基于补充极值点和组合代理模型的零件表面建模  

Surface Modeling of Parts Based on Supplementary Extremum Points and Combined Surrogate Models

作　　者：李亚东 张泽鹏 陈旭栋 姜星辰 LI Yadong;ZHANG Zepeng;CHEN Xudong;JIANG Xingchen(School of Mechanical and Electrical Engineering,Xi'an Polytechnic University,Xi'an 710600,China)

机构地区：[1]西安工程大学机电工程学院,陕西西安710600

出　　处：《轻工机械》2025年第2期36-41,52,共7页Light Industry Machinery

基　　金：西安市科技计划项目(2023JH-GXRC-0008)。

摘　　要：针对目前零件表面模型无法满足精密零件表面建模的精度要求,课题组提出了一种基于补充极值点和组合代理模型的零件表面建模方法。首先,根据皮尔逊相关系数将零件表面分成多个较平滑的区域,在每个区域里设置少量初始点即可找到零件表面上的所有极值点,将这些极值点作为补充采集点有助于提升零件表面模型的精度;然后,提出了一种基于克里金模型和径向基函数的零件表面建模方法,通过计算模型的预测残差平方和来不断调整加权系数直至零件表面模型符合精度要求;最后,用3种模型对补充极值点前、后的各组数据进行拟合得到零件表面模型,对比各模型的均方根误差可知补充极值点和组合代理模型均可有效提高零件表面建模的精度。In response to that the current parts surface models could not meet the accuracy requirements of precision part surface modeling,a parts surface modeling method based on supplementary extremum points and combined surrogate models was proposed.Firstly,based on the Pearson correlation coefficient the surface of the part was divided into multiple smoother regions,and a small number of initial points were set in each region to find all the extreme points on the surface of the part.Using these extreme points as supplementary collection points could help to improve the accuracy of the parts surface model.Then,a surface modeling method for parts based on Kriging model and radial basis function was proposed.The weighting coefficients were continuously adjusted by calculating the sum of squared prediction residuals of the model until the surface model of the parts met the accuracy requirements.Finally,three models were used to fit the data of each group before and after supplementing the extremum points to obtain the parts surface model.Comparing the root mean square errors of each model,it can be concluded that both supplementing the extremum points and the combined surrogate model can effectively improve the accuracy of surface modeling of parts.

关 键 词：零件表面建模 补充极值点 组合代理模型 克里金模型 径向基函数模型 

分 类 号：TH161.7[机械工程—机械制造及自动化]