Surface Roughness Modeling Using Q-Sequence

Mathematical and Computational Applications

Ullah, A.M.M. Sharif¹ 

关键词: dynamical systems;    integer sequence;    chaos;    surface roughness;    modeling;   

DOI  :  10.3390/mca22020033

学科分类：计算数学

来源: mdpi

【 摘 要 】

Dynamical systems play a vital role in studying highly non-linear phenomena. One of the families of the dynamical systems is integer sequences. There is an integer sequence called Q-sequence: Q(n) = Q(n − Q(n − 1)) + Q(n − Q(n − 2)); for n = 3, 4, …; and Q(1) = Q(2) = 1. It exhibits a unique chaotic-order that might help develop approximate models of highly nonlinear phenomena. We explore this possibility and show how to modify a segment of the Q-sequence so that the modified segment becomes an approximate model of surface roughness (a highly non-linear phenomena that results from the material removal processes (e.g., turning, milling, grinding, and so on). The Q-sequence-based models of surface roughness can be used to recreate the surface heights whenever necessary. As such, it is a helpful means for developing simulation systems for virtual manufacturing.

【 授权许可】

CC BY