粗糙表面Cantor集分形对温度场影响分析  

Study on temperature field of rough surface with Cantor set

作　　者：薛晶[1] 李玉忍[1] 刘卫国[1] 

机构地区：[1]西北工业大学自动化学院,西安710072

出　　处：《计算机工程与应用》2011年第9期240-242,248,共4页Computer Engineering and Applications

摘　　要：由于Cantor集性质较好,能够很好地模拟粗糙表面,已应用到温度场研究中,但其参数的取得以及微凸体排列对温度场的影响尚未有公开的研究和应用。进行Cantor集粗糙表面参数估计,在样本足够大时,模型可以以任意精度收敛于实际参数。考虑排列不唯一时微凸体之间不同的组合,以飞机刹车副C/C材料为例对其进行计算和仿真分析而后推广,从仿真结果可以看出Cantor集的排列对温度场的影响,应该按照工程实际进行处理,为深入研究各种温度场分布以及各种粗糙表面的热物理效应打下基础。It is very well that rough surface is fitted by Cantor set whose performance is high,but the change of temperature field caused by the parameters and distribution of the Cantor set asperities is unknown.This paper estimates the parameter of Cantor set with maximum likelihood estimation and moment method.When the number of sample is large enough,the parameters will converge to the actual parameters accurately.The simulation is performed in ANSYS under different conditions in the full paper.The simulation results show that preliminarily the difference of temperature field of rough surface caused by asperities distribution can be negligible.It is a theoretical basis for engineering application.

关 键 词：参数估计 粗糙集理论 计算机仿真 温度 康托尔集 

分 类 号：V226[航空宇航科学与技术—飞行器设计]