激光切割表面形貌的分形插值模拟分析  

Fractal Interpolation Simulation Analysis of Laser Cutting Surface Topography

作　　者：赵林[1] 耿雷[1] 齐立涛[1] 

机构地区：[1]黑龙江科技大学机械工程学院,黑龙江哈尔滨150022

出　　处：《机械设计与制造》2014年第7期123-126,共4页Machinery Design & Manufacture

基　　金：国家自然科学基金(51205113);黑龙江省教育厅科学技术研究项目(11551429)

摘　　要：以实测激光切割表面轮廓高度数据为基础,获取不同采样间距的插值基础数据,应用三维表面分型插值算法,对激光切割表面形貌进行分形插值模拟,分析垂直比例因子和采样间距对模拟精度的影响。结果表明:模拟表面形貌与实测轮廓相似程度随着垂直比例因子hi,j的减小而提高,当hi,j小于某一特定值时,表面形貌特征无明显变化;随着采样间距Lc的减小,分形插值表面所包含的微观形貌信息越来越多,逐渐接近真实的激光切割表面形貌,且相对于实测表面的D和Ra值波动均不大,说明分形插值表面具有很高的模拟精度。因此,利用分形插值模拟表面可以对激光切割表面进行有效的切割质量评价和形貌特征分析。Based on contour data of laser cutting surface by actual measurement, it adopts interpolation data of different sampling interval, and applies fractal interpolation algorithm of three dimensional surfaces to simulate the surface topography of laser cutting, and analyzes the impacts of vertical scale factor and sampling interval on simulation accuracy. The result shows the level of similtwity between simulated surface topography and measured profile improves with the decreasing of the vertical scalingfitetor hi,j, and the characteristic of surface topography has no obvious change when hi,j is tess than a certain value. The fractal interpolation surface contains more and more information of microstructure, gradually being close to the real laser cutting surface topography. The D and Ra＇s value of the fractal interpolation surface don＇t fluctuate compared with the measured surface, amt the result demorastrates that simulation surface has a highly simulation precision, the simulation surface of fractal interpolation can. efftciently evaluate quality of laser cutting surface and analyze topographic characteristics of of laser cutting surface.

关 键 词：分形插值 激光切割 迭代函数 表面形貌 垂直比例因子 

分 类 号：TH16[机械工程—机械制造及自动化]