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We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss lattices under quasistatic loading. We make use of a first-order…

其他凝聚态物理 · 物理学 2022-05-31 Bastian Telgen , Ole Sigmund , Dennis M. Kochmann

Modern and future high precision pointing space missions face increasingly high challenges related to the widespread use of large flexible structures. The development of new modeling tools which are able to account for the multidisciplinary…

系统与控制 · 电气工程与系统科学 2022-01-06 Antonio Finozzi , Francesco Sanfedino , Daniel Alazard

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

材料科学 · 物理学 2019-02-07 Chris J. Pickard

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

计算工程、金融与科学 · 计算机科学 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

Truss structures at macro-scale are common in a number of engineering applications and are now being increasingly used at the micro-scale to construct metamaterials. In analyzing the properties of a given truss structure, it is often…

数值分析 · 数学 2025-07-08 Sean Fancher , Prashant Purohit , Eleni Katifori

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

斑图形成与孤子 · 物理学 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

This paper presents a practical and scalable grid-based state estimation method for high-dimensional models with invertible linear dynamics and with highly non-linear measurements, such as the nearly constant velocity model with…

信号处理 · 电气工程与系统科学 2026-01-13 J. Matoušek , J. Krejčí , J. Duník , R. Zanetti

Fast and accurate prediction of optimal crystal structure, topology, and microstructures is important for accelerating the design and discovery of new materials. A challenge lies in the exorbitantly large structural and compositional space…

This paper deals with the definition and optimization of augmentation spaces for faster convergence of the conjugate gradient method in the resolution of sequences of linear systems. Using advanced convergence results from the literature,…

数值分析 · 数学 2013-02-01 Pierre Gosselet , Christian Rey , Julien Pebrel

This paper shows the complementary roles of mathematical and engineering points of view when dealing with truss analysis problems involving systems of linear equations and inequalities. After the compatibility condition and the mathematical…

计算工程、金融与科学 · 计算机科学 2015-01-28 R. Mínguez , E. Castillo , R. Pruneda , C. Solares

This study investigates the combined use of generative grammar rules and Monte Carlo Tree Search (MCTS) for optimizing truss structures. Our approach accommodates intermediate construction stages characteristic of progressive construction…

计算工程、金融与科学 · 计算机科学 2025-04-03 Gabriel Garayalde , Luca Rosafalco , Matteo Torzoni , Alberto Corigliano

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

天体物理仪器与方法 · 物理学 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

We present and analyze a preconditioned conjugate gradient method (PCG) for solving spatial network problems. Primarily, we consider diffusion and structural mechanics simulations for fiber based materials, but the methodology can be…

数值分析 · 数学 2022-07-18 Morgan Görtz , Fredrik Hellman , Axel Målqvist

The focus of this paper is on topology optimization of continuum structures subject to thermally induced buckling. Popular strategies for solving such problems include Solid Isotropic Material with Penalization (SIMP) and Rational…

计算工程、金融与科学 · 计算机科学 2022-03-31 Shiguang Deng , Suresh Krishnan

This paper presents a novel approach to the optimisation of structures using a Tabu search (TS) method. TS is a metaheuristic which is used to guide local search methods towards a globally optimal solution by using flexible memory cycles of…

计算工程、金融与科学 · 计算机科学 2014-10-30 Andy M. Connor , Keith A. Seffen , Geoffrey T. Parks , P. John Clarkson

Tensor network structure search (TN-SS) aims to automatically discover optimal network topologies and rank configurations for efficient tensor decomposition in high-dimensional data representation. Despite recent advances, existing TN-SS…

计算机视觉与模式识别 · 计算机科学 2026-01-01 Maolin Wang , Bowen Yu , Sheng Zhang , Linjie Mi , Wanyu Wang , Yiqi Wang , Pengyue Jia , Xuetao Wei , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao

This paper addresses testing of compressed structures, such as shells, that exhibit catastrophic buckling and notorious imperfection sensitivity. The central concept is the probing of a loaded structural specimen by a controlled lateral…

软凝聚态物质 · 物理学 2018-02-14 J. Michael T. Thompson , John W. Hutchinson , Jan Sieber

In this work, geometry optimization of mechanical truss using computer-aided finite element analysis is presented. The shape of the truss is a dominant factor in determining the capacity of load it can bear. At a given parameter space, our…

应用统计 · 统计学 2023-07-04 Bhawani Sandeep , Surjeet Singh , Sumit Kumar

In this paper, we consider augmented Lagrangian (AL) algorithms for solving large-scale nonlinear optimization problems that execute adaptive strategies for updating the penalty parameter. Our work is motivated by the recently proposed…

最优化与控制 · 数学 2017-01-02 Frank E. Curtis , Nicholas I. M. Gould , Hao Jiang , Daniel P. Robinson

This work presents a multilevel approach to large--scale topology optimization accounting for linearized buckling criteria. The method relies on the use of preconditioned iterative solvers for all the systems involved in the linear buckling…

数值分析 · 数学 2020-03-03 Federico Ferrari , Ole Sigmund
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