Shape Optimisation for Friction Dampers with Stress Constraint

E. Denimal, R. Chevalier, L. Renson, L. Salles

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


Friction dampers are classically used in turbomachinery for bladed discs to control the levels of vibrations at resonance and limit the risk of fatigue failure. It consists of small metal components located under the platforms of the blades, which dissipate the vibratory energy through friction when a relative displacement between the blades and the damper appears. It is well known that the shape of such component has a strong influence on the damping properties and should be designed with a particular attention. With the arrival of additive manufacturing, new dedicated shapes for these dampers can be considered, determined with specific numerical methods as topological optimisation (TO). However, the presence of the contact nonlinearity challenges the use of traditional TO methods to minimise the vibration levels at resonance. In this work, the topology of the damper is parametrised with the moving morphable components (MMC) framework and optimised based on meta-modelling techniques: here kriging coupled with the efficient global optimisation (EGO) algorithm. The level of vibration at resonance is computed based on the harmonic balance method augmented with a constraint to aim directly for the resonant solution. It corresponds to the objective function to be minimised. Additionally, a mechanical constraint based on static stress analysis is also considered to propose reliable damper designs. Results demonstrate the efficiency of the method and show that damper geometries that meet the engineers’ requirements can be identified.

Original languageEnglish
Title of host publicationNonlinear Structures and Systems, Volume 1 - Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
EditorsMatthew R.W. Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso
Number of pages9
ISBN (Print)9783031040856
Publication statusPublished - 2023
Event40th IMAC, A Conference and Exposition on Structural Dynamics, 2022 - Orlando, United States
Duration: 7 Feb 202210 Feb 2022

Publication series

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


Conference40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
Country/TerritoryUnited States


  • Friction damping
  • Kriging
  • Nonlinear vibrations
  • Resonance mitigation
  • Topological optimisation


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