Nonlinear vibration analysis of rotating beams undergoing parametric instability: Lagging-axial motion
The nonlinear free vibration and principal parametric resonance of rotating beams are investigated taking into account the lagging-axial coupling motion due to Coriolis force. This work tackles analytically the problem of parametric resonances induced by periodic modulation of the angular speed. The nonlinear equations of motion are obtained via a direct Lagrangian formulation.