East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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MATHEMATICAL MODELLING FOR THE AXIALLY MOVING MEMBRANE WITH INTERNAL TIME DELAY

  • Kim, Daewook (Department of Mathematics and Education, Seowon University)
  • Received : 2010.11.16
  • Accepted : 2021.01.25
  • Published : 2021.01.31
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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.

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References

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