Journal of vibration and acoustics · 1986 · 82 citations · 0 references
Cracked RotorVibrationsEngineeringMechanicsMechanical EngineeringMechanical SystemsRotating AssemblyRotor DynamicRotordynamicsCracked ShaftRotor-bearing SystemComputational MechanicsStructural MechanicsDynamic Crack PropagationVibration ControlNonlinear VibrationStability
The study theoretically analyzes the dynamics of a rotor‑bearing system with a transverse shaft crack. The rotor assembly is modeled with finite rotating shaft elements, incorporating a rotating stiffness variation due to the crack expressed via a Fourier series of the bending curvature, and the resulting nonlinear, parametrically excited system is analyzed by a perturbation method with iteration, implemented in a complex‑variable computer code. The analysis results agree with prior analytical and experimental studies by Grabowski.
A theoretical analysis of the dynamics of a rotor-bearing system with a transversely cracked rotor is presented. The rotating assembly is modeled using finite rotating shaft elements and the presence of a crack is taken into account by a rotating stiffness variation. This stiffness variation is a function of the rotor’s bending curvature at the crack location and is represented by a Fourier series expansion. The resulting parametrically excited system is nonlinear and is analyzed using a perturbation method coupled with an iteration procedure. The system equations are written in terms of complex variables and an associated computer code has been developed for simulation studies. Results obtained by this analysis procedure are compared with previous analytical and experimental work presented by Grabowski.