scholarly journals Robust Correction Procedure for Accurate Thin Shell Models via a Perturbation Technique

2020 ◽  
Vol 10 (3) ◽  
pp. 5832-5836 ◽  
Author(s):  
V. D. Quoc
Keyword(s):  
Thin Shell ◽  
Practical Problem ◽  
Perturbation Technique ◽  
Local Fields ◽  
Interface Condition ◽  
Correction Procedure ◽  
Volume Correction ◽  
Electromagnetic Problems ◽  
Shell Models ◽  
Shell Approximation

This research proposes a robust correction procedure to improve inaccuracies around edges and corners inherent to thin shell electromagnetic problems by means of perturbation technique. This proposal is developed with three processes: A classical thin shell approximation replaced with an impedance-type interface condition across a surface is first considered and then a volume correction is introduced to overcome the thin shell approximation. However, the volume correction is quite sensitive to cancellation errors, with dramatic effects in the calculation of the local fields near edges and corners. Therefore, a robust correction procedure is added to improve cancellation errors of the volume correction. Each step of the developed method is validated on the practical problem.

scholarly journals 3-D Integral Formulation for Thin Electromagnetic Shells Coupled with an External Circuit

2020 ◽  
Vol 10 (12) ◽  
pp. 4284 ◽  
Author(s):  
Tung Le-Duc ◽  
Gerard Meunier
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Thin Shell ◽  
Skin Effect ◽  
Integral Formulation ◽  
External Circuit ◽  
Shell Elements ◽  
Shell Models ◽  
Hybrid Integral ◽  
Shell Formulation

The aim of this article is to present a hybrid integral formulation for modelling structures made by conductors and thin electromagnetic shell models. Based on the principle of shell elements, the proposed method provides a solution to various problems without meshing the air regions, and at the same time helps to take care of the skin effect. By integrating the system of circuit equations, the method presented in this paper can also model the conductor structures. In addition, the equations describing the interaction between the conductors and the thin shell are also developed. Finally, the formulation is validated via an axisymmetric finite element method and the obtained results are compared with those implemented from another shell formulation.

Two-way coupling of thin shell finite element magnetic models via an iterative subproblem method

2020 ◽  
Vol 39 (5) ◽  
pp. 1085-1097 ◽  
Author(s):  
Vuong Quoc Dang ◽  
Christophe Geuzaine
Keyword(s):  
Finite Element ◽  
Field Distribution ◽  
Thin Shell ◽  
Iterative Procedure ◽  
Design Methodology ◽  
Content Type ◽  
Shell Models ◽  
Shell Finite Element ◽  
Corner Effects ◽  
Convergence Solution

Purpose The purpose of this paper is to deal with the correction of the inaccuracies near edges and corners arising from thin shell models by means of an iterative finite element subproblem method. Classical thin shell approximations of conducting and/or magnetic regions replace the thin regions with impedance-type transmission conditions across surfaces, which introduce errors in the computation of the field distribution and Joule losses near edges and corners. Design/methodology/approach In the proposed approach local corrections around edges and corners are coupled to the thin shell models in an iterative procedure (each subproblem being influenced by the others), allowing to combine the efficiency of the thin shell approach with the accuracy of the full modelling of edge and corner effects. Findings The method is based on a thin shell solution in a complete problem, where conductive thin regions have been extracted and replaced by surfaces but strongly neglect errors on computation of the field distribution and Joule losses near edges and corners. Research limitations/implications This model is only limited to thin shell models by means of an iterative finite element subproblem method. Originality/value The developed method is considered to couple subproblems in two-way coupling correction, where each solution is influenced by all the others. This means that an iterative procedure between the subproblems must be required to obtain an accurate (convergence) solution that defines as a series of corrections.

Nonlinear Ferromagnetic Shield Modeling by the Thin-Shell Approximation

2006 ◽  
Vol 42 (10) ◽  
pp. 3144-3146 ◽  
Author(s):  
O. Bottauscio ◽  
M. Chiampi ◽  
A. Manzin
Keyword(s):  
Thin Shell ◽  
Shell Approximation

scholarly journals Stochastic Sensitivity Analysis of Cylindrical Shell

2016 ◽  
Vol 16 (2) ◽  
pp. 35-42
Author(s):  
Maksym Grzywiński
Keyword(s):  
Sensitivity Analysis ◽  
Thin Shell ◽  
Taylor Expansion ◽  
Perturbation Technique ◽  
Stochastic Perturbation ◽  
Random Variable ◽  
Engineering Practice ◽  
Stochastic Sensitivity ◽  
Stochastic Sensitivity Analysis ◽  
Stochastic Perturbation Technique

Abstract The paper deals with some chosen aspects of stochastic sensitivity structural analysis and its application in the engineering practice. The main aim of the study is to provide the generalized stochastic perturbation technique based on classical Taylor expansion with a single random variable. The study is illustrated by numerical results concerning an industrial thin shell structure modeled as a 3-D structure.

scholarly journals The fragmentation of expanding shells - I. Limitations of the thin-shell approximation

2009 ◽  
Vol 398 (3) ◽  
pp. 1537-1548 ◽  
Author(s):  
James E. Dale ◽  
Richard Wünsch ◽  
Anthony Whitworth ◽  
Jan Palouš
Keyword(s):  
Thin Shell ◽  
Shell Approximation ◽  
Expanding Shells
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