Bifurcation analysis of a spacecraft structure using the harmonic balance method

T. Detroux*, L. Renson, L. Masset, J. P. Nöel, G. Kerschen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)


The harmonic balance (HB) method has been widely used in the past few years, as a numerical tool for the study of nonlinear models. However, in its classical formulation the HB method is limited to the approximation of periodic solutions. The present paper proposes to extend the method to the detection and tracking of bifurcations in the codimension-2 system parameters space. To validate the methodology, the forced response of a real spacecraft is examined. The paper first provides some numerical evidence of the presence of quasiperiodic oscillations and isolated solutions. It then demonstrates how the tracking of Neimark-Sacker and fold bifurcations can help get a deeper understanding of these attractors.

Original languageEnglish
Title of host publication27th Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Publication statusPublished - 2015
EventConference on Mechanical Vibration and Noise - Boston, United States
Duration: 2 Aug 20155 Aug 2015
Conference number: 27th


ConferenceConference on Mechanical Vibration and Noise
Abbreviated titleVIB
Country/TerritoryUnited States


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