A Novel Shape-Adjustable Surface and Its Applications in Car Design
Source abstract
Abstract
In this paper, a new parameterized surface, termed SQ-Coons surface, is proposed according to the build mode of Coons patch. The surface is always interpolated to the boundary curves, and its shape details could be controlled by the shape parameters in CE-Bézier basis functions, which makes it suitable for styling design in computer aided design (CAD). In order to exert its geometric advantages in car design, a simplified body CAD template based on characteristic lines is built according to common vehicle features. The template is built entirely from SQ-Coons surfaces, so that the overall style and detail shapes could all be modified by the control points and shape parameters of each surface. By analyzing the curvature of fifty commercial car types generated through the template and various parameters, a set of methods for constraining the range of shape parameters is proposed. On this basis, as an example, the four shape parameters of the hood surface in one model are used as variables to optimize the body shape to achieve the lowest possible aerodynamic drag coefficient in computational fluid dynamics (CFD). The results show that the design method, combining the new surface and the model template, could reflect the modeling characteristics of different cars, and improve the design and scheme adjustment efficiency in the conceptual design stage.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Aerodynamics and Fluid Dynamics Research · Advanced Numerical Analysis Techniques · Computer Graphics and Visualization Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, China
School of Art and Design, Xi’an University of Technology, Xi’an 710054, China
School of Sciences, Xi’an University of Technology, Xi’an 710054, China
Funding
National Natural Science Foundation of China Grant · Shaanxi Province Education Department Humanities and Social Sciences Research Plan of China
References (36)
Show source-provided references
1. A roadmap for parametric CAD efficiency in the automotive industry10.1016/j.cad.2013.05.006 ↗
2. Applying a hybrid approach based on fuzzy neural network and genetic algorithm to product form design10.1016/j.ergon.2004.10.007 ↗
3. A shape sampling technique via particle tracing for CAD models10.1016/j.gmod.2018.01.003 ↗
4. Car styling: A CAD approach to identify, extract and interpret characteristic lines10.1016/j.procir.2014.03.174 ↗
5. Ostrosi, E., Bluntzer, J.B., Zhang, Z.F., and Stjepandić, J. (2018). Car style-holon recognition in computer-aided design. J. Comput. Des. Eng., in press.
6. Automatic and high-quality surface mesh generation for CAD models10.1016/j.cad.2018.12.005 ↗
7. Xiong, Y., Li, Y., Pan, P.Y., and Chen, Y. (2016). A regression-based Kansei engineering system based on form feature lines for product form design. Adv. Mech. Eng., 8.10.1177/1687814016656107 ↗
8. 3D sketching for aesthetic design using fully free-form deformation features10.1016/j.cag.2005.09.009 ↗
9. Tian, G.D., Zhang, H.H., Jia, H.F., Liu, Y.M., Xu, G., and Wang, J. (2016). Automotive style design assessment and sensitivity analysis using integrated analytic hierarchy process and technique for order preference by similarity to ideal solution. Adv. Mech. Eng., 8.10.1177/1687814016649885 ↗
10. Prediction of future car forms based on historical trends10.1016/j.pisc.2016.06.082 ↗
11. Using evolutionary design to interactively sketch car silhouettes and stimulate designer’s creativity10.1016/j.engappai.2012.02.011 ↗
12. Style synthesis and analysis of car designs for style quantification based on product appearance similarities10.1016/j.aei.2015.04.001 ↗
13. A novel extension of the Bézier model and its applications to surface modeling10.1016/j.advengsoft.2018.09.002 ↗
14. Geometric shapes of C-Bézier curves10.1016/j.cad.2014.08.007 ↗
15. The cubic trigonometric Bézier curve with two shape parameters10.1016/j.aml.2008.03.015 ↗
16. Hu, G., Bo, C.C., Wu, J.L., Wei, G., and Hou, F. (2018). Modeling of free-form complex curves using SG-Bézier curves with constraints of geometric continuities. Symmetry, 10.10.3390/sym10110545 ↗
17. Constructing curves and triangular patches by Beta functions10.1016/j.cam.2013.09.025 ↗
18. A novel extension to the polynomial basis functions describing Bezier curves and surfaces of degree n with multiple shape parameters10.1016/j.amc.2013.07.073 ↗
19. Zhang, N.J. (2011). Study of Curves & Surfaces Theory and Relevant Algorithm with Shape Parameters in Geometric Design. [Master’s Thesis, Xi’An University of Technology].
20. Trigonometric Coons Patch with Shape Parameters10.4028/www.scientific.net/AMR.482-484.595 ↗
21. Biquadrate trigonometric polynomial Coons patch with adjustable parameters
22. Structure and splice of Coons patched with shape parameters
23. Coons surfaces based on rational blending function with shape parameters and its properties
24. Piegl, L., and Tiller, W. (1997). The NURBS Book, Springer-Verlag. [2nd ed.].
25. Direct immersogeometric fluid flow analysis using B-rep CAD models10.1016/j.cagd.2016.02.007 ↗
26. Design of an energy efficient car by biomimicry of a boxfish10.1016/j.egypro.2019.02.116 ↗
27. A numerical analysis of transient flow past road vehicles subjected to pitching oscillation10.1016/j.jweia.2011.02.001 ↗
28. Numerical quantification of aerodynamic damping on pitching of vehicle-inspired bluff body10.1016/j.jfluidstructs.2012.01.002 ↗
29. Aerodynamic stability of road vehicles in dynamic pitching motion10.1016/j.jweia.2013.06.010 ↗
30. Numerical study on aerodynamic drag reduction of racing cars10.1016/j.proeng.2014.11.854 ↗
31. Turbulence modeling effects on the CFD predictions of flow over a NASCAR Gen 6 racecar10.1016/j.jweia.2018.03.016 ↗
32. Flow over a realistic car model: Wall modeled large eddy simulations assessment and unsteady effects10.1016/j.jweia.2017.12.027 ↗
33. Flow and turbulent structures around simplified car models10.1016/j.compfluid.2014.03.013 ↗
34. Aljure, D.E., Lehmkuhl, O., Martinez, D., Favre, F., and Oliva, A. (2014, January 23–25). On the IBM approximation for the wheel aerodynamic simulation. Proceedings of the First International Conference in Numerical and Experimental Aerodynamics of Road Vehicles and Trains (Aerovehicles 1), Bordeaux, France.
35. A detailed statistical study of unsteady wake dynamics from automotive bluff bodies10.1016/j.jweia.2017.09.009 ↗
36. Key factors in the use of DDES for the flow around a simplified car10.1016/j.ijheatfluidflow.2015.06.002 ↗