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Handbook of Turbomachinery Second Edition Revised - Ventech!

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and/or clocking) effects than their stator–stator counterparts for transonic<br />

compressors.<br />

Aeroelastic Interaction (Blade Forced Response)<br />

All the aforementioned interaction effects are <strong>of</strong> a pure aerodynamic nature<br />

where the main concern is the corresponding time-averaged unsteady losses<br />

resulting from the interactions, which are usually small. The blade<br />

mechanical responses under those unsteady disturbances can have very<br />

important consequences. Excessive stress levels at a blade resonant<br />

condition, in which the frequency <strong>of</strong> an unsteady disturbance coincides<br />

with that <strong>of</strong> a particular blade vibration mode, may occur due to lack <strong>of</strong><br />

damping (aerodynamic and/or mechanical). The frequencies <strong>of</strong> the blade<br />

vibration modes at risk can be identified from the Campbell diagram (Fig.<br />

6), when the frequency curves (e.g., those for the first flap ‘‘1F’’ and the first<br />

torsion ‘‘1T’’) cross the engine order excitation lines (1EO, 2EO . . . ). Even if<br />

the designer can choose an appropriate condition to avoid resonance at<br />

design, it is difficult or impossible to do so at <strong>of</strong>f-design conditions. When<br />

the machine is started <strong>of</strong>f or shut down, blades will have to go through some<br />

resonance conditions, and it is important to be able to assess the unsteady<br />

Figure 6 Campbell diagram.<br />

Copyright © 2003 Marcel Dekker, Inc.

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