• Title/Summary/Keyword: finite element solutions

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On the Study of Nonlinear Wave Diffraction by the Breakwaters (방파제 주위에서의 비선형 회절 현상에 대한 고색)

  • 조일형;김장환
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.350-356
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    • 1993
  • We carry out a numerical calculation to understand the nonlinear wave deformation around breakwaters using the Boussinesq equation, which is weakly nonlinear and weakly dispersive shallow water equation. A numerical method based on a finite element scheme and fourth order Runge-Kutta algorithm is employed to investigate the diffraction of incident waves by the breakwater. As a computational model, two-dimensional wave flume is treated. The breakwaters is perpendicular to the side wall of a channel. From the numerical results, the wave deformations according to the change of the length and the thickness of breakwaters are investigated. We also investigate the effect of the nonlinearity by comparing the results with the linear solutions.

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Optimal Rotor Shape Design of Asymmetrical Multi-Layer IPM Motors to Improve Torque Performance Considering Irreversible Demagnetization

  • Mirazimi, M.S.;Kiyoumarsi, A.;Madani, Sayed M.
    • Journal of Electrical Engineering and Technology
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    • v.12 no.5
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    • pp.1980-1990
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    • 2017
  • A study on the multi-objective optimization of Interior Permanent-Magnet Synchronous Motors (IPMSMs) with 2, 3, 4 and 5 flux barriers per magnetic pole, based on Genetic Algorithm (GA) is presented by considering the aspect of irreversible demagnetization. Applying the 2004 Toyota Prius single-layer IPMSM as the reference machine, the asymmetrical two-, three-, four- and five-layer rotor models with the same amount of Permanent-Magnets (PMs) is presented to improve the torque characteristics, i.e., reducing the torque pulsation and increasing the average torque. A reduction of the torque pulsations is achieved by adopting different and asymmetrical flux barrier geometries in each magnetic pole of the rotor topology. The demagnetization performance in the PMs is considered as well as the motor performance; and analyzed by using finite element method (FEM) for verification of the optimal solutions.

Dynamic Analysis of Base-Isolated Rectangular Liquid Storage Structures (기초격리된 직사각형 유체 저장 구조물의 동적 해석)

  • Park, Jang-Ho
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.109-116
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    • 2004
  • The dynamic behavior of the rectangular liquid storage structure is known to be greatly influenced by fluid-structure interaction. By mounting the liquid storage structure on the properly designed base isolators, dynamic response of the superstructure can be reduced. However, base isolators inevitably incur large displacement of the structure to the ground ·ind may give adverse effects on the sloshing height. This paper presents the analysis method for fluid-structure-isolator interaction in base-isolated rectangular liquid storage structures. In the method, the irrotational motion of invicid and incompressible ideal fluid is expressed by analytic solutions and the superstructure and isolators are properly modeled by finite element and bilinear model. Free surface sloshing motion, hydrodynamic pressure acting on the wall and structural response are obtained by the presented method.

Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions

  • Naserian-Nik, A.M.;Tahani, M.
    • Structural Engineering and Mechanics
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    • v.35 no.2
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    • pp.217-240
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    • 2010
  • A semi-analytical method is presented for accurately prediction of the free vibration behavior of generally laminated composite plates with arbitrary boundary conditions. The method employs the technique of separation of spatial variables within Hamilton's principle to obtain the equations of motion, including two systems of coupled ordinary homogeneous differential equations. Subsequently, by applying the laminate constitutive relations into the resulting equations two sets of coupled ordinary differential equations with constant coefficients, in terms of displacements, are achieved. The obtained differential equations are solved for the natural frequencies and corresponding mode shapes, with the use of the exact state-space approach. The formulation is exploited in the framework of the first-order shear deformation theory to incorporate the effects of transverse shear deformation and rotary inertia. The efficiency and accuracy of the present method are demonstrated by obtaining solutions to a wide range of problems and comparing them with finite element analysis and previously published results.

Free vibration and elastic analysis of shear-deformable non-symmetric thin-walled curved beams: A centroid-shear center formulation

  • Kim, Nam-Il;Kim, Moon-Young
    • Structural Engineering and Mechanics
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    • v.21 no.1
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    • pp.19-33
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    • 2005
  • An improved shear deformable thin-walled curved beam theory to overcome the drawback of currently available beam theories is newly proposed for the spatially coupled free vibration and elastic analysis. For this, the displacement field considering the shear deformation effects is presented by introducing displacement parameters defined at the centroid and shear center axes. Next the elastic strain and kinetic energies considering the shear effects due to the shear forces and the restrained warping torsion are rigorously derived. Then the equilibrium equations are consistently derived for curved beams with non-symmetric thin-walled sections. It should be noticed that this formulation can be easily reduced to the warping-free beam theory by simply putting the sectional properties associated with warping to zero for curved beams with L- or T-shaped sections. Finally in order to illustrate the validity and the accuracy of this study, finite element solutions using the isoparametric curved beam elements are presented and compared with those in available references and ABAQUS's shell elements.

Buckling of monopod bucket foundations-influence of boundary conditions and soil-structure interaction

  • Madsen, Soren;Pinna, Rodney;Randolph, Mark;Andersen, Lars V.
    • Wind and Structures
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    • v.21 no.6
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    • pp.641-656
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    • 2015
  • Using large monopod bucket foundations as an alternative to monopiles for offshore wind turbines offers the potential for large cost savings compared to typical piled foundations. In this paper, numerical simulations are carried out to assess the risk of structural buckling during installation of large-diameter bucket foundations. Since shell structures are generally sensitive to initially imperfect geometries, eigenmode-affine imperfections are introduced in a nonlinear finite-element analysis. The influence of modelling the real lid structure compared to classic boundary conditions is investigated. The effects of including soil restraint and soil-structure interaction on the buckling analysis are also addressed.

Numerical investigations on the turbulence driven responses of a plate in the subcritical frequency range

  • De Rosa, S.;Franco, F.;Gaudino, D.
    • Wind and Structures
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    • v.15 no.3
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    • pp.247-261
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    • 2012
  • Some numerical investigations are presented concerning the response of a given plate under turbulence driven excitations. Three different input loads are simulated according to the wall pressure distributions derived from the models proposed by Corcos, Efimtsov and Chase, respectively. Modal solutions (finite element based) are used for building the modal stochastic responses in the sub-critical aerodynamic frequency range. The parametric investigations concern two different values of the structural damping and three values of the boundary layer thickness. A final comparison with available experimental data is also discussed. The results demonstrate that the selection of the adequate TBL input model is still the most critical step in order to get a good prediction.

On the $L_2(\Omega)$-error for the p-version under numerical quadrature rules

  • Kim, Ik-Sung
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.503-514
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    • 1996
  • We consider non-constant coefficient elliptic equations of the type -div(a \bigtriangledown u) = f$, and employ the P-version of the finite element method as a numerical method for the approximate solutions. To compute the integrals in the variational form of the discrete problem we need the numerical quadrature rule scheme. In practice the integrations are seldom computed exactly. In this paper, we give an $L_2(\Omega)$-error estimate of $\Vert u = \tilde{u}_p \Vert_{0,omega}$ in comparison with $\Vert u = \tilde{u}_p \Vert_{1,omega}$, under numerical quadrature rules which are used for calculating the integrations in each of the stiffness matrix and the load vector.

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Analysis on Thrust Characteristics of Slotless Iron-Cored PMLSM According to PM Magnetization Patterns

  • Jang Seok-Myeong;You Dae-Joon;Lee Sung-Ho;Jang Won-Bum
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.5B no.1
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    • pp.27-33
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    • 2005
  • The development of modern high-energy magnet materials has allowed the replacement of field coils in many different types of electromagnetic energy conversion machines. As well, the linear synchronous motor has recently been proposed for linear motion with high efficiency and thrust. Thus, this paper presents an analytical solution for the high thrust and cost reduction of the Iron-Cored Permanent Magnet Linear Synchronous Motor (PMLSM) considering magnetization arrays and geometry. Hence, the superior utilization points in each of the magnetization arrays are provided by the height ratio of the magnet/air-gap and magnet/winding coil, etc. In formulation, the space harmonic method in analytical solutions and the generalized 2-D tensor finite element analysis can be used to evaluate force components in magneto static devices including the magnetostrictive phenomenon.

Temperature Distribution and Heat Transfer of Rectangular Cross-Section by the Finite Element Method (유한요소법(有限要素法)에 의(依)한 구형단면(矩形斷面)의 온도분포(溫度分布)와 열전도(熱傳導))

  • Yong, Ho-Taek;Seo, Jeong-Il;Im, Jang-Sun
    • Solar Energy
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    • v.1 no.1
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    • pp.23-29
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    • 1981
  • This paper studied the temperature distribution and heat transfer at a rectangular cross-section. Particularly, as we have known that FEM6, FEM10 can be able to divide FEM3 (25), FEM 3 (49) and we observed it with the details. The approximate solutions (FDM, FEM 3, FEM 3 (25), FEM 3 (49), FEM(6) were compared to the 2-dimensional exact solution. The results of this paper show that FEM 6 is the most accurate temperature profiles and heat transfer, furthermore mean values of the FEM 6 is more accurate than FEM 3(25) and FEM 3 (49).

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