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It is nowadays widely acknowledged that optimal structural design should be robust with respect to the uncertainties in loads and material parameters. However, there are several alternatives to consider such uncertainties in structural…

计算工程、金融与科学 · 计算机科学 2022-01-26 Gustavo Assis da Silva , Eduardo Lenz Cardoso , Andre T. Beck

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

计算工程、金融与科学 · 计算机科学 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

In this paper, approximation schemes are proposed for handling load uncertainty in compliance-based topology optimization problems, where the uncertainty is described in the form of a set of finitely many loading scenarios. Efficient…

计算工程、金融与科学 · 计算机科学 2022-05-03 Mohamed Tarek , Tapabrata Ray

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

计算物理 · 物理学 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

This paper presents a novel phase-field-based methodology for solving minimum compliance problems in topology optimization under fixed external loads and body forces. The proposed framework characterizes the optimal structure through an…

最优化与控制 · 数学 2025-07-23 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

In this paper, the problem of load uncertainty in compliance problems is addressed where the uncertainty is described in the form of a set of finitely many loading scenarios. Computationally more efficient methods are proposed to exactly…

计算工程、金融与科学 · 计算机科学 2021-09-29 Mohamed Tarek , Tapabrata Ray

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…

最优化与控制 · 数学 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

计算工程、金融与科学 · 计算机科学 2016-08-25 Oded Amir

This paper presents a robust density-based topology optimization approach for synthesizing pressure-actuated compliant mechanisms. To ensure functionality under manufacturing inaccuracies, the robust or three-field formulation is employed,…

计算工程、金融与科学 · 计算机科学 2023-04-13 Prabhat Kumar , Matthijs Langelaar

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…

系统与控制 · 计算机科学 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

Designing lightweight yet stiff structures that can withstand vibrations is a crucial task in structural optimization. Here, we present a novel framework for truss topology optimization under undamped harmonic oscillations. Our approach…

最优化与控制 · 数学 2025-04-21 Shenyuan Ma , Jakub Marecek , Vyacheslav Kungurtsev , Marek Tyburec

A new topology optimization method called the Proportional Topology Optimization (PTO) is presented. As a non-gradient method, PTO is simple to understand, easy to implement, and is also efficient and accurate at the same time. It is…

计算工程、金融与科学 · 计算机科学 2016-05-30 Emre Biyikli , Albert C. To

We consider the shape and topology optimization problem to design a structure that minimizes a weighted sum of material consumption and (linearly) elastic compliance under a fixed given boundary load. As is well-known, this problem is in…

最优化与控制 · 数学 2022-06-22 Jonas Potthoff , Benedikt Wirth

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

计算工程、金融与科学 · 计算机科学 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

计算工程、金融与科学 · 计算机科学 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

In this article we develop a duality principle and concerning computational method for a structural optimization problem in elasticity. We consider the problem of finding the optimal topology for an elastic solid which minimizes its…

最优化与控制 · 数学 2019-11-13 Fabio Botelho , Alexandre Molter

Optimization problems that involve topology optimization in scenarios with large scale outages, such as post-disaster restoration or public safety power shutoff planning, are very challenging to solve. Using simple power flow…

系统与控制 · 电气工程与系统科学 2025-06-04 Noah Rhodes , James Luedkte , Line Roald

This paper presents tractable reformulations of topology optimization problems of structures subject to frictionless unilateral contact conditions. Specifically, we consider stiffness maximization problems of trusses and continua. Based on…

最优化与控制 · 数学 2020-11-17 Yoshihiro Kanno

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

计算工程、金融与科学 · 计算机科学 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

计算工程、金融与科学 · 计算机科学 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei
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