Abstract：To predict the surface roughness in machining process, the nonlinear correlation between common monitoring parameters of cutting force and surface roughness should be quantitatively described. The sample values of cutting force and the surface roughness were obtained by turning 7075 high strength aluminum alloy by control variable method. The marginal distribution functions were established, and the multivariate joint distribution function was constructed by the optimized Copula function. Based on the Copula function theory and the joint function model, the global, local and tail relationship between cutting force and surface roughness was analyzed. The results show that the cutting force has obviously positive correlation with surface roughness. The correlation structure is centrosymmetric, and the correlation degrees at the both ends are larger than that at the center. The tail correlation coefficient tends to zero, which illuminates that the tail correlation degree is small.
裴宏杰, 李公安, 付坤鹏, 陈少峰, 王贵成. 基于Copula函数的切削力与表面粗糙度的相关性[J]. 江苏大学学报（自然科学版）, 2018, 39(2): 174-178.
PEI Hong-Jie, LI Gong-An, FU Kun-Peng, CHEN Shao-Feng, WANG Gui-Cheng. Correlation between cutting force and surface roughness based on Copula function[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2018, 39(2): 174-178.
2018, Vol. 39 
