• Title/Summary/Keyword: quasi 3-D

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The Improved Quasi-3D FE Analysis on the AFPM Motor (개선된 Quasi-3D FEM을 통한 AFPM 전동기의 해석)

  • Woo, Dong-Kyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.5
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    • pp.773-776
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    • 2016
  • In the quasi-3D finite element(FE) anlysis, the overall characteristics of axial flux permanent magnet(AFPM) motor could be composed of each computation region. However, A drawback of quasi-3D FEM is not to consider the end effect on the stack end. To address this problem, an improved quasi-3D FE analysis which considers the end effect of the AFPM motor was proposed. From results the 3D FE analysis, the validity of the proposed method is verified.

Analysis and comparison of the 2D/1D and quasi-3D methods with the direct transport code SHARK

  • Zhao, Chen;Peng, Xingjie;Zhang, Hongbo;Zhao, Wenbo;Li, Qing;Chen, Zhang
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.19-29
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    • 2022
  • The 2D/1D method has become the mainstream of the direct transport calculation considering the balance of accuracy and efficiency. However, the 2D/1D method still suffers from stability issues. Recently, a quasi-3D method has been proposed with axial Legendre expansion. Analysis and comparison of the 2D/1D and quasi-3D method is conducted in theory from the equation derivation. Besides, the C5G7 benchmark, the KUCA benchmark and the macro BEAVRS benchmark are calculated to verify the theory comparisons of these two methods with the direct transport code SHARK. All results show that the quasi-3D method has better stability and accuracy than the 2D/1D method with worse efficiency and memory cost. It provides a new option for direct transport calculation with the quasi-3D method.

A new quasi-3D HSDT for buckling and vibration of FG plate

  • Sekkal, Mohamed;Fahsi, Bouazza;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.64 no.6
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    • pp.737-749
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    • 2017
  • A new quasi-3D higher shear deformation theory (quasi-3D HSDT) for functionally graded plates is proposed in this article. The theory considers both shear deformation and thickness-stretching influences by a hyperbolic distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower surfaces of the plate without using any shear correction factor. The highlight of the proposed theory is that it uses undetermined integral terms in displacement field and involves a smaller number of variables and governing equations than the conventional quasi-3D theories, but its solutions compare well with 3D and quasi-3D solutions. Equations of motion are obtained from the Hamilton principle. Analytical solutions for buckling and dynamic problems are deduced for simply supported plates. Numerical results are presented to prove the accuracy of the proposed theory.

A Study on the Comparison Between Full-3D and Quasi-1D Supercompact Multiwavelets (Full-3D와 Quasi-1D Supercompact Multiwavelets의 비교 연구)

  • Park, June-Pyo;Lee, Do-Hyung;Kwon, Do-Hoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.12
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    • pp.1608-1615
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    • 2004
  • CFD data compression methods based on Full-3D and Quasi-1D supercompact multiwavelets are presented. Supercompact wavelets method provide advantageous benefit that it allows higher order accurate representation with compact support. Therefore it avoids unnecessary interaction with remotely located data across singularities such as shock. Full-3D wavelets entails appropriate cross-derivative scaling function & wavelets, hence it can allow highly accurate multi-spatial data representation. Quasi-1D method adopt 1D multiresolution by alternating the directions rather than solving huge transformation matrix in Full-3D method. Hence efficient and relatively handy data processing can be conducted. Several numerical tests show swift data processing as well as high data compression ratio for CFD simulation data.

Quasi-3D Capacitance Extraction Methodology for the Multi-layer Interconnects (다층 배선에서의 Quasi-3D 커패시턴스 추출)

  • 진우진;어영선
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.979-982
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    • 1999
  • A new accurate as well as efficient multi-layer interconnect capacitance extraction method is presented. Since Multi-layer interconnects is too complicated to directly extract capacitances, it is simplified with virtual ground concept. To make the structure tractable, the shielding effects should be separately determined. Since the electric field shielding effects, and the solid-ground-based capacitance matrices can be readily determined from the layout geometry, the accurate as well as efficient quasi-3D capacitances concerned with an objective line can be readily determined. In order to demonstrate its efficiency and accuracy, the parameters and circuit responses were benchmarked with 3D-field-solver-based results.

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A new quasi-3D sinusoidal shear deformation theory for functionally graded plates

  • Benchohra, Mamia;Driz, Hafida;Bakora, Ahmed;Tounsi, Abdelouahed;Adda Bedia, E.A.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.19-31
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    • 2018
  • In this paper, a new quasi-3D sinusoidal shear deformation theory for functionally graded (FG) plates is proposed. The theory considers both shear deformation and thickness-stretching influences by a trigonometric distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower faces of the plate without employing any shear correction coefficient. The advantage of the proposed model is that it posses a smaller number of variables and governing equations than the existing quasi-3D models, but its results compare well with those of 3D and quasi-3D theories. This benefit is due to the use of undetermined integral unknowns in the displacement field of the present theory. By employing the Hamilton principle, equations of motion are obtained in the present formulation. Closed-form solutions for bending and free vibration problems are determined for simply supported plates. Numerical examples are proposed to check the accuracy of the developed theory.

A new hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D)

  • Belkhodja, Y.;Ouinas, D.;Fekirini, H.;Olay, J.A. Vina;Achour, B.;Touahmia, M.;Boukendakdji, M.
    • Smart Structures and Systems
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    • v.29 no.3
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    • pp.395-420
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    • 2022
  • A new hybrid quasi-3D and 2D high-order shear deformation theory is studied in this mathematical formulation, for an investigation of the bending, free vibrations and buckling influences on a functionally graded material plate. The theoretical formulation has been begun by a displacement field of five unknowns, governing the transverse displacement across the thickness of the plate by bending, shearing and stretching. The transverse shear deformation effect has been taken into consideration, satisfying the stress-free boundary conditions, especially on plate free surfaces as parabolic variation through its thickness. Thus, the mechanical properties of the functionally graded plate vary across the plate thickness, following three distributions forms: the power law, exponential form and the Mori-Tanaka scheme. The mechanical properties are used to develop the equations of motion, obtained from the Hamilton principle, and solved by applying the Navier-type solution for simply supported boundary conditions. The results obtained are compared with other solutions of 2D, 3D and quasi-3D plate theories have been found in the literature.

Effect of material composition on bending and dynamic properties of FG plates using quasi 3D HSDT

  • Damani, Bakhti;Fekrar, Abdelkader;Selim, Mahmoud M.;Benrahou, Kouider Halim;Benachour, Abdelkader;Tounsi, Abdelouahed;Bedia, E.A. Adda;Hussain, Muzamal
    • Structural Engineering and Mechanics
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    • v.78 no.4
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    • pp.439-453
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    • 2021
  • In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bending and dynamic analysis of functionally graded (FG) plates. The effect of varying material properties and volume fraction of the constituent on dynamic and bending behavior of the FG plate is discussed. The benefit of this model over other contributions is that a number of variables is diminished. The developed model considers nonlinear displacements through the thickness and ensures the free boundary conditions at top and bottom faces of the plate without using any shear correction factors. The basic equations that account for the effects of transverse and normal shear stresses are derived from Hamilton's principle. The analytical solutions are determined via the Navier procedure. The accuracy of the proposed formulation is proved by comparisons with the different 2D, 3D and quasi-3D solutions found in the literature.

Quasi-3D analysis of Axial Flux Permanent Magnet Rotating Machines using Space Harmonic Methods (공간고조파법을 이용한 축 자속 영구자석 회전기기의 준(準)-3D 특성 해석)

  • Choi, Jang-Young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.5
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    • pp.942-948
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    • 2011
  • This paper deals with characteristic analysis of axial flux permanent magnet (AFPM) machines with axially magnetized PM rotor using quasi-3-D analysis modeling. On the basis of magnetic vector potential and a two-dimensional (2-D) polar-coordinate system, the magnetic field solutions due to various PM rotors are obtained. In particular, 3-D problem, that is, the reduction of magnetic fields near outer and inner radius of the PM is solved by introducing a special function for radial position. And then, the analytical solutions for back-emf and torque are also derived from magnetic field solutions. The predictions are shown in good agreement with those obtained from 3-D finite element analyses (FEA). Finally, it can be judged that analytical solutions for electromagnetic quantities presented in this paper are very useful for the AFPM machines in terms of following items : initial design, sensitivity analysis with design parameters, and estimation of control parameters.

Field Observation and Quasi-3D Numerical Modeling of Coastal Hydrodynamic Response to Submerged Structures

  • Yejin Hwang;Kideok Do;Inho Kim;Sungyeol Chang
    • Journal of Ocean Engineering and Technology
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    • v.37 no.2
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    • pp.68-79
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    • 2023
  • Even though submerged breakwater reduces incident wave energy, it redistributes the coastal area's wave-induced current, sediment transport, and morphological change. This study examines the coastal hydrodynamics and the morphological response of a wave-dominated beach with submerged breakwaters installed through field observation and quasi-3D numerical modeling. The pre-and post-storm bathymetry, water level, and offshore wave under storm forcing were collected in Bongpo Beach on the East coast of Korea and used to analyze the coastal hydrodynamic response. Four vertically equidistant layers were used in the numerical simulation, and the wave-induced current was examined using quasi-3D numerical modeling. The shore normal incident wave (east-northeast) generated strong cross-shore and longshore currents toward the hinterland of the submerged breakwater. However, the oblique incident wave (east-southeast) induced the southeastward longshore current and the sedimentation in the northeast area of the beach. The results suggested that the incident wave direction is a significant factor in determining the current and sediment transport patterns in the presence of the submerged breakwaters. Moreover, the quasi-3D numerical modeling is more appropriate for estimating the wave transformation, current, and sediment transport pattern in the coastal area with the submerged breakwater.