scholarly journals Analysis of magnetic fields on a levitating coaxial and non-coaxial aluminum disc

2018 ◽  
Vol 7 (4.24) ◽  
pp. 152
Author(s):  
Bharath Kumar Narukullapati ◽  
T K Bhattacharya ◽  
Jhansi Lakshmi P
Keyword(s):  
Electromagnetic Field ◽  
Finite Difference ◽  
Magnetic Fields ◽  
Finite Difference Method ◽  
Eddy Currents ◽  
Numerical Technique ◽  
Mathematical Formulation ◽  
Numerical Techniques ◽  
Matlab Program ◽  
Exciting Coil

The electromagnetic field calculations for a levitating aluminum disc involve integro-differential equations and the solution of these equations is difficult to obtain using conventional techniques especially when the disc is coaxially away from the axis of the coils. Over the years many analytical, semi-analytical and numerical techniques have been proposed to calculate the magnetic fields on the disc when it is coaxial with the coils. In this paper, a mathematical formulation has been developed to obtain the magnetic fields on a conducting disc using a numerical technique at different positions of the levitation and for different disc discretization’s. The numerical technique developed here is based on Finite Difference Method. Since the magnetic fields on the disc are due to the coil currents and eddy currents in the disc, first a mathematical formulation is done to calculate fields due to exciting coil currents and then a numerical technique is used to calculate fields due to eddy currents on the disc. Also, the magnetic fields on the disc are calculated when the disc moves away from the axis of the coil. A MATLAB program is developed to calculate these fields.

The Application of FDM in Solving Problem of Electromagnetic Field

2012 ◽  
Vol 463-464 ◽  
pp. 331-335
Author(s):  
Pei Nan Zhao ◽  
Meng Yun Zhang
Keyword(s):  
Electromagnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Three Dimension ◽  
Field Problem ◽  
Two Dimension ◽  
Numerical Computing

In this paper, a static electromagnetic field problem will be solved. The method to solve the problem is Finite Difference Method ( FDM ). The software MATLAB is the main environment used to finish the numerical computing. Finally, we found using Finite Difference Method to solve a static electromagnetic field problem is quite convenient. We also can draw the two-dimension and three-dimension graph of the distribution of the electromagnetic field. Furthermore, we discuss the advantages of using FDM to solve the problem, and the disadvantages still exist in this method.

Fractional Chebyshev Finite Difference Method for Solving the Fractional-Order Delay BVPs

2015 ◽  
Vol 12 (06) ◽  
pp. 1550033 ◽  
Author(s):  
M. M. Khader
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Fractional Order ◽  
Difference Method ◽  
Matrix Method ◽  
Fractional Derivatives ◽  
Numerical Technique ◽  
Operational Matrix ◽  
Operational Matrix Method ◽  
Chebyshev Finite Difference Method

In this paper, we implement an efficient numerical technique which we call fractional Chebyshev finite difference method (FChFDM). The fractional derivatives are presented in terms of Caputo sense. The algorithm is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. The proposed technique is based on using matrix operator expressions which applies to the differential terms. The operational matrix method is derived in our approach in order to approximate the fractional derivatives. This operational matrix method can be regarded as a nonuniform finite difference scheme. The error bound for the fractional derivatives is introduced. We used the introduced technique to solve numerically the fractional-order delay BVPs. The application of the proposed method to introduced problem leads to algebraic systems which can be solved by an appropriate numerical method. Several numerical examples are provided to confirm the accuracy and the effectiveness of the proposed method.

scholarly journals Modeling and simulation of Electromagnetic Fields on a Floating Aluminium

2018 ◽  
Vol 7 (4.24) ◽  
pp. 148
Author(s):  
Bharath Kumar Narukullapati ◽  
T K Bhattacharya ◽  
ANaveen Reddy ◽  
Srikanth Gollapudi
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Mathematical Formulation ◽  
Analytical Techniques ◽  
Comsol Multiphysics ◽  
Field Calculation ◽  
Flux Linkage ◽  
3D Fem ◽  
Fem Model ◽  
Closed Solution

The electromagnetic field calculation for a floating aluminum disc is difficult to calculate since the equation involved does not produce a closed solution. The numerical, analytical, semi-analytical techniques that are already developed to find these magnetic fields have no proper mathematical formulation when the disc is disturbed from its coaxial position. The stabilization of disc is going to be effected when the disc moves away from its coaxial position due to a change in inductance between the disc and coils, due to change in magnetic flux linkage, etc. In this paper, a 2D FEM model is developed to determine the magnetic fields on a floatingaluminum disc when it is moved away from its coaxial position. The 3D FEM model developed is simulated in both COMSOL-Multiphysics and ANSYS-Electronics. The results obtained by simulation are compared, for accuracy, with the numerical solution developed earlier using Finite Difference method (FDM) and also discussed.

scholarly journals Comparative analysis of Rectangular Plate by Finite element method and Finite Difference Method

2021 ◽  
Vol 9 (9) ◽  
pp. 1397-1398
Author(s):  
Dr. A. R. Gupta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Comparative Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Rectangular Plate ◽  
Difference Method ◽  
Numerical Technique ◽  
Element Analysis ◽  
Element Method

Abstract: Plates are commonly used to support lateral or vertical loads. Before the design of such a plate, analysis is performed to check the stability of plate for the proposed load. There are several methods for this analysis. In this research, a comparative analysis of rectangular plate is done between Finite Element Method (FEM) and Finite Difference Method (FDM). The plate is considered to be subjected to an arbitrary transverse uniformly distributed loading and is considered to be clamped at the two opposite edges and free at the other two edges. The Finite Element Method (FEM) is a numerical technique for finding approximate solutions to boundary value problems for partial differential equations. It is also referred to as finite element analysis (FEA). FEM subdivides a large problem into smaller, simpler, parts, called finite elements. The work covers the determination of displacement components at different points of the plate and checking the result by software (STAAD.Pro) analysis. The ordinary Finite Difference Method (FDM) is used to solve the governing differential equation of the plate deflection. The proposed methods can be easily programmed to readily apply on a plate problem. Keywords: Arbitrary, FEM, FDM, boundary.

Solving the Deflection Problem of Laptop Casing Structure by Finite Difference Method

2014 ◽  
Vol 527 ◽  
pp. 134-139
Author(s):  
Hao Hu ◽  
Wen Cheng Tang ◽  
Hui Xiang Huang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Matlab Program ◽  
Simple Support ◽  
Large Length ◽  
Load Conditions ◽  
Good Agreement

Due to its large length/thickness ratio, the casing structure can be treated as plates andshells,thus the classical plates and shell theories can be applied. A general MATLAB program wasdesigned to solve the deflection problems of the isotropic casing with simple support usingdifferential method. To test its precision,two different load conditions as well as two materials wereused and their results was made comparison with that of finite element method and Navier solution.The results were in good agreement with each other and the method was efficient in solving thedeflection problems of a casing structure

Design Element Concept of Die Casting Process

2011 ◽  
Vol 121-126 ◽  
pp. 1620-1624 ◽  
Author(s):  
Rosli Ahmad ◽  
Nasuha Sa'ude ◽  
Azriszul Mohd Amin
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Die Casting ◽  
Mathematical Formulation ◽  
Casting Process ◽  
Design Element ◽  
Direct Differentiation Method ◽  
Differentiation Method ◽  
Die Casting Process

Design Element Concept of die casting process was explored. Direct Differentiation Method (DDM) was employed to calculate the Design Element Sensitivities of die casting process. The mathematical formulation of the DDM method was derived. The results obtained from the DDM method was compared with Finite Difference Method (FDM) and the results showed closed agreement.

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