基于b样条的体积表示:多孔和/或非均质几何的设计、分析和制造综述

IF 3 3区 计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Gershon Elber
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引用次数: 3

摘要

基于边界表示(B-reps)的几何建模工具再也不能满足现代(增材)制造(AM)技术的需求——AM需要对内部异质场和材料进行表示和操作。此外,尽管设计和分析之间紧密耦合的必要性几乎自几何建模(GM)提出以来就被认为是至关重要的,但当代的GM系统只在两者之间提供了松散的联系。半个多世纪以来,(修剪的)非均匀有理B样条(NURB)曲面表示一直是几乎所有通用汽车行业的B代表。从根本上讲,B-rep GM在这一时期几乎没有发展。在这项工作中,我们回顾了近十年来将这种边界表示扩展到基于B样条的体积表示(V-rep)的研究和开发,该表示成功地应对了现有和预期的设计、分析和制造方面的挑战。我们已经扩展了所有基本的B-rep GM运算,如基元和曲面构造函数,以及布尔运算,以修剪三元V-rep。这一方面实现了设计几何形状和(等几何)分析之间急需的紧密联系,另一方面又完全支持多孔、(分级)非均质和各向异性几何形状的(增材)制造。展示了V-rep-GM的例子和应用,包括晶格和微结构合成以及梯度异质性的设计、分析和优化,以及AM,重点是AM。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Review of a B-spline based Volumetric Representation: Design, Analysis and Fabrication of Porous and/or Heterogeneous Geometries

The needs of modern (additive) manufacturing (AM) technologies can no longer be satisfied by geometric modeling tools that are based on boundary representations (B-reps) - AM requires the representation and manipulation of interior heterogeneous fields and materials. Further, while the need for a tight coupling between design and analysis has been recognized as crucial almost since geometric modeling (GM) was conceived, contemporary GM systems only offer a loose link between the two, if at all.

For more than half a century, the (trimmed) Non-Uniform Rational B-spline (NURBs) surface representation has been the B-rep of choice for virtually all the GM industry. Fundamentally, B-rep GM has evolved little during this period. In this work, we review almost a decade of research and development in extending this boundary representation to a B-spline based, volumetric representation (V-rep) that successfully confronts the existing and anticipated design, analysis, and manufacturing foreseen challenges. We have extended all fundamental B-rep GM operations, such as primitive and surface constructors, and Boolean operations, to trimmed trivariate V-reps. This enables the much-needed tight link between the designed geometry and (iso-geometric) analysis on one hand and the full support of (additive) manufacturing of porous, (graded-) heterogeneous and anisotropic geometries, on the other. Examples and applications of V-rep GM, that span design, analysis and optimization, and AM, of lattice- and micro-structure synthesis as well as graded-heterogeneity, are demonstrated, with emphasis on AM.

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来源期刊
Computer-Aided Design
Computer-Aided Design 工程技术-计算机:软件工程
CiteScore
5.50
自引率
4.70%
发文量
117
审稿时长
4.2 months
期刊介绍: Computer-Aided Design is a leading international journal that provides academia and industry with key papers on research and developments in the application of computers to design. Computer-Aided Design invites papers reporting new research, as well as novel or particularly significant applications, within a wide range of topics, spanning all stages of design process from concept creation to manufacture and beyond.
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