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相关论文: Density-based isogeometric topology optimization o…

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Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

最优化与控制 · 数学 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

The need for optimized structures with good mechanical performance for the minimum weight is common in industry. Solid Isotropic Material with Penalization (SIMP) is a Topology Optimization (TO) method offering a trade-off between minimum…

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

We study the finite element approximation of the solid isotropic material with penalization method (SIMP) for the topology optimization problem of minimizing the compliance of a linearly elastic structure. To ensure the existence of a local…

数值分析 · 数学 2024-11-21 Ioannis P. A. Papadopoulos

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

计算工程、金融与科学 · 计算机科学 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

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

This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacement, and density are represented by PHT-splines. Leveraging…

最优化与控制 · 数学 2023-12-14 Zepeng Wen , Qiong Pan , Xiaoya Zhai , Hongmei Kang , Falai Chen

In complex terrain construction environments, there are high demands for robots to achieve both high payload capacity and mobility flexibility. As the key load-bearing component, the optimization of robotic leg structures is of particular…

机器人学 · 计算机科学 2025-07-23 Xiao Liu , Xianlong Yang , Weijun Wang , Wei Feng

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element…

数值分析 · 数学 2019-05-21 Kosala Bandara , Fehmi Cirak

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

This paper presents a density-based topology optimization approach to design structures under self-weight load. Such loads change their magnitude and/or location as the topology optimization advances and pose several unique challenges,…

计算工程、金融与科学 · 计算机科学 2022-04-26 Prabhat Kumar

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

Topology optimization (TO) is a common technique used in free-form designs. However, conventional TO-based design approaches suffer from high computational cost due to the need for repetitive forward calculations and/or sensitivity…

人工智能 · 计算机科学 2020-09-15 Chao Qian , Wenjing Ye

Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization…

机器学习 · 统计学 2019-01-10 Sharad Rawat , M. H. Herman Shen

The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material distribution concept. The typical methods of the topology…

计算工程、金融与科学 · 计算机科学 2013-09-24 Jun-ichi Koga , Jiro Koga , Shunji Homma

Shells are ubiquitous thin structures that can undergo large nonlinear elastic deformations while exhibiting combined modes of bending and stretching, and have profound modern applications. In this paper, we have proposed a new Isogeometric…

软凝聚态物质 · 物理学 2022-06-22 Nikhil Padhye , Subodh Kalia

The present paper introduces a hybrid explicit-implicit topology optimization method for shell-infill composite structure design. The proposed approach effectively combines the advantages of the explicit Moving Morphable Component (MMC)…

最优化与控制 · 数学 2024-03-26 Yilin Guo , Chang Liu , Xu Guo

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary…

In this paper, we propose a geometrically nonlinear spectral shell element based on Reissner--Mindlin kinematics using a rotation-based formulation with additive update of the discrete nodal rotation vector. The formulation is provided in…

数值分析 · 数学 2026-02-20 Nima Azizi , Wolfgang Dornisch

A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic homogenization problems is proposed. These problems possess highly oscillating coefficients leading to extremely high computational…

数值分析 · 数学 2017-10-31 H. Nguyen-Xuan , T. Hoang , V. P. Nguyen
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