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This work proposes Isogeometric Analysis as an alternative to classical finite elements for simulating electric machines. Through the spline-based Isogeometric discretization it is possible to parametrize the circular arcs exactly, thereby…

数值分析 · 数学 2018-03-14 Zeger Bontinck , Jacopo Corno , Sebastian Schöps , Herbert De Gersem

The air-gap macro element is reformulated such that rotation, rotor or stator skewing and rotor eccentricity can be incorporated easily. The air-gap element is evaluated using Fast Fourier Transforms which in combination with the Conjugate…

计算工程、金融与科学 · 计算机科学 2023-12-29 Herbert De Gersem , Thomas Weiland

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies,…

数值分析 · 计算机科学 2015-02-04 Benjamin Marussig , Jürgen Zechner , Gernot Beer , Thomas-Peter Fries

This work deals with shape optimization of electric machines using isogeometric analysis. Isogeometric analysis is particularly well suited for shape optimization as it allows to easily modify the geometry without remeshing the domain. A…

计算工程、金融与科学 · 计算机科学 2021-06-03 Melina Merkel , Peter Gangl , Sebastian Schöps

In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used for computing the fundamental solutions. In addition the…

数值分析 · 计算机科学 2016-08-24 Gernot Beer , Benjamin Marussig , Jürgen Zechner , Christian Dünser , Thomas-Peter Fries

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

数值分析 · 数学 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

The paper presents the Isogeometric Boundary Element Method (IGABEM) algorithm for solving the plane strain problem of an isotropic linearly elastic matrix containing an open material surface of arbitrary shape. Theoretical developments are…

数值分析 · 数学 2025-11-06 Rohit Satish Patil , Zhilin Han , Sofia G. Mogilevskaya

This article is devoted to the shape optimization of the internal structure of an electric motor, and more precisely of the arrangement of air and ferromagnetic material inside the rotor part with the aim to increase the torque of the…

最优化与控制 · 数学 2024-02-13 Alessio Cesarano , Charles Dapogny , Peter Gangl

Drones estimate their position and orientation with the help of various sensors. Their data streams, that differ with respect to the sampling rate and standard deviation, need to be fused to get an accurate position and orientation…

数据分析、统计与概率 · 物理学 2021-07-21 Markus Pagitz

We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed and smooth generalizations of the Taylor-Hood element based on non-uniform rational B-splines (NURBS). This…

数值分析 · 数学 2019-08-13 Ju Liu , Alison L. Marsden , Zhen Tao

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulation engine. A hierarchical modeling and simulation approach…

数值分析 · 数学 2024-04-25 Omar Bettinotti , Stéphane Guinard , Eric Véron , Pierre Gosselet

In this paper, a recently developed Higher Order Microplane (HOM) model for softening and localization, is implemented within a isogeometric finite element framework. The HOM model was derived directly from a three dimensional discrete…

材料科学 · 物理学 2016-11-23 Erol Lale , Xinwei Zhou , Gianluca Cusatis

Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size and complexity. Model order reduction, machine learning, and other types of surrogate modeling techniques offer cheaper…

数值分析 · 数学 2026-02-11 Steven Roberts , Andrey A Popov , Arash Sarshar , Adrian Sandu

This article focuses on the space-time isogeometric method for a linear time dependent fourth order problem. Using an auxiliary variable, first the problem is split into a system of two second order differential equations and then the…

数值分析 · 数学 2025-01-13 Shreya Chauhan , Sudhakar Chaudhary

In this paper we formulate and analyze a space-time finite element method for the numerical simulation of rotating electric machines where the finite element mesh is fixed in space-time domain. Based on the Babu\v{s}ka--Ne\v{c}as theory we…

数值分析 · 数学 2026-04-01 Peter Gangl , Mario Gobrial , Olaf Steinbach

This work introduces a scaffolding framework to compactly parametrise solid structures with conforming NURBS elements for isogeometric analysis. A novel formulation introduces a topological, geometrical and parametric subdivision of the…

计算几何 · 计算机科学 2022-06-10 Stefano Moriconi , Parashkev Nachev , Sebastien Ourselin , M. Jorge Cardoso

Non-Uniform Rational B-Spline (NURBS) surfaces are commonly used within Computer-Aided Design (CAD) tools to represent geometric objects. When using isogeometric analysis (IGA), it is possible to use such NURBS geometries for numerical…

计算工程、金融与科学 · 计算机科学 2022-03-31 Michel Make , Thomas Spenke , Norbert Hosters , Marek Behr

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

数值分析 · 数学 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

The simulation of certain flow problems requires a means for modeling a free fluid surface; examples being viscoelastic die swell or fluid sloshing in tanks. In a finite-element context, this type of problem can, among many other options,…

数值分析 · 数学 2017-09-21 Florian Zwicke , Sebastian Eusterholz , Stefanie Elgeti

We propose an experimental study of adaptive time-stepping methods for efficient modeling of the aggregation-fragmentation kinetics. Precise modeling of this phenomena usually requires utilization of the large systems of nonlinear ordinary…

数值分析 · 数学 2025-01-20 Sergey A. Matveev , Viktor Zhilin , Alexander P. Smirnov
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