河鲀背部形貌曲面拟合及数学建模  

Surface fitting and mathematical modeling ofpuffer fish back morphology

作　　者：周宏根[1,2] 崔杰 田桂中[1,2] 朱烨圣 贾长峰 ZHOU Hong-gen;CUI Jie;TIAN Gui-zhong;ZHU Ye-sheng;JIA Chang-feng(College of Mechanical Engineering,Jiangsu University of Science and Technology,Zhenjiang 212003,China;Jiangsu Provincial Key Laboratory of Advanced Manufacturing for Marine Mechanical Equipment,Jiangsu University of Science and Technology,Zhenjiang 212003,China)

机构地区：[1]江苏科技大学机械工程学院,江苏镇江212003 [2]江苏科技大学船海机械装备先进制造实验室,江苏镇江212003

出　　处：《吉林大学学报（工学版）》2020年第3期1131-1137,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金青年基金项目(51005108).

摘　　要：为研究洄游鱼类河鲀的减阻机理,构建了河鲀背部曲面的几何模型和数学模型及其转换关系。利用三维扫描和NURBS曲面建模技术,获得河鲀的整体几何模型。构造出河鲀背部纵向中间面的轮廓曲线及其曲率拐点,截取相应的横向轮廓线进行曲率半径拐点分析,依此将河鲀背部曲面划分成主区和侧区两部分。经曲面拟合、建模、合并和光顺等操作,获得精确的河鲀背部曲面的数学和几何模型,主、侧区曲面评估判定系数R2分别为0.985和0.843。结果表明:特征化分区显著提高了河鲀背部曲面的数学建模精度,且点云数据asc文件简化了曲面拟合流程。In order to research the drag reduction mechanism of puffer fish,the geometric model and mathematical model are introduced for the back surface of the puffer fish including their transform method.Using the technology of 3D scanning and NURBS surface modeling,the whole geometry model of puffer fish is presented.The contour curve of the longitudinal middle surface of the puffer fish back was constructed by curve fitting.According to curvature inflection point position of this curve,the transverse contour line is intercepted to analyze the inflection point of curvature radius.According to the inflection point of the transversal contour curvature radius,the puffer fish back surface is divided into two parts:the main area and the side area.Accurate mathematical and geometric models of the puffer fish back surface are obtained by surface fitting,modeling,merging and smoothing.The surface evaluation judgment coefficients R2 of the main area and the side area are 0.985 and 0.843 respectively.Results show that the characterized partition significantly improves the mathematical modeling accuracy of the puffer fish backsurface,and the asc file of point cloud data can simplify the process of surface fitting.

关 键 词：工程仿生学 仿生减阻 河鲀形貌 曲面拟合和建模 NURBS曲面 

分 类 号：TB17[生物学—生物工程]