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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。
Due to the good nature of the Cantor set, the rough surface can be well simulated and has been applied to the study of temperature field. However, the acquisition of parameters and the influence of asperities on the temperature field have not been publicly studied and applied. The Cantor set of rough surface parameters is estimated. When the sample is large enough, the model can converge to the actual parameters with arbitrary accuracy. Taking into account the different combinations of asperities when the arrangement is not unique, taking the C / C material of the aircraft brake as an example, the calculation and simulation analysis of the C / C materials are carried out. Then the influence of the arrangement of Cantor sets on the temperature field can be seen from the simulation results. It should be dealt with according to the actual project, laying a foundation for further study on the distribution of various temperature fields and the thermal physical effects of various rough surfaces.