A mathematical model of a rotor-bearing system and its validation and analysis of its dynamics, are presented. The bearings used in the study were of the cylindrical, pressurized type. Following the theory of the Reynolds equation and the Jeffcott rotor model, a fourth-order mathematical model was obtained, with its respective rotodynamic coefficients. The model obtained was implemented for control in open and closed loops. The results obtained showed that the threshold velocity of stability increased considerably and also the amplitude of the vibration decreased in non-linear form depending on the injection pressure applied to the lubricant. On the basis of the results obtained it is concluded that pressurized bearings could be highly reliable in industrial applications

Se presenta un modelo matemático, así como la validación y análisis del comportamiento de un sistema rotor-chumacera. Las chumaceras utilizadas fueron del tipo cilíndrico y presurizadas. A través de la teoría de la ecuación de Reynolds y del modelo de rotor Jeffcott se obtuvo un modelo matemático de cuarto orden con sus respectivos coeficientes rotadinámicos. El modelo encontrado se implementó para el control en lazo abierto y lazo cerrado. Los resultados obtenidos demostraron que la velocidad umbral de estabilidad aumenta considerablemente y además que la amplitud de la vibración disminuye en forma no lineal con respecto a la presión de inyección aplicada al lubricante. Con base en los resultados obtenidos se concluye que las chumaceras presurizadas pueden ser altamente confiables para su utilización en el ambiente industrial

The aim of this work is to compare several of the commercial dynamic models for batch distillation available worldwide. In this context, BATCHFRAC™, CHEMCAD™ BATCH, and HYSYS.Plant® software performances are compared to experimental data. The software can be used as soft sensors, playing the roll of ad-hoc observers or estimators for control objectives. Rigorous models were used as an alternative to predict the concentration profile and to specify the optimal switching time from products to slop cuts. The performance of a nonlinear model obtained using a novel identification algorithm was also studied. In addition, the strategy for continuous separation was revised with residue curve map analysis using Aspen SPLIT™.