118
Views
0
CrossRef citations to date
0
Altmetric
IFToMM Sixth International Conference on Rotor Dynamics, Sydney, 2002

Practical applications of singular value decomposition in rotordynamics

, , , &
Pages 21-32 | Published online: 22 Sep 2015

References

  • Maia NMM. Fundamentals of singular value decomposition. Proceedings of the Ninth International Modal Analysis Conference 1991; 2: 1515–1521.
  • Sylvester. Messenger of mathematics 1889; 19: 42.
  • Eckart C, Young G. A principal axis transformation for non-Hermitian matrices. Bulletin of the American Mathematical Society 1939; 45: 118–121.
  • Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical recipes in Fortran: The art of scientific computing. New York, NY: Cambridge University Press, 1992.
  • Skogestad S, Postlethwaite I. Multivariable feedback control analysis and design. Chichester, UK: John Wiley & Sons, 1996.
  • Kapitsa PL. Stability and transition through the critical speed of fast rotating shafts with friction. Journal of Theoretical Physics 1939; 9(2).
  • Little RM. The application of linear programming techniques to balancing flexible rotors. Ph.D. Dissertation. School of Engineering & Applied Science, University of Virginia, 1971.
  • Foiles WF, Allaire PE, Gunter EJ. Advanced techniques for balancing and forced response of rotor bearing systems. ROMAC Laboratories Annual Meeting, Charlottesville, Virginia, 1999.
  • Moore BC. Principal components analysis in linear systems: controllability, observability and model reduction. IEEE Transactions on Automatic Control 1981; AC-26: 17–31.
  • Glover K. All optimal Hankel-norm approximations of linear multivariable system and their L∞ error bounds. International Journal of Control 1984; 39: 1115–1193.
  • Richardson MH, Formenti DL. Global curve fitting of frequency response measurements using the rational fraction polynomial method. Proceedings of the Third International Modal Analysis Conference, Orlando, 1985: 390–397.
  • API 617. Axial and centrifugal compressors and turboexpanders for petroleum, chemical and gas industry services, 7th Edition. Washington D.C.: American Petroleum Institute, 2002.
  • Bently DE, Muszynska A. Stability evaluation of rotor/bearing system by perturbation tests. NASA CP-2250 1982: 307–322.
  • Baumann U. Rotordynamic stability tests on high-pressure radial compressors. Proceedings of the Twenty-Eighth Turbomachinery Symposium, Texas A&M University, 1999: 115122.
  • Keogh PS, Morton PG. The dynamic nature of rotor thermal bending due to unsteady lubricant shearing within a bearing. Proceedings of the Royal Society, London 1994; 445(1924): 273290.
  • Sortore CK. Observer based critical response estimation in rotating machinery. Ph.D. Dissertation. School of Engineering & Applied Science, University of Virginia, 1999.
  • Zames G. On the input-output stability of time-varying nonlinear feedback systems-part I: Conditions derived using concepts of loop gain, conicity, and positivity. IEEE Transactions on Automatic Control 1966; AC-11: 228–238.
  • Bode HW. Relations between attenuation and phase in amplifier design. Bell System Technical Journal 1940; 19: 421–454.
  • Doyle JC. Analysis of feedback systems with structured uncertainties. IEEE Proceedings 1982; 129(6): 242–250.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.