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基于外载荷的B样条曲面变形
Alternative TitleShape Modification of B-spline Surface Via External Loads
程仙国; 刘伟军; 卞宏友
Department现代装备研究室
Source Publication机械工程学报
ISSN0577-6686
2011
Volume47Issue:9Pages:146-150
Indexed ByEI ; CSCD
EI Accession number20112314043670
CSCD IDCSCD:4289329
Contribution Rank1
Funding Organization中国科学院沈阳自动化研究所创新工程资助项目(09F6010601)
Keywordb 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 AbstractFor 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]
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/7512
Collection智能产线与系统研究室
Corresponding Author程仙国
Affiliation1.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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