Surface Roughness Modeling Using Q-Sequence
AbstractDynamical 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. View Full-Text
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Ullah, A.S. Surface Roughness Modeling Using Q-Sequence. Math. Comput. Appl. 2017, 22, 33.
Ullah AS. Surface Roughness Modeling Using Q-Sequence. Mathematical and Computational Applications. 2017; 22(2):33.Chicago/Turabian Style
Ullah, A.M.M. S. 2017. "Surface Roughness Modeling Using Q-Sequence." Math. Comput. Appl. 22, no. 2: 33.
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