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We propose a neural network-based approach to topology optimization that aims to reduce the use of support structures in additive manufacturing. Our approach uses a network architecture that allows the simultaneous determination of an…

机器学习 · 计算机科学 2022-10-05 Hongrui Chen , Aditya Joglekar , Kate S. Whitefoot , Levent Burak Kara

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

We present an extension of the projection method proposed by Challis et al. (Int J Solids Struct 45(14$\unicode{x2013}$15):4130$\unicode{x2013}$4146, 2008) for constrained level set-based topology optimisation that harnesses the Hilbertian…

最优化与控制 · 数学 2023-09-12 Zachary J. Wegert , Anthony P. Roberts , Vivien J. Challis

The feasibility-seeking approach provides a systematic scheme to manage and solve complex constraints for continuous problems, and we explore it for the floorplanning problems with increasingly heterogeneous constraints. The classic…

最优化与控制 · 数学 2023-04-17 Shan Yu , Yair Censor , Ming Jiang , Guojie Luo

We present a multi-phase design parameterization to obtain optimized heterogeneous lattice structures. The 3D domain is discretized into a cubical grid wherein each cube has eight distinct unit cell types or phases. When all phases are…

材料科学 · 物理学 2021-03-04 Yash Agrawal , G. K. Ananthasuresh

In this article, a compliance minimisation scheme for designing spatially varying orthotropic porous structures is proposed. With the utilisation of conformal mapping, the porous structures here can be generated by two controlling field…

数值分析 · 数学 2022-02-16 Shaoshuai Li , Yichao Zhu , Xu Guo

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

计算工程、金融与科学 · 计算机科学 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

This paper provides an orientation angle optimization method for the design of fiber-reinforced composite materials using topology optimization. The orientation angle optimization is based on a topological derivative, which measures the…

计算工程、金融与科学 · 计算机科学 2023-06-21 Masaki Noda , Kei Matsushima , Takayuki Yamada

Level set-based immersed boundary techniques operate on nonconforming meshes while providing a crisp definition of interface and external boundaries. In such techniques, an isocontour of a level set field interpolated from nodal level set…

计算工程、金融与科学 · 计算机科学 2020-07-15 Jorge L. Barrera , Kurt Maute

This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are…

计算工程、金融与科学 · 计算机科学 2023-05-01 Lukas C. Høghøj , Cian Conlan-Smith , Ole Sigmund , Casper Schousboe Andreasen

The concurrent optimization of topology and fibre orientation is a promising approach to pursue higher strength and lighter weight of variable-stiffness structure. This study proposes a novel discrete-continuous scheme for the concurrent…

几何拓扑 · 数学 2023-06-22 Yaya Zhanga , Hu Wang , Jichao Yin , Shuhao Li , Mengzhu Yang

The geometric, aesthetic, and mathematical elegance of origami is being recognized as a powerful pathway to self-assembly of micro and nano-scale machines with programmable mechanical properties. The typical approach to designing the…

Gradient porous structured materials possess significant potential of being applied in many engineering fields. To accelerate the design process of infill graded microstructures, a novel asymptotic homogenisation topology optimisation…

计算工程、金融与科学 · 计算机科学 2019-12-18 Dingchuan Xue , Yichao Zhu , Shaoshuai Li , Chang Liu , Weisheng Zhang , Xu Guo

We propose and investigate a mesh deformation technique for PDE constrained shape optimization. Introducing a gradient penalization to the inner product for linearized shape spaces, mesh degeneration can be prevented within the optimization…

最优化与控制 · 数学 2021-06-09 Martin Siebenborn , Andreas Vogel

We present a geometric multilevel optimization approach that smoothly incorporates box constraints. Given a box constrained optimization problem, we consider a hierarchy of models with varying discretization levels. Finer models are…

最优化与控制 · 数学 2024-04-23 Sebastian Müller , Stefania Petra , Matthias Zisler

This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refined discretizations. To circumvent the need to generate…

数值分析 · 数学 2022-12-05 Mathias Schmidt , Lise Noel , Keenan Doble , John A. Evans , Kurt Maute

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

计算工程、金融与科学 · 计算机科学 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

This paper concerns with a noisy structured low-rank matrix recovery problem which can be modeled as a structured rank minimization problem. We reformulate this problem as a mathematical program with a generalized complementarity constraint…

最优化与控制 · 数学 2017-03-14 Shujun Bi , Shaohua Pan , Defeng Sun

We propose a topology-optimization framework for optimizing finite structures of arbitrary shape by combining density-based methods with level-set approaches. We first optimize regular polygonal structures to suppress the photonic density…

Reconfigurable intelligent metasurfaces have been proposed as an efficient solution for improving wireless telecommunication systems in multiple scattering or reverberating media. Concurrently, topology optimization has been successfully…

应用物理 · 物理学 2023-11-07 Theodosios D. Karamanos , Mathias Fink , Fabrice Lemoult