Journal of Theoretical
and Applied Mechanics
56, 2, pp. 549-566, Warsaw 2018
DOI: 10.15632/jtam-pl.56.2.549
and Applied Mechanics
56, 2, pp. 549-566, Warsaw 2018
DOI: 10.15632/jtam-pl.56.2.549
Vibration of a mistuned three-bladed rotor under regular and chaotic excitations
This study considers forced vibrations of a rotating structure consisting of a rigid hub and
three flexible beams. The blades are nominally made of a multilayered laminate with a specific
stacking sequence resulting in full isotropic macroscopic material behaviour. However, in
the performed analysis it is assumed that the rotor has been mistuned because of manufacturing
tolerances of the composite material. These inaccuracies are represented by deviations
of reinforcing fibres orientations from their nominal values. The considered tolerances break
the intended macroscopic material isotropy and make the laminate to exhibit the fully orthotropic
behaviour. Based on previous authors research, the system of four mutually coupled
dimensionless ordinary differential governing equations is adopted. Forced responses of the
system under regular and chaotic excitations are investigated.
three flexible beams. The blades are nominally made of a multilayered laminate with a specific
stacking sequence resulting in full isotropic macroscopic material behaviour. However, in
the performed analysis it is assumed that the rotor has been mistuned because of manufacturing
tolerances of the composite material. These inaccuracies are represented by deviations
of reinforcing fibres orientations from their nominal values. The considered tolerances break
the intended macroscopic material isotropy and make the laminate to exhibit the fully orthotropic
behaviour. Based on previous authors research, the system of four mutually coupled
dimensionless ordinary differential governing equations is adopted. Forced responses of the
system under regular and chaotic excitations are investigated.
Keywords: rotating beam, multi-bladed rotor, rotor mistuning, chaotic oscillations