Periodic Stability and Sensitivity Analysis of Rotating Machinery

Aykut Tamer, Pierangelo Masarati

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

9 Citations (SciVal)


This work presents the evaluation of periodic stability of rotating machinery and its sensitivity analysis. The stability criterion is based on the characteristic exponents or more generally the eigenvalues of the monodromy matrix of the periodic system following Floquet’s Theory. Parametric sensitivity of the stability is formulated to provide a methodology for robustness in rotating machinery analysis and design. The problem is formulated for a generic rotating dynamical system having periodic coefficients and demonstrated on a helicopter blade in forward flight and on a cracked rotating shaft.

Original languageEnglish
Title of host publicationProceedings of the 9th IFToMM International Conference on Rotor Dynamics
EditorsPaolo Pennacchi
PublisherKluwer Academic Publishers
Number of pages12
ISBN (Electronic)9783319065908
ISBN (Print)9783319065892
Publication statusPublished - 26 May 2015
Event9th IFToMM International Conference on Rotor Dynamics, 2014 - Milan, Italy
Duration: 22 Sept 201425 Sept 2014

Publication series

NameMechanisms and Machine Science
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992


Conference9th IFToMM International Conference on Rotor Dynamics, 2014

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2015.


  • Floquet theory
  • Periodic stability
  • Sensitivity analysis

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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