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Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the…

机器学习 · 计算机科学 2025-06-18 Andreas Radler , Eric Volkmann , Johannes Brandstetter , Arturs Berzins

Topology optimization offers great opportunities to design permanent magnetic systems that have specific external field characteristics. Additive manufacturing of polymer bonded magnets with an end-user 3D printer can be used to manufacture…

Controlling thermodynamic cycles to minimize the dissipated heat is a longstanding goal in thermodynamics, and more recently, a central challenge in stochastic thermodynamics for nanoscale systems. Here, we introduce a theoretical and…

统计力学 · 物理学 2023-03-15 Shriram Chennakesavalu , Grant M. Rotskoff

Topology optimization is able to maximally leverage the high DOFs and mechanical potentiality of porous foams but faces three fundamental challenges: conforming to free-form outer shapes, maintaining geometric connectivity between adjacent…

图形学 · 计算机科学 2023-08-09 Ming Li , Jingqiao Hu , Wei Chen , Weipeng Kong , Jin Huang

Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent…

光学 · 物理学 2022-12-01 Samuel Kim , Thomas Christensen , Steven G. Johnson , Marin Soljačić

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

量子物理 · 物理学 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

最优化与控制 · 数学 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

This paper develops a mathematical framework that aims to control the temperature and rotational speed in the activation process of a gas turbine in an optimal way. These controls influence the deformation and the stress in the component…

最优化与控制 · 数学 2023-11-21 Nicolai Friedlich , Hanno Gottschalk , Georg Vossen

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

A topology optimization formulation including a model of the layer-by-layer additive manufacturing (AM) process is considered. Defined as a multi-objective minimization problem, the formulation accounts for the performance and cost of both…

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

计算工程、金融与科学 · 计算机科学 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

This paper presents a robust density-based topology optimization approach for synthesizing pressure-actuated compliant mechanisms. To ensure functionality under manufacturing inaccuracies, the robust or three-field formulation is employed,…

计算工程、金融与科学 · 计算机科学 2023-04-13 Prabhat Kumar , Matthijs Langelaar

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

最优化与控制 · 数学 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

最优化与控制 · 数学 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

Thermal metamaterials provide rich control of heat transport which is becoming the foundations of cutting-edge applications ranging from chip cooling to biomedical. However, due to the fundamental laws of physics, the manipulation of heat…

应用物理 · 物理学 2023-03-09 Peng Jin , Jinrong Liu , Liujun Xu , Jun Wang , Xiaoping Ouyang , Jian-Hua Jiang , Jiping Huang

Understanding conformational change is crucial for programming and controlling the function of many mechanical systems such as allosteric enzymes and tunable metamaterials. Of particular interest is the relationship between the network…

计算物理 · 物理学 2019-07-24 Jason Z. Kim , Zhixin Lu , Steven H. Strogatz , Danielle S. Bassett

We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem…

最优化与控制 · 数学 2020-11-02 Stefano Almi , Ulisse Stefanelli

High quality mechanical resonators are critical for driving advances in quantum information technologies, precision sensing, and optomechanics. However, achieving compact resonator designs that maintain high performance is a key challenge.…

量子物理 · 物理学 2025-12-01 Yincheng Shi , Fengwen Wang , Dennis Høj , Ole Sigmund , Ulrik Lund Andersen

This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

最优化与控制 · 数学 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to…

系统与控制 · 电气工程与系统科学 2022-08-23 Tong Han , David J. Hill , Yue Song