Compensación Automática de Fuerzas Dinámicas en Sistema Rotatorios
Automatic Compensation of Dynamical Forces in Rotating Systems
Graduado: Marco Antonio Meraz Melo
Centro de Ingeniería y Desarrollo Industrial. Playa Pie de la Cuesta 702 Col Desarrollo San Pablo, C. P. 76130. Queretaro, Qro.
ameraz69@hotmail.com
Director de Tesis: Tadeusz Majewski Szymiec ]]>
Universidad de las Americas Puebla. Santa Catarina Mártir, Cholula, Puebla. C. P. 72820, México.
tadeusz.majewski@udlap.mx
Co–director de Tesis: Germán Ardul Muñoz Hernández.
Instituto Tecnológico de Puebla. Av. Tecnológico 420. Col. Maravillas, C. P. 72220. Puebla, Pue.
gmuñoz64@hotmail.com
Graduado en Noviembre 28, 2008.
Resumen
El enfoque inicial de este estudio es el desarrollo de representaciones de parámetros conectados en rotores flexibles y sus sistemas de auto–balance acoplados. Su objetivo es derivar un conjunto de ecuaciones independientes para cada sección de estudio dentro del eje del rotor y posteriormente aplicar el método de Rigidez para ensamblar una matriz generalizada del comportamiento global del eje y sus masas. En este desarrollo se han encontrado los coeficientes asociados, es decir; el efecto que provocan los tramos en sí mismos y en sus conexiones. Se han analizado las bolas o esferas dinámicamente por medio de Lagrange para definir de la mejor manera los sistemas de ecuaciones diferenciales. Se realizó un prototipo experimental emulando las condiciones teóricas y simuladas en Software, obteniendo resultados muy similares a los encontrados matemáticamente. Se encontraron los valores de frecuencia y masas asociadas donde el método se vuelve efectivo.
]]> Palabras clave: Sistema de Autobalance, Lagrange.
Abstract
The main objective of this thesis is the development of parameter representations which are interconnected in flexible rotor and autobalance systems coupled. This goal consists in achieving independent set of differential equations for each section of the shaft and applying stiffness method to obtain a global matrix. These models have been used to analyze elastic and inertial properties of rotors. After we obtain a global matrix, we can establish a set of differential equations, which may be simulated by software and analyzed stability and dynamical behavior of our complete system. Inertial associated coefficients have been founded in this model, by the way; effects by each section and connections have been gotten. Dynamical behavior of balls and rotor has been analyzed by Lagrange method to get a differential equations system. In the case of a single rotor and a single drum (with balls) in different plane, an experimental model was developed; theoretical (software) and experimental results were similar, and this showed the efficiency of the balancing method. There are several conditions of mass, stiffness and frequency which system works, these characteristics were founded.
Keywords: Autobalance system, Lagrange.
DESCARGAR ARTÍCULO EN FORMATO PDF
Referencias
1. Adolfsson, J. (1997). A study of Stability in Autobalancing Systems using multiple Correction Masses (Technical Report 1997:3). Stockholm, Sweden: Royal Institute of Technology, Department of Mechanics. [ Links ]
2. Balachandran, B. & Magrab, E. B. (2006). Vibraciones. México: Thomson. [ Links ]
3. Chung, J. & Ro, D. S. (1999). Dynamic analysis of an automatic dynamic balancer for rotating mechanisms. Journal of Sound and Vibration, 228(5), 1035–1056. [ Links ]
4. Chung, J. & Jang, I. (2003). Dynamic response and stability analysis of an automatic ball balancer for a flexible rotor. Journal of Sound and Vibration, 259, 31–43. [ Links ]
5. Crandall, S. H., Karnopp, D.C., Kurtz, E. F. & Pridmore–Brown, D. C. (1982). Dynamics of Mechanical and Electromechanical Systems (2a. ed.). Malabar, Fla. Krieger. [ Links ]
6. Gawlak, G. & Majewski, T. (1991). Dynamic of device for automatic balancing of the rotors systems, Archive of Mechanical Engineering, 38(3), 185–199. [ Links ]
7. Hwang, C. H. & Chung, J. (1999). Dynamic analysis of an automatic ball balancer with double races. JSME International Journal, 42, 265–272. [ Links ]
8. Majewski, T. (1987). Synchronous vibration eliminator for an object having one degree of freedom, Journal of sound and vibration, 112, 401–413. [ Links ]
9. Majewski, T. (1988). Position error occurrence in self balancers used in rigid rotors of rotating machinery, Mechanism and machine theory, 23(1), 71–78. [ Links ]
10. Majewski, T. (1994). Synchronous elimination of vibration in the plane (Mechanics. 155). Warsaw: Warsaw University of Technology. [ Links ]
11. Majewski, T. & Domagalski, R. (1997). Selection of system parameters for achieving appropriate balance class, Conference on Mechatronics 1997, Warsaw, Poland, 523–528. [ Links ]
12. Majewski, T. & Switek, W. (1999). Optimization of the System for Automatic Compensating of Dynamical Forces. In C. A. Brebbia & S. Hernandez (Eds.), Computer Aided Design of Structures (375–384). Southampton: WitPress. [ Links ]
13. Majewski, T. (2000). Synchronous Elimination of Vibrations in the plane. Part 1: Analysis of Ocurrence of Synchronous Movements. Journal of Sound and Vibration, 232(2), 555–572. [ Links ]
14. Majewski, T. (2000b). Synchronous elimination of vibration in the plane. Part 2: Method efficiency and its stability. Journal of Sound and vibration, 232(3), 571–584. [ Links ]
15. Majewski, T & Meraz, M–A (2006). Sistema de Autobalance en dos Planos para Rotores Flexibles. Congreso Internacional de Ingeniería Mecánica, SOMIM 2006, Acapulco, Mexico, 7–13. [ Links ]
16. Majewski, T., Domagalski, R. & Meraz Meló, M. (2006). Dynamic Compensation of Dynamical Forces in two Planes for the Rigid Rotor. Journal of Theoretical and Applied Mechanics, 45 (2), 685–701. [ Links ]
17. Meraz, M–A. & Majewski, T. (2004). Automatic Compensating of Dynamical Forces for Rotating Systems. WSEAS Transactions on Mathematics, 3(2), 437–442. [ Links ]
18. Meraz, M–A (2005). Automatic Compensating of Dynamical Forces for Rotating Mechanisms. Revista Facultad de Ingeniería, Chile, 13, 171–179. [ Links ]
19. Rajalingham, C. & Rakheja, S. (1998). Whirl suppression in hand–held power tool rotors using guided rolling balancers. Journal of Sound and Vibration, 217, 453–466. [ Links ] ]]>