A Virtual work approach to the computation of magnetic force distribution from finite element field solutions

Benhama, A.; Williamson, A.C.; Reece, A.B.J.

doi:10.1049/ip-epa:20000724

Cited by 21 publications

(12 citation statements)

References 5 publications

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“…Unlike the CVW approach, where a set of nodes is simultaneously displaced, the local virtual work method (LVW) displaces a single node at a time [13,14]. Only the coenergy (for a h oriented formulation) corresponding to the elements surrounding that node is modified during the virtual displacement.…”

Section: Local Virtual Work Methodsmentioning

confidence: 99%

Gyroscopic magnetic levitation: an original design procedure based on the finite element method

Grève

Versele

Lobry

2010

Eur. Phys. J. Appl. Phys.

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To cite this version:Z. De Grève, C. Versèle, J. Lobry. Gyroscopic magnetic levitation: an original design procedure based on the finite element method. European Physical Journal: Applied Physics, EDP Sciences, 2010, 52 (2), <10.1051/epjap/2010080>. Abstract. In this work, an original procedure, based on the finite element method, is presented for the design of a Levitron c , a device made of permanent magnets and relying on stable gyroscopic magnetic levitation, using secondhand components. A perturbation force analysis is performed on finite element models of available magnets in order to derive the locus of stable equilibrium, as well as the top mass, for a given configuration of the magnets. We investigate three methods for the estimation of forces from finite element computations, two of them based on the virtual work principle, and one performing numerical integration of the classical expression of forces between magnets. Results are employed to realize a Levitron c in laboratory, and are shown to be in better agreement with experience than those from a simple analytical model available in the literature.

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Section: Local Virtual Work Methodsmentioning

confidence: 99%

Gyroscopic magnetic levitation: an original design procedure based on the finite element method

Grève

Versele

Lobry

2010

Eur. Phys. J. Appl. Phys.

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“…The FEM is widely used by scientists and engineers [9]. After assembling all the elementary equations, a differential system of equations is obtained which may be written as:…”

Section: Electromagnetic Field Computationmentioning

confidence: 99%

“…The force in a direction is given by the derivation of the magneto-static energy w in relat ion to a virtual displacement q [9]:…”

Section: Forces Magnetic Calculationmentioning

confidence: 99%

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A New Application of an ANFIS for the Shape Optimal Design of Electromagnetic Devices

Mohdeb¹,

Hacib²

2014

IJISA

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Abstract-This paper presents a new model based on simulated annealing algorithm (ASA) and adaptive neuro-fuzzy inference system (ANFIS) for shape optimization and its applications to electromagnetic devices. The proposed model uses ANFIS system to evaluate the electromagnetic performance of the device. Both the ANFIS and ASA method are applied to the design/optimization of the electromagnetic actuator. The results of the proposed approach are compared with other techniques such as: method of moving asymptotes, penalty method, augmented lagrangian genetic algorithm and simulated annealing method (SA). Among the algorithms, the proposed ANFIS-ASA approach significantly outperforms the other methods.

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“…When determining the force density distribution on an air-iron interface, one has to evaluate the force on the common borders of two finite elements and the user is faced with the problem of which value of n B or t H to choose, in [6] suggested an approach using the magnetic vector potential formulation, which involved a weighted average of the air and iron tangential components of the magnetic field intensity.…”

Section: Electromagnetic Field Calculationmentioning

confidence: 99%

Resolution of Inverse Problems for Electromagnetic Levitated and Guided Systems using the Finite Element Method and the Genetic Algorithms

Delimi¹,

Latreche²

2013

IJCA

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In an inverse problem, we are asked to find those values of the source that would give us a required performance. In this paper a technique based on the use of finite element method (FEM) and the genetic algorithms method (GA) in the solution of the inverse problem of an electromagnetic levitated and guided system is investigated, for that an inverse calculation of the current excitation was realized to have a constant levitation force.

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A Virtual work approach to the computation of magnetic force distribution from finite element field solutions

Cited by 21 publications

References 5 publications

Gyroscopic magnetic levitation: an original design procedure based on the finite element method

Gyroscopic magnetic levitation: an original design procedure based on the finite element method

A New Application of an ANFIS for the Shape Optimal Design of Electromagnetic Devices

Resolution of Inverse Problems for Electromagnetic Levitated and Guided Systems using the Finite Element Method and the Genetic Algorithms

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