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In this paper, a new lattice concept called the locally symmetric lattice is proposed for storage ring light sources. In this new lattice, beta functions are made locally symmetric about two mirror planes of the lattice cell, and the phase…

Accelerator Physics · Physics 2021-01-06 Zhenghe Bai , Penghui Yang , Guangyao Feng , Weimin Li , Lin Wang

We investigate a fixed domain approach in shape optimization, using a regularization of the Heaviside function both in the cost functional and in the state system. We consider the compliance minimization problem in linear elasticity, a well…

Optimization and Control · Mathematics 2020-04-07 Cornel Marius Murea , Dan Tiba

Architecting mechanisms of damage in metamaterials by leveraging lattice topology and geometry poses a vital yet complex challenge, essential for engineering desirable mechanical responses. Of these metamaterials, Maxwell lattices, which…

Soft Condensed Matter · Physics 2025-08-26 Leo de Waal , Matthaios Chouzouris , Marcelo A. Dias

We present a new method for stochastic shape optimisation of engineering structures. The method generalises an existing deterministic scheme, in which the structure is represented and evolved by a level-set method coupled with mathematical…

Statistical Mechanics · Physics 2017-09-13 Lester O. Hedges , H. Alicia Kim , Robert L. Jack

Nature evolves structures like honeycombs at optimized performance with limited material. These efficient structures can be artificially created with the collaboration of structural topology optimization and additive manufacturing. However,…

Computational Engineering, Finance, and Science · Computer Science 2023-03-22 Shengze Zhong , Parinya Punpongsanon , Daisuke Iwai , Kosuke Sato

We study a class of rearrangement problems under a novel pick-n-swap prehensile manipulation model, in which a robotic manipulator, capable of carrying an item and making item swaps, is tasked to sort items stored in lattices of variable…

Robotics · Computer Science 2023-01-18 Jingjin Yu

Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time-consuming to procure. A novel relation between modal and…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Petr Henyš , Danas Sutula , Jiří Kopal , Michal Kuchař , Lukáš Čapek

Mechanical metamaterials can be designed to exhibit unique mechanical properties, including tunable auxetic behavior as well as multi-stability, which arise from the geometry and configuration of the constituent building blocks.…

Soft Condensed Matter · Physics 2026-01-22 Jochem G. Meijer , Faadil Shaik , Heinrich M. Jaeger

We present a 250 line Matlab code for topology optimization for linearized buckling criteria. The code is conceived to handle stiffness, volume and Buckling Load Factors (BLFs) either as the objective function or as constraints. We use the…

Optimization and Control · Mathematics 2021-01-27 Federico Ferrari , Ole Sigmund , James K. Guest

We present and analyze a new finite element method for solving interface problems on a triangular grid. The method locally modifies a given triangulation such that the interfaces are accurately resolved and the maximal angle condition…

Numerical Analysis · Mathematics 2026-04-02 Peter Gangl , Ulrich Langer

We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structural constraints to avoid, while artificial ones are…

Optimization and Control · Mathematics 2025-11-07 Elvise Berchio , Filomena Feo , Antonio Giuseppe Grimaldi

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

This paper presents a computationally efficient method for the optimal design of silica aerogel porous material systems, balancing thermal insulation performance with mechanical stability under stress concentrations. The proposed approach…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case…

Plasma Physics · Physics 2022-05-04 Silke Glas , Misha Padidar , Ariel Kellison , David Bindel

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

A lattice approach is used to describe the mechanical interaction of a corroding reinforcement bar, the surrounding concrete and the interface between steel reinforcement and concrete. The cross-section of the ribbed reinforcement bar is…

Materials Science · Physics 2011-03-23 Peter Grassl , Trevor Davies

This paper introduces the chain lattice, a hierarchical truss structure comprising two interpenetrating lattices. One lattice toughens the material and prevents catastrophic localized failure while the other lattice serves as a porous…

Applied Physics · Physics 2020-08-19 Spencer V Taylor , Abdel R Moustafa , Zachary C Cordero

We address the inverse problem of designing isotropic pairwise particle interaction potentials that lead to the formation of a desired lattice when a system of particles is cooled. The design problem is motivated by the desire to produce…

Adaptation and Self-Organizing Systems · Physics 2009-05-13 Philip du Toit , Katalin Grubits , Jerrold Marsden , Sorin Costiner

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…

Optimization and Control · Mathematics 2019-01-25 Yoshihiro Kanno