Abstract
Background/ Objectives: Finite element method has been used widely for structural analysis of electromagnetic systems for a long time. Maxwell stress sensor and principle of virtual work are used to calculate electromagnetic force from finite element analysis results. Methods/ Statistical analysis: In this paper, specific methodologies were presented when programming was coded directly without the use of commercial software. Maxwell stress sensor is the amount of tension expressed by the interaction of electromagnetic force with mechanical physical quantity. Findings: When calculating the electromagnetic force, a method of integration was proposed when trying to integrate by selecting the element around the body to obtain the force. Also, the principle of virtual work is to induce electromagnetic force from the derivation of system energy. This method was proposed to differentiate the matrix in the finite element method. Improvements/ Applications: We selected a 3-dimensional Axisymmetric model to validate the usefulness of the proposed method of calculation.
Highlights
The finite element method(FEM) is one of the numerical analysis techniques that divides a continuum structure into finite number of elements and performs calculations based on an approximate solution based on the energy principle for each domain
We introduce the coding techniques useful for programmers when calculating the electromagnetic force using the finite element method
The basic principles of the Maxwell stress method and the virtual displacement method, which have been used for the calculation of the electromagnetic force, are explained by using the results of the finite element analysis
Summary
The finite element method(FEM) is one of the numerical analysis techniques that divides a continuum structure into finite number of elements and performs calculations based on an approximate solution based on the energy principle for each domain. CAE is the method most commonly used for structural analysis and electromagnetic field analysis It is a method developed for stresses and electromagnetic field analysis of complex shapes. When calculating the magnetic force received by a ferromagnetic body in a magnetic field, the current term in the Lorentz equation must be replaced by a magnetic field or magnetic flux density. At this time, when the formula is developed by using the Maxwell stress tensor, the electromagnetic force can be expressed [5-7]. We introduce the coding techniques useful for programmers when calculating the electromagnetic force using the finite element method. In order to verify the usefulness of the proposed method, an axisymmetric three-dimensional model with analytic solutions was established and compared with the proposed method [11]
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