An Integrated Balancing Method for Asymmetric Rotor-Bearing Systems: Algebraic Identification, Modal Balancing, and Active Balancing Disks

A Simplified Model for the On-Line Identification of Bearing Direct-Dynamic Parameters Based on Algebraic Identification (AI)

“…It is important to highlight that the proposed identifier only uses the lateral displacements of a single node to identify the coefficients; in this case, it was node 11. This is a great advantage since other identifiers based on a more complex model need the entire displacement vector, i.e., the lateral vibration and the slope nodes of the node which you want to identify and of two adjacent nodes [23,24]. This is complex to achieve in the experimental part: First, the nodal slopes cannot be measured directly; it is best to approximate them with the lateral displacements.…”

“…The complexity of the experimental measurements of the nodal slopes complicates the implementation of the method. Recently, Baltazar Tadeo L. et al [24] used the algebraic identification method to determine the magnitude and angular position of the unbalance in an asymmetric rotor-bearing system, taking as a basis for the algebraic identifier a mathematical model of an asymmetric rotor-bearing system of multiple degrees of freedom using active balancing disks. They tested the proposed identifier numerically and experimentally, demonstrating that it is possible to reduce the vibration amplitudes under resonance conditions of an asymmetric rotor by more than 95%.Therefore, Nango [25], Beltrán Carvajal et al [26], Arias et al [27], and Mendoza Larios G. et al [28] proposed identifiers by using algebraic identification for the estimation of the parameters in rotor dynamic systems; both numerical and experimental results showed that the identification is quickly achieved and exhibits high robustness with regard to the parametric uncertainty.…”