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Math. Comput. Appl. 2017, 22(2), 33; doi:10.3390/mca22020033

Surface Roughness Modeling Using Q-Sequence

Kitami Institute of Technology, 165 Koen-cho, Kitami, Hokkaido 090-8507, Japan
Academic Editor: Fazal M. Mahomed
Received: 29 March 2017 / Revised: 1 May 2017 / Accepted: 2 May 2017 / Published: 6 May 2017
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Abstract

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(nQ(n − 1)) + Q(nQ(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. View Full-Text
Keywords: dynamical systems; integer sequence; chaos; surface roughness; modeling dynamical systems; integer sequence; chaos; surface roughness; modeling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ullah, A.S. Surface Roughness Modeling Using Q-Sequence. Math. Comput. Appl. 2017, 22, 33.

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