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We present an open-source Python framework for the shape optimization of complex shell structures using isogeometric analysis (IGA). IGA seamlessly integrates computer-aided design (CAD) and analysis models by employing non-uniform rational…

最优化与控制 · 数学 2025-02-06 Han Zhao , John T. Hwang , Jiun-Shyan Chen

While shape optimization using isogeometric shells exhibits appealing features by integrating design geometries and analysis models, challenges arise when addressing computer-aided design (CAD) geometries comprised of multiple non-uniform…

最优化与控制 · 数学 2024-07-02 Han Zhao , John T. Hwang , J. S. Chen

Isogeometric Analysis (IGA) bridges Computer-Aided Design (CAD) and Finite Element Analysis (FEA) by employing splines as a common basis for geometry and analysis. One of the advantages of IGA is in the realm of thin shell analysis: due to…

数值分析 · 数学 2025-08-15 Hugo M. Verhelst , Angelos Mantzaflaris , Matthias Möller

This work presents an efficient quadrature rule for shell analysis fully integrated in CAD by means of Isogeometric Analysis (IGA). General CAD-models may consist of trimmed parts such as holes, intersections, cut-offs etc. Therefore, IGA…

计算工程、金融与科学 · 计算机科学 2023-08-09 Michael Loibl , Leonardo Leonetti , Alessandro Reali , Josef Kiendl

Shell structures with a high stiffness-to-weight ratio are desirable in various engineering applications. In such scenarios, topology optimization serves as a popular and effective tool for shell structures design. Among the topology…

最优化与控制 · 数学 2023-12-12 Qiong Pan , Xiaoya Zhai , Falai Chen

We propose the use of machine learning techniques to find optimal quadrature rules for the construction of stiffness and mass matrices in isogeometric analysis (IGA). We initially consider 1D spline spaces of arbitrary degree spanned over…

数值分析 · 数学 2023-04-05 Tomas Teijeiro , Jamie M. Taylor , Ali Hashemian , David Pardo

In structural optimization, both parameters and shape are relevant for the model performance. Yet, conventional optimization techniques usually consider either parameters or the shape separately. This work addresses this problem by…

Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided Design (CAD) into a single, unified process. The…

数值分析 · 计算机科学 2016-02-01 Vinh Phu Nguyen , Stéphane P. A. Bordas , Timon Rabczuk

This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for approximation of the solution field. The method inherits the main…

数值分析 · 数学 2017-07-11 Elena Atroshchenko , Gang Xu , Satyendra Tomar , Stephane P. A. Bordas

In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial basis functions, commonly employed by the classical Finite…

We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four. The…

数值分析 · 数学 2023-05-10 Andrea Farahat , Hugo M. Verhelst , Josef Kiendl , Mario Kapl

This contribution explores the combined capabilities of reduced basis methods and IsoGeometric Analysis (IGA) in the context of parameterized partial differential equations. The introduction of IGA enables a unified simulation framework…

数值分析 · 数学 2025-10-14 Margarita Chasapi , Pablo Antolin , Annalisa Buffa

Trimming techniques are efficient ways to generate complex geometries in Computer-Aided Design(CAD). In this paper, an improved isogeometric analysis(IGA) method for trimmed geometries is proposed. We will show that the proposed method…

数值分析 · 计算机科学 2017-07-04 Jinlan Xu , Ningning Sun , Laixin Shu , Timon Rabczuk , Gang Xu

The advent of multi-material additive manufacturing and automated composite manufacturing has enabled the design of structures featuring complex curvilinear anisotropy. To take advantage of the new design space, efficient computational…

应用物理 · 物理学 2020-10-05 Kenta Suzuki , Sean E. Phenisee , Marco Salviato

Compact DC high-voltage photo-electron guns are able to meet the sophisticated demands of high-current applications such as energy recovery linacs. A main design parameter for such sources is the electric field strength, which depends on…

计算工程、金融与科学 · 计算机科学 2022-03-09 Peter Förster , Sebastian Schöps , Joachim Enders , Maximilian Herbert , Abele Simona

This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulation as an additional PDE-constraint. Inspired by the…

数值分析 · 数学 2020-01-30 Jochen Hinz , Andrzej Jaeschke , Matthias Möller , Cornelis Vuik

Penalty methods have proven to be particularly effective for achieving the required $C^1$-continuity in the context of multi-patch isogeometric Kirchhoff-Love shells. Due to their conceptual simplicity, these algorithms are readily…

数值分析 · 数学 2021-10-13 Luca Coradello , Josef Kiendl , Annalisa Buffa

Isogeometric analysis (IGA) is a numerical method that connects computer-aided design (CAD) with finite element analysis (FEA). In CAD the computational domain is usually represented by B-spline or NURBS patches. Given a NURBS…

数值分析 · 数学 2023-10-04 Somayeh Kargaran , Bert Jüttler , Thomas Takacs

In this work, a linear Kirchhoff-Love shell formulation in the framework of scaled boundary isogeometric analysis is presented that aims to provide a simple approach to trimming for NURBS-based shell analysis. To obtain a global C1-regular…

数值分析 · 数学 2023-04-13 Mathias Reichle , Jeremias Arf , Bernd Simeon , Sven Klinkel

Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff-Love shell framework that treats every numerical aspect in…

计算工程、金融与科学 · 计算机科学 2020-12-23 Daniel Schöllhammer , Benjamin Marussig , Thomas-Peter Fries
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