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Related papers: Topological optimisation of rod-stirring devices

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A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

Optimization and Control · Mathematics 2026-02-24 Luise Blank , Maximilian Urmann

Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original…

Optimization and Control · Mathematics 2016-03-08 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Many Imitation and Reinforcement Learning approaches rely on the availability of expert-generated demonstrations for learning policies or value functions from data. Obtaining a reliable distribution of trajectories from motion planners is…

Robotics · Computer Science 2021-07-13 Alexander Lambert , Byron Boots

The aim of distribution networks is to meet their local area power demand with maximum reliability. As the electricity consumption tends to increase every year, limited line thermal capacity can lead to network congestion. Continuous…

Systems and Control · Electrical Eng. & Systems 2023-08-07 Rida Fatima , Hassan Zahid Butt , Xingpeng Li

Topology optimization has matured to become a powerful engineering design tool that is capable of designing extraordinary structures and materials taking into account various physical phenomena. Despite the method's great advancements in…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Anna Dalklint , Rasmus E. Christiansen , Ole Sigmund

The energy cost of computation has emerged as a central challenge at the intersection of physics and computer science. Recent advances in statistical physics -- particularly in stochastic thermodynamics -- enable precise characterizations…

Statistical Mechanics · Physics 2025-10-07 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

In the fields of robotics and biomechanics, the integration of elastic elements such as springs and tendons in legged systems has long been recognized for enabling energy-efficient locomotion. Yet, a significant challenge persists:…

Robotics · Computer Science 2026-04-03 Iskandar Khemakhem , Dominik Tschemernjak , Maximilian Raff , C. David Remy

In this paper, we discuss distributed optimization over directed graphs, where doubly-stochastic weights cannot be constructed. Most of the existing algorithms overcome this issue by applying push-sum consensus, which utilizes…

Optimization and Control · Mathematics 2019-01-30 Ran Xin , Chenguang Xi , Usman A. Khan

Entropy production in stochastic mechanical systems is examined here with strict bounds on its rate. Stochastic mechanical systems include pure diffusions in Euclidean space or on Lie groups, as well as systems evolving on phase space for…

Mathematical Physics · Physics 2022-01-12 Gregory S. Chirikjian

In this paper, we explore statistical versus computational trade-off to address a basic question in the application of a distributed algorithm: what is the minimal computational cost in obtaining statistical optimality? In smoothing spline…

Statistics Theory · Mathematics 2017-07-25 Zuofeng Shang , Guang Cheng

This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate…

Information Theory · Computer Science 2025-03-14 Vojtech Neuman , Miloslav Capek , Lukas Jelinek

Mixing of binary fluids by moving stirrers is a commonplace process in many industrial applications, where even modest improvements in mixing efficiency could translate into considerable power savings or enhanced product quality. We propose…

Fluid Dynamics · Physics 2020-07-27 Maximilian F. Eggl , Peter J. Schmid

In 3D printing, stiff fibers (e.g., carbon fiber) can reinforce thermoplastic polymers with limited stiffness. However, existing commercial digital manufacturing software only provides a few simple fiber layout algorithms, which solely use…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Xingyuan Sun , Geoffrey Roeder , Tianju Xue , Ryan P. Adams , Szymon Rusinkiewicz

A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints…

Optimization and Control · Mathematics 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

The maximum entropy principle from statistical mechanics states that a closed system attains an equilibrium distribution that maximizes its entropy. We first show that for graphs with fixed number of edges one can define a stochastic edge…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jesse S. A. Bridgewater , P. Oscar Boykin , Vwani P. Roychowdhury

Throttling in graphs optimizes a sum or product of resources used, such as the number of vertices in an initial set, and time required, such as the propagation time, to complete a given task. We introduce a new technique to establish sharp…

Combinatorics · Mathematics 2025-01-15 Ryan Blair , Gabriel Elvin , Veronika Furst , Leslie Hogben , Nandita Sahajpal , Tony W. H. Wong

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

Trimers are chains formed by two lattice edges, and therefore three monomers. We consider trimers placed on the square lattice, the edges belonging to the same trimer are either colinear, forming a straight rod with unitary statistical…

Statistical Mechanics · Physics 2023-04-19 Pablo Serra , Wellington G. Dantas , Jürgen F. Stilck

Edge computing has emerged as a key technology to reduce network traffic, improve user experience, and enable various Internet of Things applications. From the perspective of a service provider (SP), how to jointly optimize the service…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-01 Duong Tung Nguyen , Hieu Trung Nguyen , Ni Trieu , Vijay K. Bhargava

Topology optimization offers optimal material layouts, enabling automation in the design of devices. Given the recent advances in computer technology and additive manufacturing, topology optimization is increasingly being used to design…

Fluid Dynamics · Physics 2021-07-28 T. Phatak , K. B. Nakshatrala
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