| 摘 要: 在当今的智能制造和工业软件设计领域，CAD和CAE是极为重要的技术。但现有的CAD和CAE模型表示方法不统一，在数据交换上需要耗费大量时间，造成了计算资源极大的浪费。非均匀有理B样条(NURBS)模型作为一种兼容CAD和CAE的模型表达方式，以样条曲线为基函数，无须进行交换即可进行等几何分析。本文提出了一种基于质量约束的NURBS体建模方法，将模型质量作为建模时的约束，使构建的模型符合等几何分析的要求。本文以带有复连通域的模型为例进行等几何分析，经过与主流商业软件的对比，最小值相同，最大值误差在10%以内，运行时间减少了4.61%，验证了此方法的正确性。 |
| 关键词: NURBS；建模方法；等几何分析 |
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中图分类号: TP391.41
文献标识码: A
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| 3D Modeling based on Mass Dependence |
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BU Ningyuan, XIE Yuyang
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(School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China)
BNY19971997@163.com; 826647688@qq.com
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| Abstract: CAD (Computer Aided Design) and CAE (Computer Aided Engineering) are extremely important technologies in today's intelligent manufacturing and industrial software design fields. However, representation methods of the existing CAD and CAE model vary, and it consumes a lot of time to exchange data, resulting in a great waste of computing resources. Non-uniform rational B-spline (NURBS) model, as a model expression compatible with CAD and CAE, takes spline curve as the basis function, and can perform isogeometric analysis without exchange. This paper proposes a NURBS modeling method based on mass dependence, which takes model mass as a constraint during modeling, so that the constructed model meets the requirements of isogeometric analysis. This paper takes a model with a complex connected domain as an example to perform isogeometric analysis. Compared with popular commercial software, the minimum value is the same, the maximum error is within 10%, and the running time decreases by 4.61%, which verifies the correctness of this method. |
| Keywords: NURBS; modeling method; isogeometric analysis |
