Computer-Aided Design最新文献_第8页

Meta-Meshing and Triangulating Lattice Structures at a Large Scale 大规模元网格和三角网格结构

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-28 DOI: 10.1016/j.cad.2024.103732

Qiang Zou, Yunzhu Gao, Guoyue Luo, Sifan Chen

{"title":"Meta-Meshing and Triangulating Lattice Structures at a Large Scale","authors":"Qiang Zou, Yunzhu Gao, Guoyue Luo, Sifan Chen","doi":"10.1016/j.cad.2024.103732","DOIUrl":"https://doi.org/10.1016/j.cad.2024.103732","url":null,"abstract":"<div><p>Lattice structures have been widely used in applications due to their superior mechanical properties. To fabricate such structures, a geometric processing step called triangulation is often employed to transform them into the STL format before sending them to 3D printers. Because lattice structures tend to have high geometric complexity, this step usually generates a large amount of triangles, a memory and compute-intensive task. This problem manifests itself clearly through large-scale lattice structures that have millions or billions of struts. To address this problem, this paper proposes to transform a lattice structure into an intermediate model called meta-mesh before undergoing real triangulation. Compared to triangular meshes, meta-meshes are very lightweight and much less compute-demanding. The meta-mesh can also work as a base mesh reusable for conveniently and efficiently triangulating lattice structures with arbitrary resolutions. A CPU+GPU asynchronous meta-meshing pipeline has been developed to efficiently generate meta-meshes from lattice structures. It shifts from the thread-centric GPU algorithm design paradigm commonly used in CAD to the recent warp-centric design paradigm to achieve high performance. This is achieved by a new data compression method, a GPU cache-aware data structure, and a workload-balanced scheduling method that can significantly reduce memory divergence and branch divergence. Experimenting with various billion-scale lattice structures, the proposed method is seen to be two orders of magnitude faster than previously achievable.</p></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"174 ","pages":"Article 103732"},"PeriodicalIF":4.3,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141263840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Simulating Thin Shells by Bicubic Hermite Elements 用双三次赫米特元素模拟薄壳

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-27 DOI: 10.1016/j.cad.2024.103734

Xingyu Ni , Xuwen Chen , Cheng yu , Bin Wang , Baoquan Chen

{"title":"Simulating Thin Shells by Bicubic Hermite Elements","authors":"Xingyu Ni , Xuwen Chen , Cheng yu , Bin Wang , Baoquan Chen","doi":"10.1016/j.cad.2024.103734","DOIUrl":"https://doi.org/10.1016/j.cad.2024.103734","url":null,"abstract":"<div><p>In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the elastodynamic simulation of thin-shell structures. The BHEM is constructed based on quadrilateral Hermite patches, which serve as a unified representation for shell geometry, simulation, collision avoidance, as well as rendering. Compared with the commonly utilized linear FEM, the BHEM offers higher-order solution spaces, enabling the capture of more intricate and smoother geometries while employing significantly fewer finite elements. In comparison to other high-order methods, the BHEM achieves conforming <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> continuity for Kirchhoff–Love (KL) shells with minimal complexity. Furthermore, by leveraging the subdivision and convex hull properties of Hermite patches, we develop an efficient algorithm for ray-patch intersections, facilitating collision handling in simulations and ray tracing in rendering. This eliminates the need for laborious remodeling of the pre-existing surface as the conventional approaches do. We substantiate our claims with comprehensive experiments, which demonstrate the high accuracy and versatility of the proposed method.</p></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"174 ","pages":"Article 103734"},"PeriodicalIF":4.3,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141263839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Three-Grid High-Order Immersed Finite Element Method for the Analysis of CAD Models 用于分析 CAD 模型的三网格高阶沉浸式有限元方法

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-23 DOI: 10.1016/j.cad.2024.103730

Eky Febrianto , Jakub Šístek , Pavel Kůs , Matija Kecman , Fehmi Cirak

{"title":"A Three-Grid High-Order Immersed Finite Element Method for the Analysis of CAD Models","authors":"Eky Febrianto , Jakub Šístek , Pavel Kůs , Matija Kecman , Fehmi Cirak","doi":"10.1016/j.cad.2024.103730","DOIUrl":"10.1016/j.cad.2024.103730","url":null,"abstract":"<div><p>The automated finite element analysis of complex CAD models using boundary-fitted meshes is rife with difficulties. Immersed finite element methods are intrinsically more robust but usually less accurate. In this work, we introduce an efficient, robust, high-order immersed finite element method for complex CAD models. Our approach relies on three adaptive structured grids: a geometry grid for representing the implicit geometry, a finite element grid for discretising physical fields and a quadrature grid for evaluating the finite element integrals. The geometry grid is a sparse VDB (Volumetric Dynamic B+ tree) grid that is highly refined close to physical domain boundaries. The finite element grid consists of a forest of octree grids distributed over several processors, and the quadrature grid in each finite element cell is an octree grid constructed in a bottom-up fashion. The resolution of the quadrature grid ensures that finite element integrals are evaluated with sufficient accuracy and that any sub-grid geometric features, like small holes or corners, are resolved up to a desired resolution. The conceptual simplicity and modularity of our approach make it possible to reuse open-source libraries, i.e. openVDB and p4est for implementing the geometry and finite element grids, respectively, and BDDCML for iteratively solving the discrete systems of equations in parallel using domain decomposition. We demonstrate the efficiency and robustness of the proposed approach by solving the Poisson equation on domains described by complex CAD models and discretised with tens of millions of degrees of freedom. The solution field is discretised using linear and quadratic Lagrange basis functions.</p></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"173 ","pages":"Article 103730"},"PeriodicalIF":4.3,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0010448524000575/pdfft?md5=4a08556c1ca14857794f138fb192f80d&pid=1-s2.0-S0010448524000575-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141191563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

TPMS2STEP: Error-Controlled and C2 Continuity-Preserving Translation of TPMS Models to STEP Files Based on Constrained-PIA TPMS2STEP：将 TPMS 模型翻译为 TPMS2STEP：误差控制和 C2 连续性保护

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-22 DOI: 10.1016/j.cad.2024.103726

Yaonaiming Zhao , Qiang Zou , Guoyue Luo , Jiayu Wu , Sifan Chen , Depeng Gao , Minghao Xuan , Fuyu Wang

{"title":"TPMS2STEP: Error-Controlled and C2 Continuity-Preserving Translation of TPMS Models to STEP Files Based on Constrained-PIA","authors":"Yaonaiming Zhao , Qiang Zou , Guoyue Luo , Jiayu Wu , Sifan Chen , Depeng Gao , Minghao Xuan , Fuyu Wang","doi":"10.1016/j.cad.2024.103726","DOIUrl":"10.1016/j.cad.2024.103726","url":null,"abstract":"<div><p>Triply periodic minimal surface (TPMS) is emerging as an important way of designing microstructures. However, there has been limited use of commercial CAD/CAM/CAE software packages for TPMS design and manufacturing. This is mainly because TPMS is consistently described in the functional representation (F-rep) format, while modern CAD/CAM/CAE tools are built upon the boundary representation (B-rep) format. One possible solution to this gap is translating TPMS to STEP, which is the standard data exchange format of CAD/CAM/CAE. Following this direction, this paper proposes a new translation method with error-controlling and <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> continuity-preserving features. It is based on an approximation error-driven TPMS sampling algorithm and a constrained-PIA algorithm. The sampling algorithm controls the deviation between the original and translated models. With it, an error bound of <span><math><mrow><mn>2</mn><mi>ϵ</mi></mrow></math></span> on the deviation can be ensured if two conditions called <span><math><mi>ϵ</mi></math></span>-density and <span><math><mi>ϵ</mi></math></span>-approximation are satisfied. The constrained-PIA algorithm enforces <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> continuity constraints during TPMS approximation, and meanwhile attaining high efficiency. A theoretical convergence proof of this algorithm is also given. The effectiveness of the translation method has been demonstrated by a series of examples and comparisons. The code will be open-sourced upon publication.</p></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"173 ","pages":"Article 103726"},"PeriodicalIF":4.3,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141144015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

TriClsNet: Surface Reconstruction via Graph-based Triangle Classification TriClsNet：通过基于图形的三角形分类进行曲面重构

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-21 DOI: 10.1016/j.cad.2024.103729

Fei Liu, Ying Pan, Qingguang Li

引用次数: 0

MS-GIFT: Multi-Sided Geometry-Independent Field ApproximaTion Approach for Isogeometric Analysis MS-GIFT：等时几何分析的多面几何独立场逼近法

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-21 DOI: 10.1016/j.cad.2024.103731

Meng-Yun Wang , Ye Ji , Lin Lan , Chun-Gang Zhu

引用次数: 0

Isogeometric Shape Optimization of Reissner–Mindlin Shell with Analytical Sensitivity and Application to Cellular Sandwich Structures 具有分析灵敏度的 Reissner-Mindlin Shell 等几何形状优化及其在蜂窝夹层结构中的应用

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-18 DOI: 10.1016/j.cad.2024.103728

Xiaoxiao Du , Jiayi Li , Wei Wang , Gang Zhao , Yazui Liu , Pengfei Zhang

{"title":"Isogeometric Shape Optimization of Reissner–Mindlin Shell with Analytical Sensitivity and Application to Cellular Sandwich Structures","authors":"Xiaoxiao Du , Jiayi Li , Wei Wang , Gang Zhao , Yazui Liu , Pengfei Zhang","doi":"10.1016/j.cad.2024.103728","DOIUrl":"10.1016/j.cad.2024.103728","url":null,"abstract":"<div><p>Structural shape optimization plays a significant role in structural design, as it can find an appropriate layout and shape to improve structural performance. Isogeometric analysis provides a promising framework for structural shape optimization, unifying the design model and analysis model in the optimization process. This paper presents an adjoint-based analytical sensitivity for isogeometric shape optimization of Reissner–Mindlin shell structures. The shell structures are modeled by multiple NURBS surfaces and design variables are associated with the position of control points. A multilevel approach is performed with a coarse mesh for the design model and a dense mesh for the analysis model. The sensitivity propagation is achieved through a transformation matrix between the design and analysis models. Structural compliance minimization problems with and without constraints are studied and the optimization history shows that the optimization can converge quickly within fewer iterations. The developed formulations are validated through several numerical examples and applied to the optimization of cellular sandwich structures, which are widely used in engineering applications. Numerical results show that optimized sandwich panels can achieve better performance in bending resistance.</p></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"173 ","pages":"Article 103728"},"PeriodicalIF":4.3,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141135663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Splines for Fast-Contracting Polyhedral Control Nets 用于快速收缩多面体控制网的样条线

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-11 DOI: 10.1016/j.cad.2024.103727

Erkan Gunpinar , Kȩstutis Karčiauskas , Jörg Peters

引用次数: 0

Collision-free Tool Motion Planning for 5-Axis CNC Machining with Toroidal Cutters 使用环形铣刀进行 5 轴数控加工的无碰撞刀具运动规划

IF 4.3 3区计算机科学

Computer-Aided Design Pub Date : 2024-05-11 DOI: 10.1016/j.cad.2024.103725

Juan Zaragoza Chichell , Alena Rečková , Michal Bizzarri , Michael Bartoň

引用次数: 0

Virtual design of woven fabrics based on parametric modeling and physically based rendering 基于参数建模和物理渲染的编织物虚拟设计