut-tie models reflecting the actual support and loading conditions are developed for the beam and shear wall. The strut-tie model not only provides simple solutions for large number of design situations dealing with the entire range of concrete structures which appear to be rather complicated but also predicts the behavior and strength of concrete members.

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REMOVAL OF HYPERSINGULARITY IN A DIRECT BEM FORMULATION

  • Lee, BongJu
    • Korean Journal of Mathematics
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    • v.18 no.4
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    • pp.425-440
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    • 2010
  • Using Green's theorem, elliptic boundary value problems can be converted to boundary integral equations. A numerical methods for boundary integral equations are boundary elementary method(BEM). BEM has advantages over finite element method(FEM) whenever the fundamental solutions are known. Helmholtz type equations arise naturally in many physical applications. In a boundary integral formulation for the exterior Neumann there occurs a hypersingular operator which exhibits a strong singularity like $\frac{1}{|x-y|^3}$ and hence is not an integrable function. In this paper we are going to remove this hypersingularity by reducing the regularity of test functions.

J Estimations For Axial Surface Cracked Pipes Under Pressure (축방향 표면균열이 존재하고 내압을 받는 직관의 J 예측 방법)

  • Oh, Chang-Sik;Song, Tae-Kwang;Kim, Yun-Jae
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1824-1829
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    • 2007
  • In the present paper, limit pressures for axial surface cracked pipe are proposed, and a reference stress based J estimation method is also provided based on the proposed limit pressure solutions. Employed cracks are assumed to be constant-depth, internal surface cracks, and wide ranges of variables are considered.

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Inelastic buckling of tapered members with accumulated strain

  • Kim, M.C.;Lee, G.C.;Chang, K.C.
    • Structural Engineering and Mechanics
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    • v.3 no.6
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    • pp.611-622
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    • 1995
  • This paper is concerned with inelastic load carrying capacity of tapered steel members with or without accumulated plastic strains resulted from previous loading histories. A finite element program is developed using stiffness matrices of tapered members and is applicable for analyses with material and geometric nonlinearity. Results of analyses are compared with other available solutions and with experimental results.

CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY κ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

  • Liu, Ying
    • East Asian mathematical journal
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    • v.29 no.3
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    • pp.303-314
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    • 2013
  • In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of asymptotically ${\kappa}$-strict pseudo-contractions in Hilbert spaces. Weak and strong convergence theorems are established for the iterative scheme.

Stress analyses of solids with rectangular holes by 3-D special hybrid stress elements

  • Tian, Z.S.;Liu, J.S.;Fang, B.
    • Structural Engineering and Mechanics
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    • v.3 no.2
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    • pp.193-199
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    • 1995
  • Two kinds of special 3-dimensional 12-node finite elements-each one contains a traction-free planar surface-have been developed based on Hellinger-Reissner principle by assumed stress hybrid method. Example solutions have demonstrated the advantage of using these special elements for analyzing plates and solids with rectangular holes.

Electromagnetic Characteristics Analysis of Thrust Magnetic Bearing/Damper (축방향 자기 베어링/댐퍼의 전자기적 특성해석)

  • Jang, Seok-Myeong;Lee, Un-Ho;Choi, Jang-Young
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.2014-2015
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    • 2007
  • This paper deals with design and analysis of thrust magnetic bearing. Using the solutions obtained from equivalent magnetic circuit, we predict the electromagnetic characteristics such as thrust, time constant and power loss according to design parameters. And then, using non-linear finite element analysis, a detailed design is performed considering saturation in order to meet requirements.

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Improved Degenerated Shell Finite Elements for Analysis of Shell Structures (쉘구조 해석을 위한 개선된 Degenerated 쉘유한요소)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.1
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    • pp.97-107
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    • 1990
  • The development of an improved degenerated shell element is presented in this paper. In the formulation of this element, an enhanced interpolation of transverse shear strains in the natural coordinate system is used to overcome the shear locking problem ; the reduced integration technique in in-plane strains is applied to avoid the membrane locking behavior ; and selective addition of the nonconforming displacement modes improve the element performances. This element is free of serious locking problems and undesirable compatible or commutable spurious kinematic deformation modes, and passes the patch tests. To illustrate the performance of this improved degenerated shell element, some benchmark problems are presented. Numerical results indicate that the new element shows fast convergence and reliable solutions.

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Dynamic Analysis of Plates using a Improved Assumed Natural Strain Shell Element (개선된 자연변형률 쉘 요소를 이용한 판의 진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.6
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    • pp.2284-2291
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    • 2010
  • In this paper, we investigate the vibration analysis of plates, using an 8-node shell element that accounts for the transverse shear strains and rotary inertia. The forced vibration analysis of plates subjected to arbitrary loading is investigated. In order to overcome membrane and shear locking phenomena, the assumed natural strain method is used. To improve an 8-node shell element for forced vibration analysis, the new combination of sampling points for assumed natural strain method was applied. The refined first-order shear deformation theory based on Reissner-Mindlin theory which allows the shear deformation without shear correction factor and rotary inertia effect to be considered is adopted for development of 8-node assumed strain shell element. In order to validate the finite element numerical solutions, the reference solutions of plates are presented. Results of the present theory show good agreement with the reference solution. In addition the effect of damping is investigated on the forced vibration analysis of plates.

Reduction and Analysis for Cogging Torque of Permanent Magnet Synchronous Generators with Multi-Pole Rotor for Wind Power Application (풍력발전용 영구자석 다극 동기발전기의 코깅토크의 해석 및 저감)

  • Jang, Seok-Myeong;Lee, Sung-Ho;Choi, Jang-Young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.3
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    • pp.375-383
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    • 2008
  • This paper deals with reduction and analysis of cogging torque for permanent magnet synchronous generators with multi-pole rotor for wind power applications. Open-circuit field solutions are derived using a magnetic vector potential and a two-dimensional (2-d) polar coordinate systems. On the basis of derived open-circuit field solutions and 2-d permeance functions, we also derive open-circuit field solutions considering stator slotting effects. By using open-circuit field solutions considering stator slotting effects and energy variation methods, this paper analytically predicts the cogging torque considering skew effects. All analytical results are shown in good agreement with those obtained from finite element (FE) analyses. In order to reduce the cogging torque, by predicting the variation of the cogging torque according to pole arc/pitch ratio using analytical and FE methods, pole arc/pitch ratio which makes the cogging torque minimum are determined. However, we confirm that measured value for cogging torque of the PMG with determined pole arc/pitch ratio is twice higher than predicted value. Therefore, the reason for an error between measured and predicted cogging torque is discussed in terms of a shape of PMs and is proved experimentally.