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http://dx.doi.org/10.7858/eamj.2021.012

MATHEMATICAL MODELLING FOR THE AXIALLY MOVING MEMBRANE WITH INTERNAL TIME DELAY  

Kim, Daewook (Department of Mathematics and Education, Seowon University)
Publication Information
East Asian mathematical journal / v.37, no.1, 2021 , pp. 141-147 More about this Journal
Abstract
In [1], we studied the PDE system with time-varing delay. Time delay occurs due to loosening in a high-speed moving axially directed membrane (string, belt, or plate) at production. Our purpose in this work derives a mathematical model with internal time delay. First, we consider the physical phenomenon of axially moving membrane with respect to kinetic energy, potential energy and work done. By the energy conservation law in physics, we get the second order nonlinear PDE system with internal time delay.
Keywords
longitudinal (axial-directed) moving membrane; Kinetic energy (K); Potential energy (P); Work Done (WD);
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