Automatic Balancing of a Rotor-Bearing System: On-line Algebraic Identifier for a Rotordynamic Balancing System

[ES] En este artículo, se presenta una metodología para balancear varios modos de vibración a la vez de un sistema rotor-cojinete mediante lo que se denomina discos de balanceo activo. Para determinar la magnitud del desbalance y su posición angular en el rotor, se propone un identificador en línea basado en la técnica de identificación algebraica. Para lo anterior, se desarrolló un modelo matemático en elemento finito para un sistema rotatorio de múltiples grados de libertad, donde se consideró un elemento viga con cuatro grados de libertad por nodo, en este modelo se consideran los efectos de inercia rotatoria, momentos giroscópicos, deformaciones por cortante y amortiguamiento interno y externo, así como la implementación al sistema rotor-cojinete de los discos de balanceo activo. Asimismo, se evaluó y analizó el comportamiento en el tiempo del identificador propuesto para una distribución de masas de desbalance en diferentes puntos a lo largo del rotor, tomando como dato de entrada la respuesta de vibración obtenida de la simulación de un sistema rotodinámico de múltiples grados de libertad, con diferentes rampas de excitación de tipo lineal. De los resultados obtenidos se demuestra, que con dos discos de balanceo activo se puede balancear hasta cuatro modos de vibración al mismo tiempo.[EN] A methodology for simultaneously balancing of several modes of vibration for a rotor bearing system by mean the so-called active balancing disk is presented in this paper. In order to determine the magnitude of the unbalance and its angular position on the rotor, it is proposed an on-line identifier based on algebraic identification. A mathematical model was developed for a multiple degrees-of-freedom rotational system for a beam-type finite element with 4 degrees of freedom per node. This model considers the effect of rotating inertia, gyroscope moments, shearing strains, internal-external damping and the presence of active balancing disks. Likewise, the time scale behavior of the proposed algebraic identifier was assessed and analyzed for an unbalanced mass distribution on different locations along the rotor. For this test, the vibration response was obtained from a multiple degrees-of-freedom rotor dynamic system simulation, with several linear coasting up and down. The results show that it is possible to simultaneously balance up to four vibration modes using two active balancing disks.Agradecemos a la DGEST por el apoyo recibido mediante el financiamiento al proyecto titulado “Diseño y Construcción de un Disco Balanceador Activo para Maquinaria Rotatoria” con clave 5294.14-P.Mendoza Larios, J.; Colín Ocampo, J.; Blanco Ortega, A.; Abúndez Pliego, A.; Gutiérrez Wing, E. (2016). Balanceo Automático de un Sistema Rotor-Cojinete: Identificador Algebraico en Línea del Desbalance Para un Sistema Rotodinámico. Revista Iberoamericana de Automática e Informática industrial. 13(3):281-292. https://doi.org/10.1016/j.riai.2016.03.004OJS281292133Arredondo, J.; Jugo, J.; Alonso-Quesada, S.; Lizárraga, I. y Etxebarria, V. (2008). Modelización, análisis y control de sistemas de cojinetes magnéticos activos. Revista Iberoamericana de Automática e Informática Industrial. Vol. 5, No. 4, (Octubre 2008), pp. 17-27, ISSN: 1697-7912. 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IDETC/CIE -28219 AN ENERGY BASED METHOD FOR WEAR ANALYSIS OF A CrCoMo-UHMWPE AND DLC-UHMWPE COUPLES FOR HIP PROSTHESIS

ABSTRACT In this work, a model to evaluate the abrasive wear between two semi-cylindrical entities is presented. The entities represent the average roughness radius, of the contact surfaces formed between the femoral head and acetabular cup of a hip prosthesis. The contact couples employed in this work are CrCoMo-UHMWPE and DLC-UHMWPE. Here three different interference distances were employed: 1, 2.5 and 40 percent of the mean radius roughness of the UHMWPE. The energy method proposed here determines the maximum contact stresses, from where the maximum point of distortional energy is obtained. This is then linked to the geometry of the cylindrical entity, which then gives the initial failure point. Subsequent similar calculations provide with the trajectory of the wearing path. The percentage of the abrasive wear obtained from this method was compared to Archard´s method. It was noted that the percentage of Archard's wear is a ten in million part from the total volume, while that the percentage of Energy's wear is between 2.760% and 7.055%, when an interference distance S=0.5 µm, was employed. It was also found that the CrCoMo-UHMWPE couple exhibited 22.84 % of volume lost compared with the 2.95 % of the DLC-UHMWPE couple