基于外载荷的B样条曲面变形 | |
Alternative Title | Shape Modification of B-spline Surface Via External Loads |
程仙国![]() ![]() | |
Department | 现代装备研究室 |
Source Publication | 机械工程学报
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ISSN | 0577-6686 |
2011 | |
Volume | 47Issue:9Pages:146-150 |
Indexed By | EI ; CSCD |
EI Accession number | 20112314043670 |
CSCD ID | CSCD:4289329 |
Contribution Rank | 1 |
Funding Organization | 中国科学院沈阳自动化研究所创新工程资助项目(09F6010601) |
Keyword | b 样条曲面 形状修改 能量优化 曲面变形 外载荷 控制顶点 变形方法 曲面片 有限单元法 |
Abstract | 针对B样条曲面变形过程中存在变形区域不能自由选择、变形距离不能精确计算和操作效率低等问题,运用能量优化的思想,提出一种B样条曲面变形的算法,用于B样条曲面的变形。给出B样条曲面按节点矢量划分成曲面片的方法,将曲面片类比为有限单元法中薄壁面单元,并将作用在B样条曲面片上的外载荷分解成曲面片四个端点力的双线性插值。分别建立B样条曲面内部能量方程和外载荷能量方程,外载荷的改变引起B样条曲面内部能量的变化,通过求解一个使B样条曲面内部能量变化量为最小的优化问题,得到变形后B样条曲面控制顶点的变化量。给出一种求解B样条曲面变形距离的计算方法,提高B样条曲面变形的精度和变形效率。最后的实例验证所提算法的有效性和实用性。 |
Other Abstract | For the shape modification of B-spline surface,it is difficult to select freely the deformable zone and calculate accurately the modified distance.Moreover,the modifying process is inefficient.Therefore,a method for shape modification of B-spline surface is proposed based on the idea of energy optimization.A method of segmenting B-spline surface into small surface patches by the knot vectors is given.By using an analogy between B-spline surface patches and the thin-plate elements of the finite element metho... |
Language | 中文 |
Citation statistics |
Cited Times:2[CSCD]
[CSCD Record]
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Document Type | 期刊论文 |
Identifier | http://ir.sia.cn/handle/173321/7512 |
Collection | 智能产线与系统研究室 |
Corresponding Author | 程仙国 |
Affiliation | 1.中国科学院沈阳自动化研究所 2.中国科学院研究生院 |
Recommended Citation GB/T 7714 | 程仙国,刘伟军,卞宏友. 基于外载荷的B样条曲面变形[J]. 机械工程学报,2011,47(9):146-150. |
APA | 程仙国,刘伟军,&卞宏友.(2011).基于外载荷的B样条曲面变形.机械工程学报,47(9),146-150. |
MLA | 程仙国,et al."基于外载荷的B样条曲面变形".机械工程学报 47.9(2011):146-150. |
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