A Test-Case on Continuation Methods for Bladed-Disk Vibration with Contact and Friction

Z. Saeed, G. Jenovencio, S. Arul, J. Blahoš, A. Sudhakar, L. Pesaresi, J. Yuan, F. El Haddad, H. Hetzler, L. Salles

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)


Bladed-disks in turbo-machines experience harsh operating conditions and undergo high vibration amplitudes if not properly damped. Friction at the blade-to-blade or blade-to-disk interfaces plays a key role in dampening the high amplitudes. Due to the inherent complexity of these structures and non-linearities introduced by the friction joints, accurate response prediction becomes very difficult. There are variety of methods in the literature to predict non-linear vibration due to contact friction. However, their application to the bladed-disks remains limited. Furthermore, there are not many 3D realistic test-cases in the open literature for testing those methods and serve as a benchmark. A bladed-disk representative of a real turbine is presented as an open numerical test-case for the research community. It is characterized by a blade root joint and a shroud joint. The bladed-disk sector is meshed in different ways along with component mode synthesis (CMS) model order reduction for onward non-linear computations. The steady-state solution is obtained by multi-Harmonic Balance method and then continuation method is employed to predict the non-linear frequency response. Thus, it can serve as a case for testing previous and new methods as well as a benchmark for comparative studies.

Original languageEnglish
Title of host publicationNonlinear Structures and Systems, Volume 1 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019
EditorsGaetan Kerschen, M.R.W. Brake, Ludovic Renson
PublisherSpringer New York LLC
Number of pages4
ISBN (Print)9783030123901
Publication statusPublished - 2020
Externally publishedYes
Event37th IMAC, A Conference and Exposition on Structural Dynamics, 2019 - Orlando, United States
Duration: 28 Jan 201931 Jan 2019

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652


Conference37th IMAC, A Conference and Exposition on Structural Dynamics, 2019
Country/TerritoryUnited States


  • Bladed-disk
  • Continuation method
  • Cyclic symmetry
  • MHBM
  • Nonlinear forced response


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