基于离散局部高斯映射的分段近似可展曲面无网格非参数形状设计

IF 1.1 Q3 ENGINEERING, CIVIL

Journal of the International Association for Shell and Spatial Structures Pub Date : 2023-01-01 DOI:10.20898/j.iass.2022.023

K. Hayakawa, M. Ohsaki, Jingyao Zhang

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引用次数: 0

摘要

提出了一种由近似可展开曲面块组成的曲面形状设计的无网格非参数化方法。在曲面的网格点处定义一个局部高斯图，并根据局部高斯图的面积评价其可展开性。提出了一个求给定边界形状曲面网格点处局部高斯图的平方面积总和最小的优化问题。近似可展开表面斑块之间的内部边界是通过放松选定网格点的可展开性来生成的。数值算例验证了该方法对生成各种形状的分段近似可展曲面的有效性。

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Meshless Non-Parametric Shape Design of Piecewise Approximately Developable Surfaces Using Discretized Local Gauss Map

A meshless and non-parametric approach is proposed for shape design of curved surfaces consisting of approximately developable surface patches. A local Gauss map is defined at the grid point of a surface, and its developability is evaluated based on the area of the local Gauss map. An optimization problem is formulated for minimizing the sum of square areas of the local Gauss map at the grid points of the surface with specified boundary shape. Internal boundaries between the approximately developable surface patches are generated by relaxing the developability at the selected grid points. The effectiveness of the proposed method for generating various shapes of piecewise approximately developable surface is demonstrated in the numerical examples.

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来源期刊

Journal of the International Association for Shell and Spatial Structures ENGINEERING, CIVIL-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Association publishes an international journal, the Journal of the IASS, four times yearly, in print (ISSN 1028-365X) and on-line (ISSN 1996-9015). The months of publication are March, June, September and December. Occasional extra electronic-only issues are included in the on-line version. From this page you can access one or more issues -- a sample issue if you are not logged into the members-only portion of the site, or the current issue and several back issues if you are logged in as a member. For any issue that you can view, you can download articles as .pdf files.