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In a recent paper by the same authors, we provided a theoretical foundation for the component-by-component (CBC) construction of lattice algorithms for multivariate $L_2$ approximation in the worst case setting, for functions in a periodic…

Numerical Analysis · Mathematics 2019-10-16 Ronald Cools , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

This paper proposes an adaptive lattice-based motion planning solution to address the problem of generating feasible trajectories for systems, represented by a linearly parameterizable non-linear model operating within a cluttered…

Robotics · Computer Science 2025-08-20 Abhishek Dhar , Sarthak Mishra , Spandan Roy , Daniel Axehill

An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution…

Computational Geometry · Computer Science 2021-11-10 Xingtong Yang , Xinzhuo Hu , Liangchao Zhu , Ming Li

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

In the current industrial revolution, additive manufacturing (AM) embodies a promising technology that can enhance the effectiveness, adaptability, and competitiveness of supply chains (SCs). Moreover, it facilitates the development of…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Filipe M. de Brito , Gélson da Cruz Júnior , Enzo M. Frazzon , João P. Basto , Symone G. S. Alcalá

This paper presents a novel adaptive-sparse polynomial dimensional decomposition (PDD) method for stochastic design optimization of complex systems. The method entails an adaptive-sparse PDD approximation of a high-dimensional stochastic…

Numerical Analysis · Mathematics 2016-01-13 Sharif Rahman , Xuchun Ren , Vaibhav Yadav

In recent years, the integration of additive manufacturing (AM) and industrial robotics has opened new perspectives for the production of complex components, particularly in the automotive sector. Robot-assisted additive manufacturing…

Robotics · Computer Science 2026-04-03 Alessandro Dimauro , Davide Tebaldi , Fabio Pini , Luigi Biagiotti , Francesco Leali

The paper presents an innovative methodology based on the use of a new predictive algorithm created by the researchers capable of obtaining the elastic modulus of a plastic material manufactured with MEX and its mechanical behaviour in the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 J. M. Mercado Colmenero , C. Martin Donate

Aside from the capability of additive manufacturing (AM) methods in fabricating components with complex geometries, two crucial potentials of this manufacturing process that are worth mentioning are its flexibility in being combined with…

Applied Physics · Physics 2018-08-07 M. Toursangsaraki

Architected materials of significant geometric complexity offer exceptional mechanical properties that often surpass those of their constituent materials. However, their fabrication through extrusion-based 3D printing remains hindered by…

Computational Engineering, Finance, and Science · Computer Science 2025-09-01 Pierpaolo Fucile , Maria Kalogeropoulou , Vivek Cherian David , Lorenzo Moroni

Replicating and surpassing the autonomy of natural organisms remains a long-standing goal in robotics. Yet most robotic systems have their structure, materials, and control designed separately, in sharp contrast to the co-evolution in…

Robotics · Computer Science 2026-05-14 Qinsong Guo , Liwei Wang

Robotic surfaces traditionally use materials with a positive Poisson's ratio to push and pull on a manipulation interface. Auxetic materials with a negative Poisson's ratio may expand in multiple directions when stretched and enable…

Robotics · Computer Science 2025-12-02 Jacob Miske , Ahyan Maya , Ahnaf Inkiad , Jeffrey Ian Lipton

Topology optimization produces designs with intricate geometries and complex topologies that require advanced manufacturing techniques such as additive manufacturing (AM). However, insufficient consideration of manufacturability during the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-28 Seungheon Shin , Byeonghyeon Goh , Youngtaek Oh , Hayoung Chung

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

We introduce the arithmetic width of a convex body, defined as the number of distinct values a linear functional attains on the lattice points within the body. Arithmetic width refines lattice width by detecting gaps in the lattice point…

Combinatorics · Mathematics 2025-09-08 Jesús A. De Loera , Brittney Marsters , Christopher O'Neill

A 2D lattice approach to describe hydraulic fracturing is presented. The interaction of fluid pressure and mechanical response is described by Biot's theory. The lattice model is applied to the analysis of a thick-walled cylinder, for which…

Materials Science · Physics 2014-12-03 Peter Grassl , Caroline Fahy , Domenico Gallipoli , Simon J. Wheeler

Lattice structures and thin-walled tubes are two types of energy-absorbers widely studied and applied in engineering practice. In this study, a new type of lattice-structure filled thin-walled tube (LFT) was proposed. In this new type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Jiyuan Lv , Zhonghao Bai , Xianping Du , Feng Zhu , Clifford C. Chou , Binhui Jiang , Shiwei Xu

This paper proposes a novel 3D graphical representation for impedance control, called the impedance space, to foster the analysis of the dynamic behavior of robotic compliant controllers. The method overcomes limitations of existing 2D…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Leonardo F. Dos Santos , Cícero Zanette , Elisa G. Vergamini , Lucca Maitan , Thiago Boaventura

Spaced-based mirrors are a developing use-case for Additive Manufacturing (AM), the process that builds a part layer-by-layer. The increased geometric freedom results in novel and advantageous designs previously unachievable.…

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