Identifying the shapes of coupled vibrations and deriving reduced order models for nonlinear shafts: a Finite Element-Proper Orthogonal Decomposition Approach
IT Georgiou, MA Bani-Khaled - ASME …, 2004 - asmedigitalcollection.asme.org
ASME International Mechanical Engineering Congress and …, 2004•asmedigitalcollection.asme.org
The spatial structure of the dynamics of a rotating nonlinear shaft is identified by processing
its finite element dynamics by the method of Proper Orthogonal Decompositions. The Proper
Orthogonal modes furnish characteristic signatures for the rigid body and the whirling modes
of a motion. The pattern of energy distribution over the components of a mode reveals the
strength of coupling between rigid body rotations and coupled vibrations. These modes are
used to derive a two-degree-of freedom reduced model for the whirling motion of the rotating …
its finite element dynamics by the method of Proper Orthogonal Decompositions. The Proper
Orthogonal modes furnish characteristic signatures for the rigid body and the whirling modes
of a motion. The pattern of energy distribution over the components of a mode reveals the
strength of coupling between rigid body rotations and coupled vibrations. These modes are
used to derive a two-degree-of freedom reduced model for the whirling motion of the rotating …
The spatial structure of the dynamics of a rotating nonlinear shaft is identified by processing its finite element dynamics by the method of Proper Orthogonal Decompositions. The Proper Orthogonal modes furnish characteristic signatures for the rigid body and the whirling modes of a motion. The pattern of energy distribution over the components of a mode reveals the strength of coupling between rigid body rotations and coupled vibrations. These modes are used to derive a two-degree-of freedom reduced model for the whirling motion of the rotating shaft.
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