基于外载荷的B样条曲面变形
Shape Modification of B-spline Surface Via External Loads
查看参考文献14篇
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文摘
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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。 |
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其他语种文摘
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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 method,the external loads applied on the patches are replaced with a bilinear interpolation of the forces applied at the fours ends.The internal energy functional equation of B-spline surface and the energy functional equation of the external loads are constructed respectively.The change of external load results in the change of internal energy of B-spline rariation,the variation of the surface control points after modification can be obtained by solving an optimization problem that minimizes the variation of internal energy of B-spline.In addition,a method of calculating the modified distance accurately is provided to improve the accuracy and efficiency of shape modification B-spline surface.Examples verify the effectiveness and practicability of the proposed shape modification for the surface. |
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来源
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机械工程学报
,2011,47(9):146-150 【核心库】
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DOI
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10.3901/jme.2011.09.146
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关键词
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B
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样条曲面
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形状修改
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能量优化
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地址
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中国科学院沈阳自动化研究所, 沈阳, 110016
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0577-6686 |
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学科
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自动化技术、计算机技术 |
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基金
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中国科学院沈阳自动化研究所创新工程资助项目
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文献收藏号
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CSCD:4289329
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