为等时几何分析开发稳健且可积分的预处理工具

Akshay Pimpalkar, Vishal Agrawal, Sachin S. Gautam
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摘要

使用标准 CAD 软件构建的几何图形总是边界表示(B-Rep)的。因此,要进行三维等距测量分析(IGA),就必须对使用标准 CAD 软件构建的几何图形进行适合分析的体积参数化。本文介绍了一种用户友好、功能强大的体积参数化工具,该工具能够处理用最流行的 CAD 软件之一(即 Rhinoceros®)构建的几何体的 B-Rep。该工具分为多个阶段,首先读取任意形状几何体的标准 3DM CAD 文件。然后,它提取表面控制点,将其组织起来以建立外部结构框架,并采用 Coons 体积参数化技术,根据用户定义的规格生成内部控制点。我们使用 NURBS-Python 库读取 3DM 文件,并使用 NURBS 工具箱在构建的几何体中可视化和评估 NURBS 函数。我们构建了几个基线和复杂形状的几何体,以展示所开发工具的鲁棒性和通用性。此外,为了证明我们的工具在非线性三维问题的 IGA 中的有效性和适用性,我们模拟了使用所开发工具构建的两个可变形几何体之间的无摩擦接触。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Development of a robust and integrable pre-processing tool for isogeometric analysis

The geometries constructed using the standard CAD software are always boundary-represented (B-Rep). Due to this, analysis-suitable volumetric parameterization of the geometries constructed using the standard CAD software is necessary for three-dimensional isogeometric analysis (IGA). This paper presents a user-friendly, robust volumetric parametrization tool capable of processing the B-Rep of the geometries constructed in one of the most popular CAD software, i.e. Rhinoceros®. The developed tool traverses multiple stages, starting with reading the standard 3DM CAD files of an arbitrarily shaped geometry. It then extracts surface control points, organizes them to establish an outer structural framework, and employs Coons volume parameterization to generate internal control points based on user-defined specifications. We use the NURBS-Python library for reading 3DM files and the NURBS toolbox to visualize and evaluate NURBS functions in the constructed geometries. We construct several baseline and intricate shape geometries to showcase the robustness and generality of the developed tool. Additionally, to demonstrate the effectiveness and applicability of our tool for IGA of non-linear three-dimensional problems, we simulate frictionless contact between two deformable geometries constructed using the developed tool.

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