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Accuracy of the Riccati Transfer Matrix Method in Rotor Dynamic Analysis FREE

[+] Author Affiliations
M. Behzad, B. Mehri

Sharif University of Technology, Tehran, Iran

Paper No. 98-GT-513, pp. V005T14A045; 8 pages
doi:10.1115/98-GT-513
From:
  • ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition
  • Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education
  • Stockholm, Sweden, June 2–5, 1998
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7866-8
  • Copyright © 1998 by ASME

abstract

This paper illustrates the theory behind the development of a General form of a numerically accurate and stable software for determining the lateral natural frequencies, mode shapes, stability and unbalance response of multi-shaft rotor bearing systems which may be gear coupled and supported on flexible anisotropic bearings, such as hydrodynamic bearings as well as rigid rolling elements. Gyroscopic effects, shear deformation and hysteretic damping are included in the analysis. To achieve the improved accuracy and numerical convergence to all relevant roots of the characteristic equations the Riccati transfer matrix is utilized rather than the traditional transfer matrix approach. This more accurate approach introduces poles into the characteristic equation. After cancellation of all poles, convergence to all relevant roots is guaranteed. In this study two different methods of handling in-span conditions are presented and it is proven that after elimination of poles the Riccati transfer matrix method and the transfer matrix method have the same characteristic equation. However with even 25% increase in average computation time, the Riccati transfer matrix method remains more accurate due to a different method of calculating the characteristic equation.

Copyright © 1998 by ASME
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