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Inverse design tools such as Topology Optimization (TO) can achieve new levels of improvement for high-performance engineered structures. However, widespread use is hindered by high computational times and a black-box nature that inhibits…

Machine Learning · Computer Science 2026-01-19 Dat Quoc Ha , Md Ferdous Alam , Markus J. Buehler , Faez Ahmed , Josephine V. Carstensen

The discretization of constrained nonlinear optimization problems arising in the field of topology optimization yields algebraic systems which are challenging to solve in practice, due to pathological ill-conditioning, strong nonlinearity…

Optimization and Control · Mathematics 2016-10-31 Michal Kocvara , Daniel Loghin , James Turner

Time-Optimal Path Parameterization (TOPP) is a well-studied problem in robotics and has a wide range of applications. There are two main families of methods to address TOPP: Numerical Integration (NI) and Convex Optimization (CO). NI-based…

Robotics · Computer Science 2017-11-23 Hung Pham , Quang-Cuong Pham

Topology optimization of permanent magnet systems consisting of permanent magnets, high permeability iron and air is presented. An implementation of topology optimization for magnetostatics is discussed and three examples are considered.…

Instrumentation and Detectors · Physics 2017-05-04 R. Bjørk , C. R. H. Bahl , A. R. Insinga

Modern manufacturing systems typically require high degrees of flexibility, in terms of ability to customize the production lines to the constantly changing market requests. For this purpose, manufacturing systems are required to be able to…

Human-Computer Interaction · Computer Science 2017-06-27 Valeria Villani , Lorenzo Sabattini , Julia N. Czerniak , Alexander Mertens , Birgit Vogel-Heuser , Cesare Fantuzzi

In this extended abstract, we report on ongoing work towards an approximate multimodal optimization algorithm with asymptotic guarantees. Multimodal optimization is the problem of finding all local optimal solutions (modes) to a path…

Robotics · Computer Science 2021-07-07 Andreas Orthey , Florian T. Pokorny , Marc Toussaint

Computational design can excite the full potential of soft robotics that has the drawbacks of being highly nonlinear from material, structure, and contact. Up to date, enthusiastic research interests have been demonstrated for individual…

Robotics · Computer Science 2023-11-22 Yue Xie , Xing Wang , Fumiya Iida , David Howard

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…

This paper introduces a shape optimisation framework for achieving desired mutual inductances (MIs) among coils in 3D space. Utilising a wire modelling approach, the coils are discretised using B-spline curves, with control points (CPs)…

Mathematical Physics · Physics 2025-06-18 Toru Takahashi , Tatsuya Tokito , Yi Cui , Toshiro Matsumoto

It is often the case that the computed optimal solution of an optimization problem cannot be implemented directly, irrespective of data accuracy, due to either (i) technological limitations (such as physical tolerances of machines or…

Optimization and Control · Mathematics 2014-05-21 Han Men , Robert M. Freund , Ngoc C. Nguyen , Joel Saa-Seoane , Jaime Peraire

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…

Graphics · Computer Science 2023-08-09 Ming Li , Jingqiao Hu , Wei Chen , Weipeng Kong , Jin Huang

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…

Machine Learning · Computer Science 2022-10-05 Hongrui Chen , Aditya Joglekar , Kate S. Whitefoot , Levent Burak Kara

Efficient thermal management in high-power electronic devices requires cooling channel designs that provide high heat removal while satisfying strict spatial and manufacturing constraints. This study presents a two-stage hierarchical…

Optimization and Control · Mathematics 2026-03-31 Shunsuke Hirotani , Kunitaka Shintani , Yoshikatsu Furusawa , Kentaro Yaji

This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D topologies optimized for minimum compliance on a standard PC. Using an implicit geometry description we derive a single-scale interpretation of optimal…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Jeroen Groen , Florian Stutz , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

We study certain topological problems that are inspired by applications to autonomous robot manipulation. Consider a continuous map $f\colon X\to Y$, where $f$ can be a kinematic map from the configuration space $X$ to the working space $Y$…

Algebraic Topology · Mathematics 2019-12-04 Petar Pavešić

Collision-tolerant trajectory planning is the consideration that collisions, if they are planned appropriately, enable more effective path planning for robots capable of handling them. A mixed integer programming (MIP) optimization…

Robotics · Computer Science 2016-11-24 Mark L. Mote , Juan-Pablo Afman , Eric Feron

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global…

Mathematical Software · Computer Science 2022-12-28 Jean-Sylvain Camier , Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

One major recurring challenge in deploying manipulation robots is determining the optimal placement of manipulators to maximize performance. This challenge is exacerbated in complex, cluttered agricultural environments of high-value crops,…

Robotics · Computer Science 2025-07-30 Dominic Guri , George Kantor

The transition from free motion to contact is a challenging problem in robotics, in part due to its hybrid nature. Additionally, disregarding the effects of impacts at the motion planning level often results in intractable impulsive contact…

Robotics · Computer Science 2020-09-04 Theodoros Stouraitis , Lei Yan , João Moura , Michael Gienger , Sethu Vijayakumar

Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with enhanced sustainability by means of component reuse. For…

Materials Science · Physics 2022-05-25 Marek Tyburec , Martin Doškář , Jan Zeman , Martin Kružík
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