| PERIODIC DEFORMATION OF PARAMETRIC SURFACE |
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| 作者姓名： | Wang Xiaoping
Zhou Rurong
Research Center of
CAD/CAM Engineering Nanjing University of Aeronautics
and Astronautics Nanjing China
Ye Zhengiin |
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| 作者单位： | Wang Xiaoping
Zhou Rurong
Research Center of
CAD/CAM Engineering，Nanjing University of Aeronautics
and Astronautics，Nanjing 210016，China
Ye Zhengiin
Department of Information Science and Mathematics，Northwestern Polytechnical University，Xi'an 710072，China
Zhang Liyan
Research Center of
CAD/CAM Engineering，Nanjing University of Aeronautics
and Astronautics，Nanjing 210016，China |
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| 基金项目： | This project is supported by National Natural Science Foundation of China (No.60273097)，Provincial Natural Science Foundation of Jiangsu, China (No.BK 2001408). |
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| 摘 要： | Deformation is a powerful tool for geometric modeling and design. Such a tool can be used to create a new shape from existing shape without restarting whole design process. A new mathematical model for producing controllable periodic deformations is proposed. By introducing cosine extension functions construct a shape operator matrix and then use the matrix to transform the position vector of some points on the object surface so as to create the deformation effects. Because the cosine extension (Unctions have a number of variable parameters with different properties, the method has corresponding interactive control means. The user can manipulate those parameters to get desirable periodic deformation effects. Experimental results show that the method is feasible and applicable to engineering and research fields such as sheet metal forming by stamping and CAD.
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| 关 键 词： | 参数曲面 Rib 图形表示法 机械设计 矩阵 CAD 金属片 |
PERIODIC DEFORMATION OF PARAMETRIC SURFACE |
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| Wang Xiaoping
Zhou Rurong
Research Center of
CAD/CAM Engineering,Nanjing University of Aeronautics
and Astronautics,Nanjing ,China
Ye Zhengiin.PERIODIC DEFORMATION OF PARAMETRIC SURFACE[J].Chinese Journal of Mechanical Engineering,2004,17(3):394-398. |
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| Authors: | WangXiaoping ZhouRurong YeZhenglin ZhangLiyan |
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| Abstract: | Deformation is a powerful tool for geometric modeling and design. Such a tool can be used to create a new shape from existing shape without restarting whole design process. A new mathematical model for producing controllable periodic deformations is proposed. By introducing cosine extension functions construct a shape operator matrix and then use the matrix to transform the position vector of some points on the object surface so as to create the deformation effects. Because the cosine extension (Unctions have a number of variable parameters with different properties, the method has corresponding interactive control means. The user can manipulate those parameters to get desirable periodic deformation effects. Experimental results show that the method is feasible and applicable to engineering and research fields such as sheet metal forming by stamping and CAD. |
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| Keywords: | Parametric surface Deformation Cosine extension function Rib |
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