Failures of turbine blades are frequently observed in turbomachinery.There maybe many differentcauses, but an important one is fatigue by vibration [1–3]. Detailed experiments of blade vibration are quite problematic given that installing sensors in compressors or turbine blades during operation is notoriously difficult,and instruments maybe intrusive and interfere with machine operation.Noncontact measurement
techniques have been proposed [4]; however,frequently they are very expensive or require long installation times. Numerical studies also face considerable difficulties.Not only have many blades to be modeled and computed,but also the fluid flow and its interaction with each one of the blades [5–8].
Unbalanced rotating shafts,such as turbines,that are connected to a common structure have been observed
to synchronize [9]. There also exists the definite possibility of the synchronization of the oscillations of turbine
blades fixed to a single shaft due to coupling through the fluid or the elasticity of the shaft.We know that a
single cantilever beam in the presence of cross-flow exhibits self-excited oscillations due to the interaction
between vortex shedding in the wake and the beam itself,so that the oscillations of a group of cantilever beams
coupled through a common base may synchronize too.Observation of this phenomenon has not been yet
reported,so that it is a strong and timely argument for making the present study.
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