During operation, turbine blades are subjected to intense mechanical (static and dynamic) and thermal loads in a corrosive and aggressive environment. The consequence of such loading is the gradual accumulation of diffuse fatigue damage, which eventually becomes localized as a fatigue crack. When the crack reaches a critical size, there is a danger of blade destruction with catastrophic consequences for the entire turbine. Timely detection of blade damage is possible at the stage of turbine repair using vibration diagnostics. The purpose of the work is to create an analytical approach that allows modeling the change in the vibration damping characteristics of a turbine blade with a fatigue crack, as well as the study of the influence of the crack parameters and the geometric parameters of the blade on the vibration damping characteristics of the blade to assess the effectiveness of vibration diagnostics of damage. The results of the study of the effect of a surface transverse crack on the damping characteristics of turbine blade oscillations are presented. As a result of the experimental and analytical study, the effect of the crack parameters (size and location of the crack) and the geometric parameters of the blade on the damping characteristics of blade vibrations was established. Vibration diagnostic of turbine blades, based on a change in the damping characteristics of its vibrations, is a sufficiently effective diagnostic feature for detecting relatively small cracks, the size of which does not pose a threat to the integrity of the blades. Given that the materials used for the manufacture of modern steam turbines and gas turbine engines have a rather low damping capacity, the use of changes in the damping characteristics of blade oscillations as a vibration diagnostic sign of damage is promising. Further work involves the study of the effect of cracks that appear on the edges of the blades on the damping characteristics of blade vibrations
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