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This study presents a spiral-based complete coverage strategy for ball-end milling on freeform surfaces, utilizing conformal slit mapping to generate milling trajectories that are more compact, smoother, and evenly distributed when…

图形学 · 计算机科学 2025-04-15 Changqing Shen , BingZhou Xu , Xiaojian Zhang , Sijie Yan , Han Ding

The aim of tool path planning is to maximize the efficiency against some given precision criteria. In practice, scallop height should be kept constant to avoid unnecessary cutting, while the tool path should be smooth enough to maintain a…

图形学 · 计算机科学 2018-11-20 Qiang Zou , Juyong Zhang , Bailin Deng , Jibin Zhao

This paper presents a new method to generate tool paths for machining freeform surfaces represented either as parametric surfaces or as triangular meshes. This method allows for the optimal tradeoff between the preferred feed direction…

图形学 · 计算机科学 2020-09-08 Qiang Zou , Charlie C. L. Wang , Hsi-Yung Feng

The generation of smoother and shorter spiral complete coverage paths in multi-connected domains is a crucial research topic in path planning for robotic cavity machining and other related fields. Traditional methods for spiral path…

机器人学 · 计算机科学 2024-04-18 Changqing Shen , Sihao Mao , Bingzhou Xu , Ziwei Wang , Xiaojian Zhang , Sijie Yan , Han Ding

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

偏微分方程分析 · 数学 2023-07-10 Stefano Almi , Ulisse Stefanelli

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

计算工程、金融与科学 · 计算机科学 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

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

The class of linear pentapods with a simple singularity variety is obtained by imposing architectural restrictions on the design in such a way that the manipulators singularity variety is linear in orientation position variables. It turns…

最优化与控制 · 数学 2019-10-14 Arvin Rasoulzadeh , Georg Nawratil

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

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

最优化与控制 · 数学 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

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…

Metal additive manufacturing (AM) processes often fabricate a near-net shape that includes the as-designed part as well as the sacrificial support structures that need to be machined away by subtractive manufacturing (SM), for instance…

计算工程、金融与科学 · 计算机科学 2021-08-09 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

最优化与控制 · 数学 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

The paper presents a novel, parameter free, density evaluation method for topology optimization based on normalized product of a scalar field. The approach imposes length scale on solid phase implicitly and allows for pure 0-1 singularity…

数学物理 · 物理学 2022-08-25 Nikhil Singh , Anupam Saxena

Directional fields, including unit vector, line, and cross fields, are essential tools in the geometry processing toolkit. The topology of directional fields is characterized by their singularities. While singularities play an important…

图形学 · 计算机科学 2024-05-08 David Palmer , Albert Chern , Justin Solomon

In this article, a compliance minimisation scheme for designing spatially varying orthotropic porous structures is proposed. With the utilisation of conformal mapping, the porous structures here can be generated by two controlling field…

数值分析 · 数学 2022-02-16 Shaoshuai Li , Yichao Zhu , Xu Guo

Topology optimization of microstructures plays a critical role in optimizing functional performance across diverse engineering applications. While metamaterials with enhanced mechanical properties -- such as hyperelasticity, energy…

软凝聚态物质 · 物理学 2025-01-27 Weiming Wang , Yanhao Hou , Renbo Su , Weiguang Wang , Charlie C. L. Wang

Soft robotics has emerged as the standard solution for grasping deformable objects, and has proven invaluable for mobile robotic exploration in extreme environments. However, despite this growth, there are no widely adopted computational…

机器人学 · 计算机科学 2024-07-11 Yue Xie , Josh Pinskier , Lois Liow , David Howard , Fumiya Iida

This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

数值分析 · 数学 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

Persistence-based topological optimization deforms a point cloud $X \subset \mathbb{R}^d$ by minimizing objectives of the form $L(X) = \ell(\mathrm{Dgm}(X))$, where $\mathrm{Dgm}(X)$ is a persistence diagram. In practice, optimization is…

计算几何 · 计算机科学 2026-05-13 Abderrahim Bendahi , Alexandre Duplessis , Arnaud Fickinger
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