Homogenization of multi-turn coil with elliptic cross-section using complex permeability

2019 ◽  
Vol 38 (3) ◽  
pp. 999-1008 ◽  
Author(s):  
Shogo Fujita ◽  
Hajime Igarashi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Cross Section ◽  
Fe Analysis ◽  
Complex Permeability ◽  
Elliptic Cross Section ◽  
Content Type ◽  
Elliptic Cross ◽  
Good Agreement

Purpose The tensor complex permeability of a multi-turn coil with elliptic cross-section is analytically expressed. In field analysis, a multi-turn coil can be modeled by the uniform material that has the present tensor complex permeability. It is shown that the frequency characteristic of the present tensor complex permeability is in good agreement with that evaluated by finite element method applied to a unit cell of the multi-turn coil region. Design/methodology/approach The authors introduce a new method to evaluate the complex permeability of a multi-turn rectangular coil. To obtain the complex permeability of a rectangular coil in a closed form, it is approximated as an elliptic coil. Because the rectangular coil has different complex permeabilities in the vertical and horizontal directions, the complex permeability have to be defined in a tensor form. It suffices to discretize the coil region into rather coarse finite elements without considering the skin depth in contrast to the conventional finite element method. Findings The proposed method is shown to give the impedance of multi-turn coils which is in good agreement with results obtained by the conventional finite element (FE) analysis. By extending the proposed approach, the authors can easily perform 3D FE analysis without difficulty in discretization of the coil region with fairly fine finite elements. Moreover, they found that the approximation of rectangular coils as the elliptic coils is valid for analysis of quasi-static fields using this homogenization method. Originality/value The novelty of this study is in the approximation of the rectangular coils with elliptic coils, and the complex permeability for them is formulated here in a closed form. The proposed formula includes that for the round coils. Using the present method, the authors analyze the rectangular coils without fine discretization.

scholarly journals On the stability analysis of flows in channels of elliptic cross section using the finite element method on unstructured meshes

2020 ◽  
pp. 373-387
Author(s):  
Н.В. Клюшнев
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Cross Section ◽  
Unstructured Meshes ◽  
Flow Stability ◽  
Elliptic Cross Section ◽  
The Finite Element Method ◽  
Elliptic Cross ◽  
Element Method

Существующая технология численного анализа устойчивости течений вязкой несжимаемой жидкости в каналах постоянного сечения была ранее расширена на случай локальных пространственных аппроксимаций на неструктурированных сетках, приводящих к задачам с большими разреженными матрицами. Для пространственной аппроксимации при этом используется метод конечных элементов, а для решения частичных проблем собственных значений, возникающих при исследовании устойчивости течений, эффективный метод ньютоновского типа. В данной работе проводится подробное численное исследование предложенного подхода на примере двумерной конфигурации — течения Пуазейля в канале эллиптического сечения. Работоспособность подхода демонстрируется для широкого диапазона отношений длин полуосей сечения вплоть до отношения, при котором данное течение становится линейно неустойчивым. Показана сходимость ведущей части спектра по шагу сетки и совпадение результатов с результатами, полученными на основе аппроксимации спектральным методом коллокаций. The existing technique for the numerical analysis of incompressible fluid flow stability in channels of constant cross section was earlier extended to the case of local spatial approximations on unstructured meshes, which leads to large sparse matrices. The finite element method is employed for spatial approximation and a new efficient Newton-type method is used to solve partial eigenvalues problems arising in flow stability analysis. A detailed numerical study of the proposed approach is carried out in this paper by the example of Poiseuille flow in a channel of elliptic cross section. Performance ability of the approach is demonstrated for a wide range of the cross-sectional semiaxes ratio, including the case of linear instability of the flow under consideration. The convergence of the leading part of the spectrum with respect to the grid size is shown. Our results are in good agreement with those obtained via approximation by the spectral collocation method.

Fatigue damage in bending of reinforced concrete frames using non-destructive tests for dynamic strength of the cylinder

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Dragan D. Milašinović ◽  
Aleksandar Landović ◽  
Danica Goleš
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fatigue Damage ◽  
Cross Section ◽  
Modal Parameters ◽  
The Finite Element Method ◽  
Concrete Frames ◽  
Content Type ◽  
Non Destructive

PurposeThe purpose of this paper is to contribute to the solution of the fatigue damage problem of reinforced concrete frames in bending.Design/methodology/approachThe problem of fatigue damage is formulated based on the rheological–dynamical analogy, including a scalar damage variable to address the reduction of stiffness in strain softening. The modal analysis is used by the finite element method for the determination of modal parameters and resonance stability of the selected frame cross-section. The objectivity of the presented method is verified by numerical examples, predicting the ductility in bending of the frame whose basic mechanical properties were obtained by non-destructive testing systems.FindingsThe modal analysis in the frame of the finite element method is suitable for the determination of modal parameters and resonance stability of the selected frame cross-section. It is recommended that the modulus of elasticity be determined by non-destructive methods, e.g. from the acoustic response.Originality/valueThe paper presents a novel method of solving the ductility in bending taking into account both the creep coefficient and the aging coefficient. The rheological-dynamical analogy (RDA) method uses the resonant method to find material properties. The characterization of the structural damping via the damping ratio is original and effective.

SCALED BOUNDARY FINITE ELEMENT METHOD FOR SEMI-INFINITE RESERVOIR WITH UNIFORM CROSS SECTION

2012 ◽  
Vol 09 (01) ◽  
pp. 1240006 ◽  
Author(s):  
SHANGMING LI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Section ◽  
Uniform Cross Section ◽  
Vertical Ground ◽  
Part Modeling ◽  
Infinite Reservoir ◽  
Scaled Boundary Finite Element ◽  
Good Agreement ◽  
Element Method

A unified scaled boundary finite element method (SBFEM) in the frequency domain was proposed for a semi-infinite reservoir with uniform cross section subjected to horizontal and vertical ground excitations, and a methodology was presented to solve the unified SBFEM through decomposing the unified SBFEM into two parts; one part modeling the reservoir subjected to horizontal excitations and the other part modeling the whole reservoir subjected to vertical excitations. The accuracy of the unified SBFEM and its solving methodology was validated through analyzing numerical examples. The SBFEM solutions were in good agreement with analytical or other numerical method's solutions.

scholarly journals The Fe Analysis and Variation of Composite Top Hat Shaped Beam

2019 ◽  
Vol 69 (3) ◽  
pp. 27-32
Author(s):  
Petr David ◽  
Zdeněk Padovec ◽  
Tereza Zámečníková ◽  
Radek Sedláček
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Static Analysis ◽  
Cross Section ◽  
Main Part ◽  
Fe Analysis ◽  
The Finite Element Method ◽  
Shaped Beam ◽  
Element Method

AbstractThe main goal of this work is to provide a composite alternative to an already existing beam which has top hat cross section. The main part of this work is focused on using the finite element method to solve the problem. Firstly, a duralumin version will be used to calibrate the computation, then the problem will be solved for different options of slightly adjusted geometry. The computation itself will include general static analysis as well as analysis of buckling.

Effect of indenter tip radius on indentation hardness by finite element analysis

2021 ◽  
pp. 2140038
Author(s):  
Kazuhiro Oda ◽  
Noriko Tsutsumi ◽  
Kohei Morita ◽  
Takahiro Tsutsumi ◽  
Hou Zhong
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Hardness Test ◽  
Fe Analysis ◽  
Indentation Hardness ◽  
Element Analysis ◽  
Tip Radius ◽  
Depth Curve ◽  
Good Agreement

In this study, the indentation hardness test is performed by elastic-plastic finite element (FE) analysis. In order to investigate the effect of the wear of indenter tip on the load-penetration depth curve ([Formula: see text] curve), indentation simulation is made by changing the indenter tip radius. The [Formula: see text] curve obtained by finite element method (FEM) is in good agreement with the experimental results. The calculation shows that the indentation plastic work [Formula: see text] corresponding to the area in the [Formula: see text] curve is hardly affected by the indenter tip radius.

Asymmetric Flow of a Cylindrical Particle Through a Narrow Channel

1984 ◽  
Vol 51 (4) ◽  
pp. 879-884 ◽  
Author(s):  
M. Sugihara ◽  
H. Niimi
Keyword(s):  
Finite Element Method ◽  
Blood Flow ◽  
Cross Section ◽  
Narrow Channel ◽  
Elliptic Cross Section ◽  
Cylindrical Particle ◽  
The Finite Element Method ◽  
Asymmetric Flow ◽  
Elliptic Cross ◽  
The Stokes Equation

The steady flow of a cylindrical particle with a circular or elliptic cross section through a narrow channel is investigated on the basis of the Stokes equation with emphasis on effects of its asymmetric location and orientation. Numerical analyses are carried out by use of the finite element method to determine the drag, lift, and torque acting on the particle as well as the velocity of the particle floating freely in the Poiseuille flow. The numerical results are applied to blood flow in capillaries.

Experimental and Numerical Fracture Modeling Using XFEM of Aluminum Plates

2020 ◽  
Vol 46 ◽  
pp. 45-52 ◽  
Author(s):  
Ali Taghezout ◽  
Bendouba Mostefa ◽  
Abdelkader Djebli ◽  
Aid Abdelkarim ◽  
Habib Khellafi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Modeling ◽  
Finite Elements ◽  
Fracture Behavior ◽  
Plane Elasticity ◽  
Study Materials ◽  
Fracture Modeling ◽  
Aluminum Plates ◽  
Good Agreement

In this paper a numerical modeling was carried out to study the problem of plane elasticity in a medium cracked by the method of the extended finite elements (XFEM) in a thin cracked plate made of aluminum using the software Abaqus 6.13.This method improved the capability of the classical finite element method especially the crack propagation problems. Furthermore, the extended finite elements method has been used to simulate tensile and fracture behavior of the study materials. Based on variation in size and shape of crack, the results obtained will be compared with those obtained experimentally, this comparison shows a good agreement.

INVESTIGATION OF HYBRID AND DIFFERENT CROSS-SECTION COMPOSITE DISC SPRINGS USING FINITE ELEMENT METHOD

2012 ◽  
Vol 36 (4) ◽  
pp. 399-412 ◽  
Author(s):  
Şükrü Karakaya
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Cross Section ◽  
Hybrid Composite ◽  
Load Capacity ◽  
Experimental Studies ◽  
Loading Capacity ◽  
Hybrid Type ◽  
Disc Spring

In this study the effectiveness of composite disc springs with different cross-section and hybrid type are determined by taking into account load capacities, masses, hybridization characteristics and costs of composite disc springs. The disc springs are analyzed with ABAQUS finite elements program by compressing between two rigid plates. The load-deflection characteristics obtained as a result of the analysis are compared with the analytic and experimental studies. Then different cross-section and hybrid composite disc springs were modeled. The trapeze A disc spring were confirmed to be more advantageous in terms of load capacity and mass by investigating the modeled disc springs. The effect of hybridization on hybrid disc springs with standard cross-section was investigated and optimum hybrid disc spring was determined according to cost and maximum loading capacity. Consequently, it is determined that carbon/epoxy plies used for outer layers are more advantageous. But the outer ply subjected to force was damaged thus this layer should be particularly reinforced.

Study on the relationship between pressure and stiffness coefficient, and elastic elongation of the top part of men’s socks using finite element method

2015 ◽  
Vol 27 (5) ◽  
pp. 751-766 ◽  
Author(s):  
Rui Dan ◽  
Xuerong Fan ◽  
Zhen Shi ◽  
Mei Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Section ◽  
Human Body ◽  
Research Work ◽  
Lower Leg ◽  
Elastic Contact ◽  
Stiffness Coefficient ◽  
Content Type ◽  
The Relationship

Purpose – The purpose of this paper is to study a new method to appraise pressure comfort through displacement distribution, and then explore the relationship between pressure and stiffness coefficient, and elastic elongation of the top part of men’s socks using finite element method. Design/methodology/approach – Through 3D body scanning, a biomechanical lower leg cross-section model is constructed for simulating elastic contact between human body and top part of socks. The human body is regarded as an elastomer and the contact between lower leg and top part of socks is elastic contact, displacement distribution tendency under pressure can be obtained using ANSYS, and the elastic elongation of top part of socks after putting on was calculated based on the displacement values. In this research work, the authors discuss in details with the relationship between pressure and stiffness coefficient, and elastic elongation of top part of socks. Findings – In this research work, the mathematical equation of pressure is obtained which describe the relationship between pressure and stiffness coefficient, and elastic elongation of top part of socks. The results indicated that the predictive values of pressure show good agreement with measured ones after χ2 test. All these solutions supply a theory basis for forecasting of the clothing pressure. Research limitations/implications – This paper is unconcerned with the simulating of pressure distribution and variation trend when dressing during the course of walking and running. Originality/value – The paper provides a finite element simulation model of lower leg cross-section located at the top part of men’s socks, and study the relationship between pressure and stiffness coefficient, and elastic elongation of top part of socks. It can supply a new method to appraise pressure comfort.

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