Gear model region parameterization method based on subdivision technology and boundary replacement

Abstract

The invention discloses a gear model region parameterization method based on subdivision technology and boundary replacement. A graph model with a complex region is difficultly subjected to high-quality parameterization. According to the method, the concave-convex degree of each section of a curve is reduced through a curve segmentation method, and a turnover quadrilateral mesh model is ensured not to be generated, so that the parameterization quality of a gear model is optimized, and the effectiveness requirement of the gear model on isogeometric analysis in engineering application is met; then by modifying a mean distance value of polygonal boundaries of the gear model and uniformizing the distances between the vertexes of the boundaries, the generation rate of quadrilateral meshes is improved; and a boundary replacement method is used to ensure that the shape of the gear model is not changed, and a smoothing method and a C-C subdivision method are used to optimize the gear model insmoothness and continuity, so that the smoothness and the robustness requirements of the engineering application on the isogeometric analysis are met.

Description

technical field [0001] The invention belongs to the field of computer-aided design and engineering application, in particular to a gear model area parameterization method based on subdivision technology and boundary replacement. Background technique [0002] Computer-aided design (CAD) technology and computer-aided engineering (CAE) technology have a very far-reaching influence in today's computer application and development, and they have been widely used in aerospace, automobile manufacturing, architectural design, mechanical electronics and other fields. application. In CAD technology, the object shape is represented by the boundary model, and the boundary model contains the information of the internal surface of the geometric model. Isogeometric analysis often requires parameterization inside the geometric model area. Therefore, in order to make the CAD model more suitable for isogeometric analysis, it is necessary to study the method and technology of constructing area...

AI Technical Summary

Problems solved by technology

However, most of the existing methods can only deal with the parameterization of some simple regions, but for some graphical models with complex regions, it is difficult to achieve high-quality parameterization

For example, when dealing with some grid areas with large concave and convex degrees, it is easy to form flipped grids there, which seriously affects the quality of area parameterization.

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