Details

Autor(en) / Beteiligte

• Sarrouy, E.
• Grolet, A.
• Thouverez, F.

Titel

Global and bifurcation analysis of a structure with cyclic symmetry

Ist Teil von

• International journal of non-linear mechanics, 2011-06, Vol.46 (5), p.727-737

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals Complete

Beschreibungen/Notizen

• This article combines the application of a global analysis approach and the more classical continuation, bifurcation and stability analysis approach of a cyclic symmetric system. A solid disc with four blades, linearly coupled, but with an intrinsic non-linear cubic stiffness is at stake. Dynamic equations are turned into a set of non-linear algebraic equations using the harmonic balance method. Then periodic solutions are sought using a recursive application of a global analysis method for various pulsation values. This exhibits disconnected branches in both the free undamped case (non-linear normal modes, NNMs) and in a forced case which shows the link between NNMs and forced response. For each case, a full bifurcation diagram is provided and commented using tools devoted to continuation, bifurcation and stability analysis.