Application of the natural-element method to model moving electromagnetic devices

Illoul, Lounès; Yvonet, J.; Chinesta, Francisco; Clénet, S.

doi:10.1109/tmag.2006.871587

Cited by 16 publications

(15 citation statements)

References 9 publications

(21 reference statements)

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“…For example, nodes situated on both sides of a crack would be seen as natural neighbors, and thus would have an undesirable mutual influence. To overcome this problem, some authors have proposed to introduce a constrained Delaunay triangulation associated with a criterion of visibility to avoid nodes that are near in distance but located on both sides of a border to become natural neighbors (so-called (C-NEM) in [6] and [9]). …”

Section: Natural-element Methods (Nem)mentioning

confidence: 99%

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Electromagnetic Scattering Analysis of Arbitrary Structures by the Natural Element Method Coupled With Absorbing Boundary Condition

et al. 2015

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The problem of determining the electromagnetic scattering of arbitrary structures consisting of both dielectric and conducting materials are analyzed in this paper by the natural-element method coupled with the absorbing boundary condition (NEM-ABC). By this method, the target is first enclosed by a fictitious boundary. Maxwell's equations are then solved by NEM inside and ABC is applied on the fictitious boundary. The results are compared with analytical and finite-element method-ABC ones which show the robustness, applicability and relevance of the method. Index Terms-Electromagnetic scattering problems, finite-element methods (FEMs), natural-element methods (NEMs).

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Section: Natural-element Methods (Nem)mentioning

confidence: 99%

“…Although they overcome difficulties encountered in FEM, these methods have generally difficulties to consider the essential boundary conditions and discontinuities at the interface between two regions characterized by different physical properties [6]. To eliminate these difficulties, the natural-element method (NEM) was proposed [7].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering Analysis of Arbitrary Structures by the Natural Element Method Coupled With Absorbing Boundary Condition

et al. 2015

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“…The Voronoï diagram is the topological dual of the Delaunay tessellation [8]. Let's have a cloud of separated irregular nodes N = {n 1 ,n 2 ,...,n N } on the region R 2 .…”

Section: Construction Of Function Shape Natural Elementmentioning

confidence: 99%

Wing Rib Stress Analysis and Design Optimization Using Constrained Natural Element Method

Bennaceur

Layachi

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. This paper demonstrates the applicability of a novel meshless method in solving problems related to aeronautical engineering, the constraint-natural element method is used to optimize a wing rib where it present several shape of cut-outs deals with the results findings we select the optimum design, we focus on the description and analysis of the constraint-natural element method and its application for simulating mechanical problems, the constraint natural element method is the alternative method for the finite element method where the shape functions is constructed on an extension of Voronoi diagram dual of Delaunay tessellation for non-convex domains. IntroductionThe wing ribs are structural elements of the airplane; with the longeron they form the skeleton for the wing skin where their functions are to maintain its shape. The ribs do not participate in the strength of the aircraft as a whole, but transmit the forces encountered by the skin to the longeron. They are subjected to loading systems. External loads applied in the plane of the rib produce a change in shear force in the wing across the rib [1]. The geometry may also include holes to reduce the weight of the wing without altering its strength. The ribs are cut to allow to fuels or equipment to pass through it [2], [3]. In this paper the wing rib of a light aircraft are analyzed with different cut-outs design.The design of a new wing rib requires stress analysis. In engineering, stress analysis is a tool rather than a goal; the aim is to determine the stress and to predict the failure in materials subjected to forces or increase the strength of the structure without increasing the weight. Stress analysis can be performed using conventional and analytical mathematical techniques, an experimental testing or computational simulation.Widely used in computational mechanics the finite element method is considered as the robust method to analysis mechanical phenomena [4] but this method failed to analyze some case such as large transformations problems, a localization of initiation and propagation of a crack, displacement of interfaces between solid and fluid. In the last few years there has been an increasing interest in a novel numerical method alternative to the finite element method, meshless methods have been developed with the aim to solve problems associated mesh steps linking to the finite element method. meshless method construct the interpolating around a set of point that means no connection between nodes and no contract of shape of the element, the refining of mesh or in this case a set of point is automatically by admitting new points; however those methods suffer from a major problem where the imposition of boundary conditions is very complex and the support of the shape function must be contained a sufficient number of neighboring nodes.

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“…To avoid numerical problems related to mesh reconstruction, the mesh‐free methods have been developed . In these methods, a cloud of nodes without connectivity relations that covers the domain is used to solve the problem.…”

Section: Introductionmentioning

confidence: 99%

“…In these methods, a cloud of nodes without connectivity relations that covers the domain is used to solve the problem. Because of its characteristics, these methods are increasingly being used to solve electromagnetic problems involving moving parts, like electrical machines …”

Section: Introductionmentioning

confidence: 99%

Comparison of natural and finite element interpolation functions behavior

Gonçalves

Afonso

Coppoli

et al. 2017

Int J Numerical Modelling

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International audienceIn this paper, the interpolation functions behavior of the natural element method (NEM) and the finite element method (FEM) are compared. It is discussed how the unknown in both methods affects the stiffness matrix and contributes to NEM better accuracy. The visibility criterion and the constrained NEM are also addressed, and a pseudoalgorithm is proposed to implement the constrained Voronoï diagram, which is the base for the constrained NEM. A complex heterogeneous magnetic problem is solved by both FEM and NEM methods and their solutions are compared. It is shown that for the same discretization, the number of contributions for NEM is in general bigger than those related to the FEM and better accuracy results for NEM

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Application of the natural-element method to model moving electromagnetic devices

Cited by 16 publications

References 9 publications

Electromagnetic Scattering Analysis of Arbitrary Structures by the Natural Element Method Coupled With Absorbing Boundary Condition

Electromagnetic Scattering Analysis of Arbitrary Structures by the Natural Element Method Coupled With Absorbing Boundary Condition

Wing Rib Stress Analysis and Design Optimization Using Constrained Natural Element Method

Comparison of natural and finite element interpolation functions behavior

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