The Description of a Distributed Parameter Process through a Finite Discrete Dimensional System
This article analyses the process of warming a metal by using a walking beam furnace. This process is meant to offer the technologist objective information that may allow him to produce eventual modifications of the temperature references from the furnaces zones. Thus making the metals temperature at the furnaces exit to have an imposed distribution, within precise limits, according to the technological requests. This industrial process has a geometrical parameters distribution, more precisely it can be described through a partial differential equation, by being attached to dynamic infinite dimensional systems (or with distributed parameters). Using a procedure called geometric-time discretization (in the condition of the solutions convergence), we have managed to obtain a representation under the form of a finite discrete dimensional linear system for a process with distributed parameters.
Laurentiu Slătineanu, Vasile Merticaru, Gheorghe Nagîţ, Margareta Coteaţă, Eugen Axinte, Petru Duşa, Gavril Muscă, Laurenţiu Ghenghea, Florin Negoescu, Octavian Lupescu, Irina Tiţa and Oana Dodun
S. Şerban and D. C. Şerban, "The Description of a Distributed Parameter Process through a Finite Discrete Dimensional System", Applied Mechanics and Materials, Vol. 657, pp. 874-878, 2014