Revista UIS Ingenierías

Vol. 9 No. 1 (2010): Revista UIS Ingenierías
Articles

Analytical model for the testing of flexible rotors

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  • Heller G. Sánchez A.
Heller G. Sánchez A.
Universidad Industrial de Santander
Bio

Published 2010-05-26

Keywords

  • Flexible rotors,
  • dynamic of rotor,
  • component synthesis,
  • torsional flexibility

How to Cite

Sánchez A., H. G. (2010). Analytical model for the testing of flexible rotors. Revista UIS Ingenierías, 9(1), 69–76. Retrieved from https://revistas.uis.edu.co/index.php/revistauisingenierias/article/view/1057
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Abstract

This job shows a mathematical formulation in order to study the torsional behavior in a fexible rotor. The model starts calculating kinetic energy, potential energy and the Rayleigh dissipation function. From both, energy expressions and by means of the Finite Element Method, get the fnite element of a single disk. Integrating it, we can get the expression to the rotor element. Using the Lagrange Equations is possible deduce the equations system of movement in order to study the rotors dynamic including torsional behavior.The mathematical model has into account the main components of the system: First, the support structure whit its bearings, and secondly the rotative part. Both of them are modeled using different analytical technics, so it uses the component synthesis in order to introduce the behavior of the support structure where the rotor is grounded. The developed mathematical model calculates both, the model parameters stationary response and resolves the transitory state. 

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