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The paper presents a topology optimization approach that designs an optimal structure, called a self-supporting structure, which is ready to be fabricated via additive manufacturing without the usage of additional support structures. Such…

计算工程、金融与科学 · 计算机科学 2017-08-25 Dengyang Zhao , Ming Li , Yusheng Liu

In this paper, we propose a new and efficient nonmonotone adaptive trust region algorithm to solve unconstrained optimization problems. This algorithm incorporates two novelties: it benefits from a radius dependent shrinkage parameter for…

最优化与控制 · 数学 2021-05-11 Ahmad Kamandi , Keyvan Amini

Topological optimization finds a material density distribution minimizing a functional of the solution of a partial differential equation (PDE), subject to a set of constraints (typically, a bound on the volume or mass of the material).…

数值分析 · 数学 2017-05-23 G. V. Ovchinnikov , D. Zorin , I. V. Oseledets

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

最优化与控制 · 数学 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

最优化与控制 · 数学 2025-11-03 Damilola Fasiku , Wentao Tang

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

数值分析 · 数学 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

We present an algorithm to perform trust-region-based optimization for nonlinear unconstrained problems. The method selectively uses function and gradient evaluations at different floating-point precisions to reduce the overall energy…

最优化与控制 · 数学 2022-02-18 Richard J Clancy , Matt Menickelly , Jan Hückelheim , Paul Hovland , Prani Nalluri , Rebecca Gjini

The multiscale complexity of modern problems in computational science and engineering can prohibit the use of traditional numerical methods in multi-dimensional simulations. Therefore, novel algorithms are required in these situations to…

数值分析 · 数学 2021-06-15 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

计算工程、金融与科学 · 计算机科学 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

This thesis presents recent advances in model order reduction methods with the primary aim to construct online-efficient reduced surrogate models for parameterized multiscale phenomena and accelerate large-scale PDE-constrained parameter…

数值分析 · 数学 2022-11-18 Tim Keil

Gel-elastomer composites, comprising an active swellable hydrogel and a passive elastomer, are a compelling class of programmable material systems (PMS) capable of shape morphing under multiphysics actuation. The precise design of the…

计算工程、金融与科学 · 计算机科学 2026-05-20 Aaditya Chandrasekhar , Dex Doksoo Lee , Hyunwoo Kwon , Wei Chen

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees of freedom of such a model can be partitioned in free and prescribed sets to define the boundary…

计算工程、金融与科学 · 计算机科学 2022-04-06 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

The robust topology optimization formulation that introduces the eroded and dilated versions of the design has gained increasing popularity in recent years, mainly because of its ability to produce designs satisfying a minimum length scale.…

最优化与控制 · 数学 2021-04-16 Denis Trillet , Pierre Duysinx , Eduardo Fernández

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

计算工程、金融与科学 · 计算机科学 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

最优化与控制 · 数学 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

We present a globally convergent method to accelerate density-based topology optimization using projection-based reduced-order models (ROMs) and trust-region methods. To accelerate topology optimization, we replace the large-scale finite…

数值分析 · 数学 2021-02-03 Masayuki Yano , Tianci Huang , Matthew J. Zahr

In this paper, we propose PATO-a producibility-aware topology optimization (TO) framework to help efficiently explore the design space of components fabricated using metal additive manufacturing (AM), while ensuring manufacturability with…

计算工程、金融与科学 · 计算机科学 2021-12-10 Naresh S. Iyer , Amir M. Mirzendehdel , Sathyanarayanan Raghavan , Yang Jiao , Erva Ulu , Morad Behandish , Saigopal Nelaturi , Dean M. Robinson

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

机器学习 · 计算机科学 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

计算工程、金融与科学 · 计算机科学 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

The robust truss topology optimization against the uncertain static external load can be formulated as mixed-integer semidefinite programming. Although a global optimal solution can be computed with a branch-and-bound method, it is very…

最优化与控制 · 数学 2019-01-25 Yoshihiro Kanno