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Tomographic volumetric additive manufacturing is a rapidly growing fabrication technology that enables rapid production of 3D objects through a single build step. In this process, the design of projections directly impacts geometric…

最优化与控制 · 数学 2024-09-23 Chi Chung Li , Joseph Toombs , Hayden K. Taylor , Thomas J. Wallin

The need for optimized structures with good mechanical performance for the minimum weight is common in industry. Solid Isotropic Material with Penalization (SIMP) is a Topology Optimization (TO) method offering a trade-off between minimum…

Design requirements for moving parts in mechanical assemblies are typically specified in terms of interactions with other parts. Some are purely kinematic (e.g., pairwise collision avoidance) while others depend on physics and material…

机器人学 · 计算机科学 2025-04-02 Amir M. Mirzendehdel , Morad Behandish

In this article we consider shape optimization problems as optimal control problems via the method of mappings. Instead of optimizing over a set of admissible shapes a reference domain is introduced and it is optimized over a set of…

最优化与控制 · 数学 2021-06-09 Johannes Haubner , Martin Siebenborn , Michael Ulbrich

Tomographic Volumetric Additive Manufacturing(TVAM) is a novel manufacturing method that allows for the fast creation of objects of complex geometry in layerless fashion. The process is based on the solidification of photopolymer that…

计算工程、金融与科学 · 计算机科学 2026-02-13 Nicole Pellizzon , Richard Huber , Jon Spangenberg , Jakob Sauer Jørgensen

In this paper we present a novel two-scale framework to optimize the structure and the material distribution of an object given its functional specifications. Our approach utilizes multi-material microstructures as low-level building blocks…

计算工程、金融与科学 · 计算机科学 2017-06-13 Bo Zhu , Mélina Skouras , Desai Chen , Wojciech Matusik

Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters are used to promote convergence to more optimal solutions;…

数值分析 · 数学 2021-01-13 Ioannis P. A. Papadopoulos , Patrick E. Farrell , Thomas M. Surowiec

A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the penalization of overhangs (regions of the design that require underlying support structures during…

最优化与控制 · 数学 2023-03-14 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

系统与控制 · 电气工程与系统科学 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

Selecting the optimal material for a part designed through topology optimization is a complex problem. The shape and properties of the Pareto front plays an important role in this selection. In this paper we show that the compliance-volume…

最优化与控制 · 数学 2022-11-29 Edouard Duriez , Miguel Charlotte , Catherine Azzaro-Pantel , Joseph Morlier

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

数值分析 · 数学 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

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…

系统与控制 · 电气工程与系统科学 2020-11-24 Filipe M. de Brito , Gélson da Cruz Júnior , Enzo M. Frazzon , João P. Basto , Symone G. S. Alcalá

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…

We study optimal design problems involving variational inequalities with unilateral conditions in the domain and pointwise boundary observation. We use regularizing and penalization tehniques in the setting of the Hamiltonian approach to…

最优化与控制 · 数学 2025-12-30 Cornel Marius Murea , Dan Tiba

Topology Optimization (TO) holds the promise of designing next-generation compact and efficient photonic components. However, ensuring the optimized designs comply with fabrication constraints imposed by semiconductor foundries remains a…

数值分析 · 数学 2024-07-02 Rahul Kumar Padhy , Aaditya Chandrasekhar

Strong adhesives rely on reduced stress concentrations, often obtained via specific geometry or composition of materials. In many examples in nature and engineering prototypes, the adhesive performance relies on structural rigidity being…

材料科学 · 物理学 2023-08-16 Zhiyuan Tong , Farid H. Benvidi , Mattia Bacca

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

A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization…

最优化与控制 · 数学 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

Metal additive manufacturing (AM) opens the possibility for spatial control of as-fabricated microstructure and properties. However, since the solid state diffusional transformations that drive microstructure outcomes are governed by…

系统与控制 · 电气工程与系统科学 2025-03-18 Mikhail Khrenov , Moon Tan , Lauren Fitzwater , Michelle Hobdari , Sneha Prabha Narra

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…

机器人学 · 计算机科学 2021-07-07 Andreas Orthey , Florian T. Pokorny , Marc Toussaint
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