2023-09-24T10:45:08Z
https://kitami-it.repo.nii.ac.jp/oai
oai:kitami-it.repo.nii.ac.jp:00008699
2022-12-13T02:21:20Z
1:87
Surface Roughness Modeling Using Q-Sequence
A.M.M. Sharif , Ullah
dynamical systems
integer sequence
chaos
surface roughness
modeling
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.
journal article
MDPI
2017-05-06
application/pdf
Mathematical and Computational Applications
2
22
33
Mathematical and Computational Applications
2297-8747
https://kitami-it.repo.nii.ac.jp/record/8699/files/Math. Comput. Appl. 2017, 22(2), 33.pdf
eng
https://doi.org/10.3390/mca22020033
open access