Study on dynamic characteristics of blade-casing rub-impact coupling fault considering breathing crack
摘要
In the operational realms of aeroengines and land-based gas turbines, blade fractures frequently result from the synergy of crack and rubbing faults. In response, this paper introduces the Crack-impact Coupling Fault Model (CRCFM) to investigate the dynamic properties of blades with combined crack and rubbing faults. For rotating blades with cracks, the model formulates the blade's dynamic equations using the modal synthesis method and incorporates a radial-circumferential coupled breathing crack stiffness matrix. Concerning the rubbing force, this paper presents a revised friction force model that incorporates blade vibration, crack depth, position, and casing stiffness. In this paper, a model of a rotating blade with cracks is established based on the Timoshenko beam theory, and a model of a casing with supports and damping is established based on lumped mass points. The rotor and the casing have initial eccentricity, and the blade continuously and elastically rubs against the casing with Coulomb friction, and the study thoroughly examines the impact of casing stiffness, rotational speed, crack depth, and position on blade vibration. The findings reveal: (1) For rotating blades without coupled rubbing faults, a frequency doubling phenomenon emerges in the spectrum under airflow excitation; (2) For rotating blades with coupled crack and rubbing faults, an increase in crack depth, rotational speed, and casing stiffness results in greater rubbing forces and more severe rubbing faults. As the crack position varies from the blade root to the tip, the amplitude of the rubbing force initially decreases, then rises, and subsequently declines again; the breathing effect of blade cracks is influenced by both centrifugal and rubbing forces, with the dynamic behavior primarily influenced by the rubbing force; compared to rubbing faults, coupled faults lead to a greater amplitude in the blade's vibrational response.