Abstract
Aiming at car design, a parametric design method is proposed in this paper. There are two contents in this method, a novel parametric surface, a shape-adjustable automobile styling template, and a design method of integrating the two contents. The surface termed extended SQ-Coons surface constructed in this paper has the advantage of being fine adjusted while always interpolating at the given boundary curves, which is suitable for its application in automobile modeling design. Matching with the surface, a car model template built by multiple quadrilateral surfaces is proposed. The car models built by the template could achieve the parametric adjustability of all modeling features on the premise of maintaining G 1 continuity between subsurfaces. Finally, after the integration of the surface and the template, a whole set of parametric automobile surface modeling design method is proposed. In this method, the overall shape of the car body is determined through multi angle hand drawing, and curve control points, segmentation parameters, and shape parameters are used to adjust the detail modeling. The final results show that the novel surface and template proposed could be used to parametrically establish the vehicle models of various shapes and improve the design efficiency in the conceptual design stage.
Highlights
For more than 100 years on the market, the social significance of automobile, a typical consumer industrial product, has been no longer limited to the tool attribute of transportation equipment but has given more symbolic significance of life quality and wealth status with the development of the times
Among them, extended SQ-Coons surface is the only surface with shape adjustability, interpolation on boundary curves, and generating process without cross-boundary derivative; in addition, it has the least number of control points
Because of the characteristics of extended SQ-Coons surface, as long as its shape parameters remain unchanged, its surface modeling is only controlled by the boundary curves, which has the same design concept with the car body surface modeling design method based on the characteristic curve. is makes it an inevitable choice to modify the car body by adjusting the characteristic wireframe before transforming the 3D wireframe into specific extended SQ-Coons surface
Summary
For more than 100 years on the market, the social significance of automobile, a typical consumer industrial product, has been no longer limited to the tool attribute of transportation equipment but has given more symbolic significance of life quality and wealth status with the development of the times. Mathematical Problems in Engineering modeling, researchers proposed a series of novel Bezier-type surface by introducing the shape parameters [3,4,5,6,7,8]. Taking trigonometric Hermit basis functions as the blending function, Xie et al [23] established a new surface with two shape parameters for shape adjustment and the same properties as the second type of Coons surface. E first level is the construction of a novel parametric surface (extended SQ-Coons surface), which has the advantages of both Bezier-type and Coons-type, that is, the local shape of the new surface could be adjusted while interpolating the boundary curves. E third level is the combination of the novel surface with the model template, and a whole set of design methods to generate the body surface by hand sketch and to adjust the details is integrated.
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