| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000311998 |
| ISSN: | 0100-7386 |
| Authors: | Troyani, Nando1 Montano, Luis |
| Institutions: | 1Universidad de Oriente, Departamento de Mecánica, Cumaná, Sucre. Venezuela |
| Year: | 1999 |
| Season: | Dic |
| Volumen: | 21 |
| Number: | 4 |
| Pages: | 655-663 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Descriptivo |
| English abstract | A model for predicting temperature evolution for automatic controling systems in manufacturing processes requiring the coiling of bars in the transfer table is presented. Although the method is of a general nature, the presentation in this work refers to the manufacturing of steel plates in hot rolling mills. The predicting strategy is based on a mathematical model of the evolution of temperature in a coiling and uncoiling bar and is presented in the form of a parabolic partial differential equation for a shape changing domain. The mathematical model is solved numerically by a space discretization via geometrically adaptive finite elements which accomodate the change in shape of the domain, using a computationally novel treatment of the resulting thermal contact problem due to coiling. Time is discretized according to a Crank-Nicolson scheme. Since the actual physical process takes less time than the time required by the process controlling computer to solve the full mathematical model, a special predictive device was developed, in the form of a set of least squares polynomials, based on the off-line numerical solution of the mathematical model |
| Disciplines: | Física y astronomía, Matemáticas, Ingeniería |
| Keyword: | Termodinámica y física estadística, Matemáticas aplicadas, Ingeniería de control, Modelos matemáticos, Método de diferencias finitas, Temperatura |
| Keyword: | Physics and astronomy, Mathematics, Engineering, Thermodynamics and statistical physics, Applied mathematics, Control engineering, Mathematical models, Finite difference method, Temperature |
| Full text: | Texto completo (Ver HTML) |
