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基于高斯曲率的曲面质量评价方法研究
引用本文:武振锋,袁玄成,朱黎,李建林.基于高斯曲率的曲面质量评价方法研究[J].辽宁大学学报(自然科学版),2012,39(3):273-276.
作者姓名:武振锋  袁玄成  朱黎  李建林
作者单位:1. 兰州交通大学机电工程学院,甘肃兰州,730070
2. 南车集团戚墅堰机车车辆工艺研究所有限公司,江苏常州,213011
基金项目:兰州交通大学青年科学研究基金(2011018)
摘    要:对于复杂型面的曲面钣金零件,对其进行曲面质量分析是曲面模型创建完毕后必不可少的工作内容.目前曲面质量分析常用的多截面曲率梳、等照度线和反射线方法已经比较成熟,但采用高斯曲率的曲面质量分析方法还有很多工作要做.针对曲面高斯曲率的含义与表现特征,重点探讨了曲面分别在G0、G1和G2连续情况下的高斯曲率色标分布特点.研究表明,应用高斯曲率方法可以快速完成曲面质量的评价,也可为后续的零件模具加工制造提供可靠的理论依据.

关 键 词:主曲率  高斯曲率  质量评价  A级曲面  CATIA

Research on Surface Quality Evaluating Based on Gaussian Curvature
WU Zhen-feng , YUAN Xuan-cheng , ZHU Li , LI Jian-lin.Research on Surface Quality Evaluating Based on Gaussian Curvature[J].Journal of Liaoning University(Natural Sciences Edition),2012,39(3):273-276.
Authors:WU Zhen-feng  YUAN Xuan-cheng  ZHU Li  LI Jian-lin
Institution:1.School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China; 2.CSR Qishuyan Institute Co.,Ltd,Changzhou 213011,China)
Abstract:For complex surface sheet parts,to analysis its surface quality is a essential work after the model created.The surface quality evaluating methods,such as multi-section curvature comb,isophotes mapping and reflection lines have been perfect,but the method of Gaussian curvature is no more maturity.In view of the meaning and expressional characteristics of surface Gaussian curvature,the distributional features of color patch for Gaussian curvature in case of G0,G1 and G2 continuity state have been discussed.The result verified that the method of Gaussian curvature can be applied to complete the evaluation of surface quality,and it will also provide reliable theoretical evidence for the subsequent mould manufacturing of surface parts.
Keywords:principal curvature  gaussian curvature  quality evaluation  class a surface  CATIA
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